Sample: All Data Dataset: Algebra I 2005-2006 (Hampton only, Units: es_02, cta1_04) Anon Student Id Session Id Time Time Zone Student Response Type Student Response Subtype Tutor Response Type Tutor Response Subtype Level(Unit) Level(Section) Problem Name Step Name Attempt At Step Outcome Selection Action Input Feedback Text Feedback Classification Help Level Total # Hints Condition Name Condition Type KC(Default) KC Category(Default) KC(Default) KC Category(Default) KC(Default) KC Category(Default) School Class 0w3IAZa8rQ session1 2005-09-09 12:24:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:25:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:25:16.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:25:21.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:25:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR rds 2y/2 = 8/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:25:42.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 OK rf 8/2 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:26:02.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:27:30.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-2+5)*2 strategic 1 ERROR rds (-2+5)*2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:27:34.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-2+5)*2 strategic 2 OK clt -2+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:27:38.0 CYCLE CYCLE ES_02 ES_02-1 EG30 3*2 strategic 1 OK mt 3*2 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:28:38.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7(-10-2) strategic 1 OK clt -10-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:28:42.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7*-12 strategic 1 OK mt 7*-12 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:28:56.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-9*-2 strategic 1 ERROR clt -2-9*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:29:10.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-9*-2 strategic 2 OK mt 9*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:29:53.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-(-18) strategic 1 OK clt -2-(-18) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:01.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6*-9-3 strategic 1 ERROR clt -6*-9-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:05.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6*-9-3 strategic 2 OK mt -6*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:16.0 CYCLE CYCLE ES_02 ES_02-1 EG29 54-3 strategic 1 OK clt 54-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:27.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-5+0) strategic 1 ERROR mt -10(-5+0) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:41.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-5+0) strategic 2 ERROR mt -10(-5+0) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:45.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-5+0) strategic 3 OK clt -5+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:30:58.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10*-5 strategic 1 OK mt -10*-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:31:10.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (7+5)*-9 strategic 1 OK clt 7+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:31:14.0 CYCLE CYCLE ES_02 ES_02-1 EG30 12*-9 strategic 1 OK mt 12*-9 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:31:29.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9-3*-3 strategic 1 OK mt 3*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:31:33.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9-(-9) strategic 1 ERROR mt 9-(-9) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:31:36.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9-(-9) strategic 2 OK clt 9-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:06.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (4-6)*-4 strategic 1 ERROR mt (4-6)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:11.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (4-6)*-4 strategic 2 OK clt 4-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:14.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -2*-4 strategic 1 OK mt -2*-4 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:30.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(0-4) strategic 1 ERROR mt -10(0-4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:34.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(0-4) strategic 2 OK clt 0-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:38.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10*-4 strategic 1 OK mt -10*-4 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:46.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2(-3-4) strategic 1 OK clt -3-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:51.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2*-7 strategic 1 OK mt -2*-7 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:32:57.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (0-6)*5 strategic 1 OK clt 0-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:01.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6*5 strategic 1 OK mt -6*5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:08.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8+0*-9 strategic 1 ERROR clt -8+0*-9 strategic default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:12.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8+0*-9 strategic 2 OK mt 0*-9 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:15.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8+0 strategic 1 OK clt -8+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:22.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-2*8 strategic 1 OK mt 2*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:26.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-16 strategic 1 OK clt 5-16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:36.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8+9*-7 strategic 1 OK mt 9*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:33:43.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8+(-63) strategic 1 OK clt -8+(-63) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:34:16.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (7+0)*-6 strategic 1 ERROR mt (7+0)*-6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:34:21.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (7+0)*-6 strategic 2 OK clt 7+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:34:29.0 CYCLE CYCLE ES_02 ES_02-1 EG30 7*-6 strategic 1 OK mt 7*-6 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:34:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1-8)*-1 strategic 1 OK clt -1-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:34:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG -1- 8 -1- 8
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG -1-- 8 -1-- 8
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG -1+-8 -1+-8
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 BUG -1+-8 -1+-8
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 BUG -1+-8 -1+-8
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 BUG -1+-8 -1+-8
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 BUG -1+-8 -1+-8
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:35:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 BUG -9 -9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:36:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 BUG -9 -9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:36:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 10 OK -9*-1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:36:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*-1 strategic 1 OK mt -9*-1 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:36:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 11 ERROR 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:37:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 12 OK -9*-1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:37:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*-1 strategic 2 ERROR clt -9*-1 strategic default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:37:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*-1 strategic 3 OK mt -9*-1 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:37:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 13 ERROR -9*-1=9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:37:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 14 OK 9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-5-4) strategic 1 OK clt -5-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -5+-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -5-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -5*-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:27.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -5*-4 You need to combine like terms in -9(-5-4). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -9 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:38:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:39:27.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 7 INITIAL_HINT -1 You need to combine like terms in -9(-5-4). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:39:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-5-4) strategic 2 OK clt -5-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:39:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -9--9 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:40:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -9--1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:40:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 ERROR -18 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:40:22.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 11 INITIAL_HINT -18 You need to combine like terms in -9(-5-4). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:40:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-5-4) strategic 3 OK clt -5-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 14 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 15 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 16 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 17 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 18 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 19 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 20 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 21 BUG 9*-9 9*-9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-5-4) strategic 4 OK clt -5-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:41:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 22 ERROR -9*-1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:43:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 23 OK (-9*-9) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:43:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9*-9 strategic 1 OK mt -9*-9 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:43:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 24 OK 81 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:43:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 2*-3-8 strategic 1 ERROR clt 2*-3-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:43:51.0 CYCLE CYCLE ES_02 ES_02-2 EG29 2*-3-8 strategic 2 OK mt 2*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:44:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -6-8 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:44:51.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6-8 strategic 1 OK clt -6-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:45:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -14 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:45:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-1-4) strategic 1 OK clt -1-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:45:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -1*-5 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:46:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1*-5 strategic 1 OK mt -1*-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:46:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 5 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:46:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+7*-5 strategic 1 ERROR clt -6+7*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:46:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+7*-5 strategic 2 OK mt 7*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:46:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 1*-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:47:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -6+-35 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:47:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-35 strategic 1 OK clt -6-35 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:47:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -41 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:47:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+8*-9 strategic 1 ERROR clt -10+8*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:47:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+8*-9 strategic 2 ERROR clt -10+8*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:47:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+8*-9 strategic 3 OK mt 8*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -10+-72 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-72 strategic 1 ERROR mt -10-72 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-72 strategic 2 ERROR mt -10-72 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-72 strategic 3 OK clt -10-72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -82 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*-6 strategic 1 ERROR clt -9+4*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*-6 strategic 2 ERROR clt -9+4*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*-6 strategic 3 ERROR rf -9+4*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:48:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*-6 strategic 4 OK mt 4*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:49:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -9*-24 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:49:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*-6 strategic 5 ERROR clt -9+4*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:50:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*-6 strategic 6 OK mt 4*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:50:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -5*-6 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:50:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -9*-24 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:50:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -9*-24 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:50:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR -9*-24 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:50:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR -9*-24 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:51:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR -13*-6 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:51:18.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 8 INITIAL_HINT -13*-6 You need to perform multiplication in -9+4*-6. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session1 2005-09-09 12:51:32.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR 30 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-8*-2 strategic 1 OK mt 8*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -8*16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -8*16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -8*16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -8*16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-8*-2 strategic 2 ERROR clt -8-8*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:16:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-8*-2 strategic 3 OK mt 8*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:17:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR 16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:17:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -8+16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:17:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8+16 strategic 1 OK clt -8+16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:18:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR 6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:18:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK 8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:18:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (7-7)*8 strategic 1 OK clt 7-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:18:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 0*8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 0*8 strategic 1 OK mt 0*8 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*7-3 strategic 1 ERROR clt 10*7-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*7-3 strategic 2 OK mt 10*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 70-3 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 70-3 strategic 1 OK clt 70-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:19:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 67 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:20:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-2*-6 strategic 1 OK mt 2*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:20:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -3+-12 -3+-12
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:21:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -3+-12 -3+-12
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:22:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 30 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:22:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 30 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:22:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR -3+9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:22:41.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 6 INITIAL_HINT -3+9 You need to perform multiplication in -3-2*-6. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:22:57.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-2*-6 strategic 2 OK mt 2*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:23:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK -3--12 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:23:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+12 strategic 1 OK clt -3+12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:23:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK 9 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:23:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 3*-4+4 strategic 1 OK mt 3*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:24:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG 4--12 4--12
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:24:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 4+-12 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:24:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4-12 strategic 1 OK clt 4-12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:24:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:25:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-2*7 strategic 1 OK mt 2*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:25:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 4-14 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:25:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-14 strategic 1 OK clt 4-14 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:25:40.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -10 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:25:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+5*-9 strategic 1 ERROR clt -4+5*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:25:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+5*-9 strategic 2 OK mt 5*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -4--45 -4--45
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -4--45 -4--45
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 BUG -4--45 -4--45
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 BUG -4--45 -4--45
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -4+-45 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-45 strategic 1 OK clt -4-45 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:26:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -49 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 8*-7-9 strategic 1 OK mt 8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -9--56 -9--56
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -9+-56 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-56 strategic 1 OK clt -9-56 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -65 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8+8*-2 strategic 1 OK mt 8*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:57.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 8--16 8--16
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG 8--16 8--16
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:27:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 BUG 8--16 8--16
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 8+- default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 8+-16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-16 strategic 1 ERROR mt 8-16 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-16 strategic 2 OK clt 8-16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:43.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -11(25-13) = y strategic 1 OK clt 25-13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:48.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -11*12 = y strategic 1 OK mt -11*12 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:57.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (22-7)*-3 strategic 1 OK clt 22-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:28:59.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = 15*-3 strategic 1 OK mt 15*-3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:29:11.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -13-2*-16 strategic 1 OK mt 2*-16 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:29:25.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -13-2*-16 strategic 2 ERROR clt y = -13-2*-16 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:29:31.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -13-2*-16 strategic 3 OK mt 2*-16 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:29:36.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -13-(-32) strategic 1 OK clt -13-(-32) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:04.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -32+35*-6 = y strategic 1 ERROR clt -32+35*-6 = y strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:10.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -32+35*-6 = y strategic 2 OK mt 35*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:15.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -32+(-210) = y strategic 1 OK clt -32+(-210) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:23.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = -9*-7-2 strategic 1 OK mt -9*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:27.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = 63-2 strategic 1 OK clt 63-2 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:35.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -28+18*-15 = x strategic 1 ERROR clt -28+18*-15 = x strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:39.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -28+18*-15 = x strategic 2 OK mt 18*-15 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:41.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -28+(-270) = x strategic 1 OK clt -28+(-270) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:48.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -18+12*-9 = x strategic 1 OK mt 12*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:50.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -18+(-108) = x strategic 1 OK clt -18+(-108) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:30:59.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 17(-12+2) strategic 1 ERROR mt y = 17(-12+2) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:00.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 17(-12+2) strategic 2 OK clt -12+2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 17(-12+2) strategic 3 ERROR mt y = 17(-12+2) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:15.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 17(-12+2) strategic 4 OK clt -12+2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:18.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 17*-10 strategic 1 OK mt 17*-10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:33.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = (-20+39)*-16 strategic 1 OK clt -20+39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:36.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = 19*-16 strategic 1 OK mt 19*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:47.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -44-2*-5 strategic 1 OK mt 2*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:31:52.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -44-(-10) strategic 1 OK clt -44-(-10) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:32:00.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = (-49-14)*-44 strategic 1 OK clt -49-14 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:32:03.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = -63*-44 strategic 1 OK mt -63*-44 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:32:13.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -45(-49-19) = y strategic 1 OK clt -49-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:32:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 ERROR -68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:32:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 BUG 68*-45 68*-45
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:01.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 4 INITIAL_HINT -45+-68 You need to combine like terms in -45(-49-19). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:07.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -45(-49-19) = y strategic 2 OK clt -49-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:15.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -45(-49-19) = y strategic 3 OK clt -49-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 5 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 6 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 7 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 8 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 9 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 10 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 11 ERROR -45-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 12 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 13 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 14 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 15 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 16 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 17 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 18 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 19 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 20 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 21 ERROR -45+-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -45(-49-19) = y strategic 4 OK clt -49-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:33:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 22 ERROR -68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:34:00.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 23 OK -45*-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:34:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -45*-68 = y strategic 1 OK mt -45*-68 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:35:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 24 OK 3060 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:36:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (-25-47)*-20 strategic 1 OK clt -25-47 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:25.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 ERROR 7 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 3 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 4 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 5 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 6 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 7 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 8 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 9 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 10 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:38:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 11 ERROR 7[ default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:40:37.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 12 ERROR -72 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:40:37.0 HINT HINT ES_02 ES_02-4 EG34B FinalAnswer strategic 13 INITIAL_HINT -72 You need to combine like terms in (-25-47)*-20. HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:41:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 14 OK -72*-20 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:41:27.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = -72*-20 strategic 1 OK mt -72*-20 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:45:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 15 OK 1440 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:45:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-8-7)*-9 strategic 1 OK clt -8-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:45:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -15*-9 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:45:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -15*-9 strategic 1 OK mt -15*-9 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:47:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 135 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:47:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+5 = -1 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+5-5 = -1-5 strategic 1 OK clt -1-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+5-5 = -6 strategic 1 OK clt 9x+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -6 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = -6/9 strategic 1 OK rf 9x/9 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 1+8y strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-1 = 1+8y-1 strategic 1 OK clt -8-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = 1+8y-1 strategic 1 OK clt 1+8y-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:48:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = 8y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/8 = 8y/8 strategic 1 OK rf 8y/8 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-2y = -8 strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-2y = -8 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-2y+3 = -8+3 strategic 1 OK clt -8+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-2y+3 = -5 strategic 1 OK clt -3-2y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y = -5 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:49:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2y/-2 = -5/-2 strategic 1 OK rf -2y/-2 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+6y = -3 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+6y-9 = -3-9 strategic 1 OK clt -3-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+6y-9 = -12 strategic 1 OK clt 9+6y-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = -12 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = -12/6 strategic 1 OK rf -12/6 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = -2 strategic 1 OK rf 6y/6 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:50:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -5+8x strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:51:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7+5 = -5+8x+5 strategic 1 OK clt 7+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:51:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -5+8x+5 strategic 1 OK clt -5+8x+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:51:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session2 2005-09-14 12:51:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/8 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:17:55.0 HINT HINT ES_02 ES_02-6 EG40 -8y-8 = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y-8 = 4 strategic 2 ERROR clt -8y-8 = 4 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y-8 = 4 strategic 3 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y-8+8 = 4+8 strategic 1 OK typein -8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y-8+8 = 4+8 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y-8+8 = 4+8 strategic 3 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y-8+8 = 4+8 strategic 4 OK typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:18:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y = 12 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 12/-8 strategic 1 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 12/-8 strategic 2 BUG typein 12/8 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 12/-8 strategic 3 OK typein -12/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 7+2x strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 7+2x-7 strategic 1 OK typein -15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 7+2x-7 strategic 2 OK typein 2x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:19:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/2 = 2x/2 strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:20:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/2 = 2x/2 strategic 2 OK typein -15/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:20:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+5y = 6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:20:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+5y-6 = 6-6 strategic 1 BUG typein 6 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:21:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+5y-6 = 6-6 strategic 2 OK typein 5y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:21:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+5y-6 = 6-6 strategic 3 BUG typein -12 -12 is equal to -6 minus 6. You need to calculate 6 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:21:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+5y-6 = 6-6 strategic 4 BUG typein 6 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:22:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+5y-6 = 6-6 strategic 5 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:22:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5y = 0 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:22:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5y/5 = 0/5 strategic 1 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:22:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5y/5 = 0/5 strategic 2 OK typein 0/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:23:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+4 = 7 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:23:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+4-4 = 7-4 strategic 1 OK typein -7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:23:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+4-4 = 7-4 strategic 2 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:23:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 3 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:23:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 3/-7 strategic 1 OK typein -3/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:24:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 3/-7 strategic 2 BUG typein -1x You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:24:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 3/-7 strategic 3 ERROR typein 1-1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:24:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 3/-7 strategic 4 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:24:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-6 = -5 strategic 1 BUG subtract 6 Since -6 is negative, you should add to remove it from the left side. Erase your last step and add 6 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:24:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-6 = -5 strategic 2 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:24:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-6+6 = -5+6 strategic 1 OK typein -7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:25:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-6+6 = -5+6 strategic 2 BUG typein -1 The result should be positive. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:25:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-6+6 = -5+6 strategic 3 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:25:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-6+6 = -5+6 strategic 4 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:25:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y = 1 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:25:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = 1/-7 strategic 1 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:25:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = 1/-7 strategic 2 OK typein -1/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -3+y/10 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+3 = -3+y/10+3 strategic 1 OK clt -1+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = -3+y/10+3 strategic 1 OK clt -3+y/10+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = y/10 strategic 1 ERROR mt 2 = y/10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = y/10 strategic 2 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*10 = y/10*10 strategic 1 OK mt 2*10 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:26:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 20 = y/10*10 strategic 1 OK mt y/10*10 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = y/-5+3 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1-3 = y/-5+3-3 strategic 1 OK clt -1-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = y/-5+3-3 strategic 1 OK clt y/-5+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = y/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-5 = y/-5*-5 strategic 1 OK mt -4*-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 20 = y/-5*-5 strategic 1 OK mt y/-5*-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-8+8 = 1 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-8+8-8 = 1-8 strategic 1 OK clt 1-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-8+8-8 = -7 strategic 1 OK clt y/-8+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-8 = -7 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:27:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-8*-8 = -7*-8 strategic 1 OK mt -7*-8 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-8*-8 = 56 strategic 1 OK mt y/-8*-8 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = -7+(x/-5) strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+7 = -7+(x/-5)+7 strategic 1 OK clt 4+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 11 = -7+(x/-5)+7 strategic 1 OK clt -7+(x/-5)+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 11 = x/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 11*-5 = x/-5*-5 strategic 1 OK mt 11*-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -55 = x/-5*-5 strategic 1 OK mt x/-5*-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:28:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-4) = -9 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:29:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-4) = -9 strategic 2 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:29:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-4)+1 = -9+1 strategic 1 OK typein y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:29:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+(y/-4)+1 = -9+1 strategic 2 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:29:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4 = -8 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:30:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = -8*-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:30:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = -8*-4 strategic 2 OK typein 32 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:30:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = y/-3-7 strategic 1 ERROR add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:30:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = y/-3-7 strategic 2 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:31:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+7 = y/-3-7+7 strategic 1 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:31:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+7 = y/-3-7+7 strategic 2 OK typein y/-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:31:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:31:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-3 = y/-3*-3 strategic 1 ERROR typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:31:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-3 = y/-3*-3 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-3 = y/-3*-3 strategic 3 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:32:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+6 = -5 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:32:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+6-6 = -5-6 strategic 1 OK typein x/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:32:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+6-6 = -5-6 strategic 2 BUG typein 11 You need to calculate -5 minus 6, not 6 minus -5. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+6-6 = -5-6 strategic 3 BUG typein -1 -1 is equal to 5 minus 6. You need to calculate -5 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+6-6 = -5-6 strategic 4 OK typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2 = -11 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = -11*2 strategic 1 ERROR typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -11*2 = x/2*2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -11*2 = x/2*2 strategic 2 OK typein -22 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = -2+x/8 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+2 = -2+x/8+2 strategic 1 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:33:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+2 = -2+x/8+2 strategic 2 OK typein x/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = x/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*8 = x/8*8 strategic 1 OK typein 56 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*8 = x/8*8 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = x/2-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+3 = x/2-3+3 strategic 1 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+3 = x/2-3+3 strategic 2 OK typein x/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = x/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*2 = x/2*2 strategic 1 OK typein 22 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*2 = x/2*2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = x/10+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-9 = x/10+9-9 strategic 1 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:34:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-9 = x/10+9-9 strategic 2 OK typein x/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:35:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/10 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:35:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 1 OK typein -40 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:35:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:35:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -7/y strategic 1 BUG multiply -7 To remove the coefficient of -7/y, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -7/y strategic 2 BUG multiply -7 To remove the coefficient of -7/y, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -7/y strategic 3 ERROR divide -7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -7/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = -7/y*y strategic 1 OK mt -7/y*y default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = -7 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y/-6 = -7/-6 strategic 1 OK rf -6y/-6 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -8/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:36:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -8/x*x strategic 1 OK mt -8/x*x default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -8 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = -8/-4 strategic 1 OK rf -8/-4 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = 2 strategic 1 OK rf -4x/-4 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = -3/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = -3/x*x strategic 1 OK mt -3/x*x default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = -3 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x/-2 = -3/-2 strategic 1 OK rf -2x/-2 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = -5 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x*x = -5x strategic 1 OK mt 4/x*x default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:37:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -5x strategic 1 BUG multiply 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:38:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -5x strategic 2 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:38:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/-5 = -5x/-5 strategic 1 OK rf -5x/-5 default_condition hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:38:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y = -7 strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:38:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y = -7 strategic 2 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:38:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y = -7 strategic 3 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:38:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 1 BUG typein -8/y You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:39:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 2 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:39:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 3 OK typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:39:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 4 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:39:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:39:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 1 OK typein -8/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:39:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x = 3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x*x = 3x strategic 1 OK typein 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x*x = 3x strategic 2 OK typein 3x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/3 = 3x/3 strategic 1 OK typein 7/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/3 = 3x/3 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2/x*x strategic 1 BUG typein 4 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2/x*x strategic 2 ERROR typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2/x*x strategic 3 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:40:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2/x*x strategic 4 BUG typein -2/x You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2/x*x strategic 5 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2/x*x strategic 6 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -2 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = -2/4 strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = -2/4 strategic 2 OK typein -2/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = -2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = -2/x*x strategic 1 OK typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:41:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = -2/x*x strategic 2 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = -2 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x/2 = -2/2 strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x/2 = -2/2 strategic 2 OK typein -2/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = -3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -3x strategic 1 OK typein -3x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -3x strategic 2 OK typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = -3x strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:42:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-3 = -3x/-3 strategic 1 OK typein -7/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 0w3IAZa8rQ session3 2005-09-16 12:43:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-3 = -3x/-3 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 34f4oB5Cod session6 2005-10-05 08:47:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK TIME SPENT TAKING SCUBA DIVING LESSONS default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:47:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:47:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG COST OF SCUBA LESSONS COST OF SCUBA LESSONS
Try total cost of scuba lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 OK TOTAL COST OF SCUBA LESSONS default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 ERROR 90.75+ default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:36.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 OK 90.75+25.50D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:47.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:49:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:49:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:50:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 BUG 192.75-90.75/25.50 192.75-90.75/25.50
Use parentheses. Type (192.75 - 90.75)/ 25.5 as (192.75 - 90.75)/ 25.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:50:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 192.75-90.75)/25.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:51:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 OK (192.75-90.75)/25.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:51:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK (2385.75-90.75)/25.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 1 OK AMOUNT OF CARPET default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 1 BUG DOLLARS DOLLARS
You entered DOLLARS in the wrong column. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 2 BUG YARDS YARDS
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 3 OK SQUARE YARDS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 1 ERROR LENGTH default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 2 OK TOTAL COST default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:52:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:53:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 2 OK 14.95D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:53:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C1 1 OK 14 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:53:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 1 OK 10.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:53:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C2 1 OK 747.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:53:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 1 OK 1196 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:54:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C1 1 OK 747.50/14.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:54:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 1 OK 1196/14.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:55:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK AMOUNT OF MONEY SPENT ON LONG DISTANCE default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:55:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:55:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK TOTAL NUMBER OF POINTS default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:55:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session6 2005-10-05 08:56:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 ERROR 5000+1.00*5 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:23:44.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 1 INITIAL_HINT 5000+1.00*5 Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:23:45.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 2 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:23:49.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:23:53.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 4 NEXT_HINT Write an expression that means the same thing as 5000 plus 5 times the amount spent on long distance. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:23:56.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 5 NEXT_HINT Enter 5D + 5000 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:24:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 6 OK 5D+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:24:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 BUG 55*5+5000 55*5+5000
You entered 5,275.00 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:24:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 2 BUG 55*5+5000 55*5+5000
You entered 5,275.00 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:24:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C2 1 OK 55*5+5000 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:24:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 3 OK 55 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:24:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:25:16.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 2 INITIAL_HINT 27.50 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:25:17.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 3 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:25:21.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 4 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:25:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 5 OK 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:26:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:26:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 BUG 46000-5000/5 46000-5000/5
Use parentheses. Type (46000 - 5000)/ 5 as (46000 - 5000)/ 5 BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:26:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 2 OK (46000-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:27:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 OK (27000-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:27:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK AREA OF CONSTRUCRION default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:27:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK COST default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:27:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK SQUARE FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:27:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 2 OK 39.50D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 ERROR 150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 2 ERROR 150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 3 OK 150+85 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:28:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 1 OK 177750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:29:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C2 1 OK 18762.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:30:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 OK 177750/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:30:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 ERROR 18762/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:30:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 2 OK 18762.50/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK NUMBER OF STUDENTS ENROLLED IN ALGEBRA default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK NUMBER OF STUDENTS RECIEVING A OR B default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:32.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 INITIAL_HINT Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:34.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 2 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:37.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 3 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:41.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So percent is the same as 0.15 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 5 NEXT_HINT Enter 0.15S. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:31:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 6 OK .15S default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:32:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:32:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:32:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:32:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:32:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 BUG 48*.15 48*.15
To find the number of students in algebra given the number of students earning an A or B in Algebra, you need to unwind your usual calculation. Divide 48 by the slope 0.15, rather than multiplying. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:33:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 2 OK 48/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:33:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 ERROR 9/.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:33:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 2 OK 9/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C1 1 OK NUMBER OF PEOPLE default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:34:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C2 1 OK COST OF THE CAKE default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:34:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:35:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C1 1 OK P default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:35:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 1 OK 1.45P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:35:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:35:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C2 1 OK 29 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:35:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C2 1 OK 108.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C1 1 OK 108.75/1.45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C1 1 OK 29/1.45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK TIME default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK DISTANCE THE JET HAS FLOWN default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK MILES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK H default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:37:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 OK 1300H+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:37:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 OK 1.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 OK .50 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 1 INITIAL_HINT 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 2 NEXT_HINT You know that the expression 1300H + 775 represents the total distance it has flown. What value of the time will make the general expression 1300H + 775 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1300H + 775 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 4 NEXT_HINT Solve the equation 1300H + 775 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 1 INITIAL_HINT You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:39:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 2 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:40:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 3 ERROR 1300* default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:40:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:40:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 2 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:40:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 4 INITIAL_HINT 1300* You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:41:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 5 INITIAL_HINT Solve the equation 1300H + 775 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:41:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 6 INITIAL_HINT Solve the equation 1300H + 775 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:41:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 7 ERROR 1300 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:41:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 5 ERROR 1300 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:42:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 3 ERROR 1300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:42:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 6 ERROR 1300 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:42:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 7 INITIAL_HINT 1300 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:42:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 8 ERROR 1300* default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 9 ERROR 1300*2+775 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:44:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 10 ERROR 1300*2+775 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:44:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 11 INITIAL_HINT 1300*2+775 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:44:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 12 ERROR 1300*3+775 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:45:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 4 ERROR 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:45:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 5 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:45:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 6 INITIAL_HINT 3 Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:45:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 7 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:45:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 8 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session7 2005-10-07 08:45:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 9 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:33:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 1 INITIAL_HINT 1300 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:33:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 2 NEXT_HINT You know that the expression 1300H + 775 represents the total distance it has flown. What value of the time will make the general expression 1300H + 775 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:33:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1300H + 775 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:33:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 4 NEXT_HINT Solve the equation 1300H + 775 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 5 BUG 1750 1750
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 6 ERROR 775 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 7 ERROR 1300 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 8 INITIAL_HINT 1300 Solve the equation 1300H + 775 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 OK 1300H+775=1750 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 1750 strategic 1 ERROR clt 1300H+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 1750 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 1750 strategic 3 NEXT_HINT 775 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 775 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:34:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 1750 strategic 4 NEXT_HINT You can subtract 775 from both sides of the equation to eliminate the constant value of 775 (775 - 775 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 1750 strategic 5 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300H = 975 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300H = 975 strategic 2 NEXT_HINT 1300H is 1300 times H. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300H = 975 strategic 3 NEXT_HINT Divide both sides by 1300. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H = 975 strategic 4 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 9 OK 3/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 1 INITIAL_HINT 3 Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 2 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:35:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 3 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:36:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 1 INITIAL_HINT 1300*3+775 You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:36:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 2 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:37:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 3 INITIAL_HINT 1300*3+775 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 BUG 1300H+775=3500 1300H+775=3500
Please check to make sure that 1300H+775=3500 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:38:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 4 BUG 3500 3500
You entered 3,500 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:38:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 4 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 5 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 6 ERROR 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 7 INITIAL_HINT 2 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 8 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 9 ERROR 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 10 ERROR 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:39:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 11 INITIAL_HINT 5 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:40:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 12 ERROR 2.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:40:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 13 ERROR 2.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:40:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 14 ERROR 2.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:40:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 15 INITIAL_HINT 2.75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:41:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 16 ERROR 2.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:41:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 17 INITIAL_HINT 2.50 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:41:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 18 ERROR 6 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:41:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 3500 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:42:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H = 2725 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:42:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 19 OK 109/52 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:42:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 1 OK CURRENT PAY default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C2 1 OK EMPLOYEES RAISE default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 2 INITIAL_HINT D Enter an expression to calculate the raise using the current salary. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:18.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 3 NEXT_HINT What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 4 NEXT_HINT Write an expression that means the same thing as 5 percent of the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 5 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 5 percent is the same as 0.05 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 6 NEXT_HINT Enter 0.05D. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:43:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 7 OK .05D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:44:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R4C1 1 OK 17500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:44:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 1 OK 43000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:44:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C2 1 OK 5000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C2 1 OK 3125 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:44:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 1 OK 0.05D=5000 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 5000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 5000 strategic 2 NEXT_HINT 0.05D is 0.05 times D. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:16.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 5000 strategic 3 NEXT_HINT Divide both sides by 0.05. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 5000 strategic 4 OK divide .05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 1 OK 100000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 2 OK 0.05D=3125 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 3125 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 3125 strategic 2 NEXT_HINT 0.05D is 0.05 times D. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:45:57.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 3125 strategic 3 NEXT_HINT Divide both sides by 0.05. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:46:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 3125 strategic 4 OK divide .05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:46:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C1 1 OK 62500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:46:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R1C1 1 OK GROSS PAY default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:46:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R1C2 1 OK TAKE HOME PAY default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C2 1 ERROR .062D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C2 2 OK .62D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R4C1 1 OK 6000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:47:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R5C1 1 OK 45000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:48:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R6C2 1 OK 3100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R7C2 1 OK 1534.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 1 OK 0.62D=3100 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:48:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C 0.62D = 3100 strategic 1 OK divide .62 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:48:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R6C1 1 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:49:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 2 OK 0.62D=1534.5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C 0.62D = 1534.5 strategic 1 OK divide .62 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:49:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R7C1 1 OK 2475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:49:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C1 1 OK TIME default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:49:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C1 1 OK H default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C2 1 OK TOTAL PAY default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C2 1 OK 11.25H default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R4C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 1 OK 42.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:50:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C2 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:51:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C2 1 OK 781.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:51:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 1 OK 11.25H=1000 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:51:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25H = 1000 strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:51:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C1 1 OK 88.8889 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:51:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 2 OK 11.25H=781.25 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25H = 781.25 strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C1 1 OK 69.4444 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R1C1 1 OK TIME default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R2C1 1 BUG HOURS HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R2C1 2 BUG MINUTES MINUTES
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R2C1 3 OK SECONDS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R1C2 1 OK TOTAL DISTANCE THE CRAWLER HAS TRAVELED default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:52:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:53:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:53:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R3C2 1 OK 175+2.5S default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R4C1 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:53:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R5C1 1 OK 180 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:53:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R6C2 1 OK 4000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:53:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R7C2 1 OK 7070 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B ValidEquations 1 OK 175+2.5S=4000 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B 175+2.5S = 4000 strategic 1 OK divide 2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32B 70+S = 1600 strategic 1 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32B 70+S = 1600 strategic 2 NEXT_HINT 70 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 70 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32B 70+S = 1600 strategic 3 NEXT_HINT You can subtract 70 from both sides of the equation to eliminate the constant value of 70 (70 - 70 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B 70+S = 1600 strategic 4 OK subtract 70 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R6C1 1 OK 1530 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B ValidEquations 2 OK 175+2.5S=7070 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:55:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B 175+2.5S = 7070 strategic 1 OK divide 2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:55:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B 70+S = 2828 strategic 1 OK subtract 70 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:55:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32B R7C1 1 OK 2758 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK SNOW CONES SOLD default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:55:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK PROFIT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session8 2005-10-14 08:55:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:17:39.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C1 1 INITIAL_HINT Define a variable for the number of snow cones we sell. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:17:40.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the number of snow cones we sell. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:17:43.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:17:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 4 OK C default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:17:57.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 1 INITIAL_HINT Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:17:58.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 2 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:18:04.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the profit plus the change in the profit for each snow cone times the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:18:07.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 4 NEXT_HINT Write an expression that means the same thing as -60.00 dollars plus 1.5 times the number of snow cones we sell. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:18:17.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 5 NEXT_HINT Enter -60.00 plus 1.5C HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:18:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 6 OK -60+1.5C default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:18:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 BUG 300*1.50-60 300*1.50-60
You entered 390 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:19:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 2 BUG 300*1.50-60 300*1.50-60
You entered 390 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:19:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C2 1 OK 300*1.50-60 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:19:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 3 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:19:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:19:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 BUG 540 540
You entered 540 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:19:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:20:35.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 2 INITIAL_HINT 540 540 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 540 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:20:36.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 3 NEXT_HINT You know that the expression 1.5C - 60 represents the profit. What value of the number of snow cones we sell will make the general expression 1.5C - 60 output the given value of 540 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:20:39.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 4 NEXT_HINT Since the general expression for the profit is 1.5C - 60 and since the profit in this question is 540, set the two of them equal to find the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:20:42.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 5 NEXT_HINT Solve the equation 1.5C - 60 = 540. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 1 OK 1.5C-60=540 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:24.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C 1.5C-60 = 540 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:25.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C 1.5C-60 = 540 strategic 2 NEXT_HINT -60 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -60 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:41.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C 1.5C-60 = 540 strategic 3 NEXT_HINT You can add 60 to both sides of the equation to eliminate the constant value of -60 (-60 + 60 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5C-60 = 540 strategic 4 OK add 60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5C = 600 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:21:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 6 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:22:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:22:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 2 OK 1.5C-60=283.5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:22:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5C-60 = 283.5 strategic 1 OK add 60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:22:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5C = 343.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:23:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:23:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C1 1 OK LENGTH OF THE MOBILE TELEPHONE CALL default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:23:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 1 ERROR MILES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:23:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 2 OK MINUTES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:23:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 1 OK COST OF THE CALL default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:08.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R3C2 1 INITIAL_HINT Enter an expression to calculate the cost of a mobile telephone call using the length of the phone call. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:09.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R3C2 2 NEXT_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:14.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the cost of a mobile telephone call plus the change in the cost of a mobile telephone call for each minute times the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:17.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R3C2 4 NEXT_HINT Write an expression that means the same thing as 2.00 dollars plus 1.5 times the length of the phone call. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:21.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R3C2 5 NEXT_HINT Enter 2.00 plus 1.5M HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C2 6 OK 2+1.5M default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R5C1 1 OK 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C2 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:24:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C2 1 OK 54.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:25:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 1 OK 2+1.5M=20 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:25:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 2+1.5M = 20 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:25:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.5M = 18 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:25:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C1 1 OK 12 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:26:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 2 OK 2+1.5M=54.5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:26:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 2+1.5M = 54.5 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:26:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.5M = 52.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:26:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C1 1 OK 35 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK CELLULAR PHONE TIME USED NEXT MONTH default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 OK MINUTES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK AMOUNT OF NEXT BILL default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:29.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 1 INITIAL_HINT Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:30.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 2 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:37.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:40.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 4 NEXT_HINT Write an expression that means the same thing as -5.26 dollars plus 0.21 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:27:47.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 5 NEXT_HINT Enter -5.26 plus 0.21M HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:28:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 6 OK -5.26+.21M default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:28:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:28:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:28:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 ERROR 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:28:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 BUG 27 27
You entered 27 in the wrong row. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:29:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 2 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:29:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:29:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK -5.26+0.21M=20 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:30:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21M = 20 strategic 1 BUG subtract 5.26 Since -5.26 is negative, you should add to remove it from the left side. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:30:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21M = 20 strategic 2 OK subtract -5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:30:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21M = 25.26 strategic 1 OK divide .21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:30:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:30:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK -5.26+0.21M=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:31:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21M = 15.74 strategic 1 OK subtract -5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:31:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21M = 21 strategic 1 OK divide .21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 2 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:31:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R1C1 1 OK COST OF THE ITEMS default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:31:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R1C2 1 OK COST OF THE ORDER default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:19.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 10%."). The other is that you need to add the flat fee of $15 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:23.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 10%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:26.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 4 NEXT_HINT Discounting each item in the order by 10%. means subtracting 0.1 times the cost of the items. So the discount is 0.1D. Since the discount is subtracted from the cost of the items, the total cost of the order will be D-0.1D. Don't forget the flat fee of $15 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:32.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 5 NEXT_HINT Write an expression that means the cost of the items minus 0.1 times the cost of the items plus the flat fee of $15 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 6 NEXT_HINT Enter D-0.1D+15 (you could also enter 0.9D + 15, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:32:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R3C2 7 OK .9D+15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:33:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R4C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:33:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R5C1 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:33:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R6C2 1 OK 442.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:33:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R7C2 1 OK 375 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 ValidEquations 1 OK 0.9D+15=442.5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:34:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9D+15 = 442.5 strategic 1 OK subtract 15 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:34:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9D = 427.5 strategic 1 OK divide .9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:34:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R6C1 1 OK 475 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:34:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 ValidEquations 2 OK 0.9D+15=375 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9D+15 = 375 strategic 1 OK subtract 15 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9D = 360 strategic 1 OK divide .9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R7C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK HOURS FROM NOW default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK TEMPERATURE OF THE LIQUID default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 BUG DEGREES FAHRENHEIT DEGREES FAHRENHEIT
DEGREES FAHRENHEIT is a unit of Temperature, but it is not the most appropriate one for this problem. What other units measure Temperature? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:35:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 2 OK CELSIUS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK H default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 1 INITIAL_HINT Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:05.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 2 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:13.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:17.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 4 NEXT_HINT Write an expression that means the same thing as -36 minus 4.5 times the number of hours from now. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:21.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 5 NEXT_HINT Enter -36 - 4.5H HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:36:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 6 OK -36-4.5H default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:37:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:37:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:37:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 OK -72 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:37:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:38:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -36-4.5H=-72 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:38:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = -72 strategic 1 BUG add -36 To remove -36 from the left side, you can add a positive to it. Erase your last step and add 36 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:38:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = -72 strategic 2 BUG add -72 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:03.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = -72 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:03.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = -72 strategic 4 NEXT_HINT -36 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -36 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:06.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = -72 strategic 5 NEXT_HINT You can add 36 to both sides of the equation to eliminate the constant value of -36 (-36 + 36 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = -72 strategic 6 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H = -36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-4.5H=0 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5H = 0 strategic 1 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:39:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H = 36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:40:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:40:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK DIGGING TIME default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:40:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 BUG HOURS HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:40:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 BUG MINUTES MINUTES
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:40:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 3 OK MONTHS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:40:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK DEPTH OF THE MINE default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 1 INITIAL_HINT Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:33.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 2 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 4 NEXT_HINT Write an expression that means the same thing as -1550 minus 7 times the digging time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 5 NEXT_HINT Enter -1550 - 7M HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 6 OK -1550-7M default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:42:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 24*10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:42:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 ERROR 24*100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:42:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 ERROR 24*50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:42:59.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 4 INITIAL_HINT 24*50 Read the problem statement. What information is given in question 1 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:43:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 5 NEXT_HINT Important information about the digging time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:43:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 6 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:43:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 7 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:44:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 8 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:44:36.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 9 INITIAL_HINT 12*10 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 10 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:45:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 11 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:45:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 12 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 13 ERROR 12*100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:46:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 14 ERROR 12*20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 15 ERROR 12*50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:46:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 16 ERROR 12*1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:49:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:49:33.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -7 times the digging time minus 1550. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:50:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 17 INITIAL_HINT 12*1000 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:51:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 18 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 19 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:53:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 20 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:53:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 21 OK -120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:53:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:54:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7M=0 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:54:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 1 BUG add -1550 To remove -1550 from the left side, you can add a positive to it. Erase your last step and add 1550 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:54:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 2 BUG add 0 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:55:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 3 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:55:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = 1550 strategic 1 BUG divide -7M Dividing anything by itself will leave 1. If you divide -7M by -7, M will be left. Erase your last step and then divide by -7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:55:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = 1550 strategic 2 BUG divide 7 In this equation, M is multiplied by -7. Dividing by 7 leaves -M, so you still need to remove the negative sign. It is better to divide by -7, since that would leave M. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:55:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = 1550 strategic 3 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:55:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 M = -1550/7 strategic 1 BUG rf M = -1550/7 strategic You already solved the equation. M is -1550/7. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:55:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 ERROR 7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:56:09.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 M = -1550/7 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session9 2005-10-19 08:56:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 2 OK -1550/7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7M=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:45:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 -1550-7M = -1564 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:45:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 -1550-7M = -1564 strategic 2 NEXT_HINT -1550 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1550 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:45:53.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 -1550-7M = -1564 strategic 3 NEXT_HINT You can add 1550 to both sides of the equation to eliminate the constant value of -1550 (-1550 + 1550 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = -1564 strategic 4 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:25.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:26.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:30.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:35.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:37.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:38.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:42.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 3 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:46.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:47.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:53.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:46:58.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:02.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:10.0 HINT HINT ES_02 ES_02-1 EG30 (-4-4)*-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:11.0 HINT HINT ES_02 ES_02-1 EG30 (-4-4)*-9 strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:14.0 HINT HINT ES_02 ES_02-1 EG30 (-4-4)*-9 strategic 3 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:18.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4-4)*-9 strategic 4 OK clt -4-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:21.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -8*-9 strategic 1 ERROR clt -8*-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:25.0 HINT HINT ES_02 ES_02-1 EG30 -8*-9 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:26.0 HINT HINT ES_02 ES_02-1 EG30 -8*-9 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:29.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -8*-9 strategic 4 OK mt -8*-9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:39.0 CYCLE CYCLE ES_02 ES_02-1 EG31 6(-7+6) strategic 1 OK clt -7+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:42.0 CYCLE CYCLE ES_02 ES_02-1 EG31 6*-1 strategic 1 OK mt 6*-1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:48.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -10-1*0 strategic 1 ERROR clt -10-1*0 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:53.0 HINT HINT ES_02 ES_02-1 EG29 -10-1*0 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:54.0 HINT HINT ES_02 ES_02-1 EG29 -10-1*0 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:47:58.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -10-1*0 strategic 4 OK mt 1*0 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:01.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -10-0 strategic 1 OK clt -10-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:08.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-6*-5 strategic 1 ERROR clt -3-6*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:12.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-6*-5 strategic 2 OK mt 6*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:14.0 HINT HINT ES_02 ES_02-1 EG28 -3-(-30) strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:15.0 HINT HINT ES_02 ES_02-1 EG28 -3-(-30) strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:18.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-(-30) strategic 3 OK clt -3-(-30) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:25.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-7)*-9 strategic 1 ERROR mt (-9-7)*-9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:28.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-7)*-9 strategic 2 OK clt -9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:31.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -16*-9 strategic 1 OK mt -16*-9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:37.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(-2+4) strategic 1 OK clt -2+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:41.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1*2 strategic 1 OK mt -1*2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+7*3 strategic 1 ERROR clt -1+7*3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:50.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+7*3 strategic 2 OK mt 7*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:48:53.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+21 strategic 1 OK clt -1+21 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:00.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-10*-6 strategic 1 OK mt 10*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:07.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-(-60) strategic 1 ERROR mt -2-(-60) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:10.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-(-60) strategic 2 OK clt -2-(-60) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:20.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (8-5)*6 strategic 1 OK clt 8-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:24.0 CYCLE CYCLE ES_02 ES_02-1 EG30 3*6 strategic 1 OK mt 3*6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:31.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-5*-1 strategic 1 OK mt 5*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:33.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-(-5) strategic 1 OK clt -3-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:39.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8*-9-3 strategic 1 OK mt 8*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:41.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -72-3 strategic 1 OK clt -72-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9+0)*7 strategic 1 ERROR mt (-9+0)*7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:49:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9+0)*7 strategic 2 OK clt -9+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 63 63
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG 63 63
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG -63 -63
Just combine like terms in -9+0. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 BUG -63 -63
Just combine like terms in -9+0. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 BUG -63 -63
Just combine like terms in -9+0. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:17.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 6 INITIAL_HINT -63 You need to combine like terms in (-9+0)*7. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 OK -9*7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*7 strategic 1 OK mt -9*7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 OK -63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:43.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*7 strategic 2 OK mt -9*7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:50:47.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 OK -63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 5(-9-3) strategic 1 OK clt -9-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 5*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 5*-12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 5*-12 strategic 1 OK mt 5*-12 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -60 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1-3)*-7 strategic 1 OK clt -1-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -4*-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:51:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -4*-7 strategic 1 OK mt -4*-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:52:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 28 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:52:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6-9*-2 strategic 1 OK mt 9*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:52:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -3*-2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:52:41.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 2 INITIAL_HINT -3*-2 You need to perform multiplication in 6-9*-2. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:52:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 6-(-18) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:52:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6+18 strategic 1 OK clt 6+18 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 24 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-3*4 strategic 1 OK mt 3*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -3-12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-12 strategic 1 OK clt -3-12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -15 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-4-9) strategic 1 OK clt -4-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -7*-13 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:53:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-13 strategic 1 OK mt -7*-13 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session10 2005-10-21 08:55:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 91 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:18:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6-5*-1 strategic 1 ERROR clt 6-5*-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:18:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6-5*-1 strategic 2 OK mt 5*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:18:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:19:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG 1 1
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:19:07.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 3 INITIAL_HINT 1 You need to perform multiplication in 6-5*-1. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:19:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK 6-(-5) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:19:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6+5 strategic 1 OK clt 6+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:19:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK 11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:19:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-7*-1 strategic 1 OK mt 7*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:20:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 3-(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:20:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3+7 strategic 1 OK clt 3+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:20:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:20:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-9*6 strategic 1 OK mt 9*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:20:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -1-63 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -1-54 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-54 strategic 1 OK clt -1-54 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -55 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 5+7*7 strategic 1 OK mt 7*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 5+49 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 5+49 strategic 1 OK clt 5+49 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 54 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:21:43.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-5)*-8 strategic 1 OK clt -9-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:22:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -14*(-8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:22:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -14*-8 strategic 1 OK mt -14*-8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:22:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 112 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3+1*-3 strategic 1 OK mt 1*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:22.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 4*-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:23.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 4*-3 You need to perform multiplication in 3+1*-3. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 3+-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-3 strategic 1 OK clt 3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:23:53.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6*-8+10 strategic 1 OK mt -6*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -48+10 -48+10
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 48+10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 48+10 strategic 1 OK clt 48+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 58 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-2*-5 strategic 1 OK mt 2*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 6*-5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 6*-5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:45.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 3 INITIAL_HINT 6*-5 You need to perform multiplication in 8-2*-5. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:24:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 8-(-10) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8+10 strategic 1 OK clt 8+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 18 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+4*7 strategic 1 OK mt 4*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -9+28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+28 strategic 1 OK clt -9+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 19 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:50.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 39(-45+45) = x strategic 1 ERROR mt 39(-45+45) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:53.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 39(-45+45) = x strategic 2 OK clt -45+45 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:25:58.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 39*0 = x strategic 1 OK mt 39*0 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:06.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-32+44)*-42 strategic 1 OK clt -32+44 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:09.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = 12*-42 strategic 1 OK mt 12*-42 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:20.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -32+19*-3 strategic 1 ERROR clt x = -32+19*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:23.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -32+19*-3 strategic 2 OK mt 19*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:26.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -32+(-57) strategic 1 OK clt -32+(-57) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:36.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = 50*39+11 strategic 1 OK mt 50*39 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:40.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = 1950+11 strategic 1 OK clt 1950+11 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:49.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -25(-11-11) = x strategic 1 OK clt -11-11 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:26:52.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -25*-22 = x strategic 1 OK mt -25*-22 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:02.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -13-35*-40 strategic 1 ERROR clt x = -13-35*-40 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:05.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -13-35*-40 strategic 2 OK mt 35*-40 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:08.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -13-(-1400) strategic 1 OK clt -13-(-1400) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:16.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -9-4*-9 = x strategic 1 OK mt 4*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:18.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -9-(-36) = x strategic 1 OK clt -9-(-36) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:26.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = (-5-9)*-45 strategic 1 ERROR mt x = (-5-9)*-45 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:29.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = (-5-9)*-45 strategic 2 OK clt -5-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:33.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = -14*-45 strategic 1 OK mt -14*-45 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:42.0 CYCLE CYCLE ES_02 ES_02-3 EG34C y = (-37-35)*-47 strategic 1 OK clt -37-35 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:45.0 CYCLE CYCLE ES_02 ES_02-3 EG34C y = -72*-47 strategic 1 OK mt -72*-47 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:53.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -4*-9+8 strategic 1 OK mt -4*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:27:56.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = 36+8 strategic 1 OK clt 36+8 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:06.0 CYCLE CYCLE ES_02 ES_02-3 EG35A 21(31-5) = y strategic 1 OK clt 31-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:09.0 CYCLE CYCLE ES_02 ES_02-3 EG35A 21*26 = y strategic 1 OK mt 21*26 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -8(-23-6) = y strategic 1 OK clt -23-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 ERROR -8*17 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:34.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 2 INITIAL_HINT -8*17 You need to combine like terms in -8(-23-6). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK -8*(-29) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:28:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -8*-29 = y strategic 1 OK mt -8*-29 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:29:15.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 4 ERROR 72 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:29:19.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 5 INITIAL_HINT 72 In the group above, you have [-8]*[-29]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:29:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 6 OK 232 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:29:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-22+42)*-6 strategic 1 OK clt -22+42 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:30:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK 20*(-6) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:30:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = 20*-6 strategic 1 OK mt 20*-6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:30:22.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -120 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:30:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = -3(-4-7) strategic 1 OK clt -4-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:30:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 ERROR -3*(-12) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:30:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 ERROR -3*3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:31:00.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 3 INITIAL_HINT -3*3 You need to combine like terms in -3(-4-7). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:31:16.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 4 OK -3*-11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:31:20.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = -3*-11 strategic 1 OK mt -3*-11 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:31:25.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 5 ERROR -33 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:31:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 6 OK 33 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:31:39.0 CYCLE CYCLE ES_02 ES_02-4 EG39B y = 13*34 strategic 1 OK mt 13*34 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:09.0 CYCLE CYCLE ES_02 ES_02-4 EG39B FinalAnswer strategic 1 OK 442 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 7x-6 strategic 1 ERROR clt 1 = 7x-6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:25.0 HINT HINT ES_02 ES_02-5 EG40 1 = 7x-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:26.0 HINT HINT ES_02 ES_02-5 EG40 1 = 7x-6 strategic 3 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:30.0 HINT HINT ES_02 ES_02-5 EG40 1 = 7x-6 strategic 4 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 7x-6 strategic 5 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+6 = 7x-6+6 strategic 1 OK clt 7x-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+6 = 7x strategic 1 OK clt 1+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:32:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/7 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/7 = x strategic 1 OK rf 7/7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x+7 = -8 strategic 1 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:18.0 HINT HINT ES_02 ES_02-5 EG40 5x+7 = -8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x+7 = -8 strategic 3 BUG add 7 Since 7 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 7 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:27.0 HINT HINT ES_02 ES_02-5 EG40 5x+7 = -8 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:28.0 HINT HINT ES_02 ES_02-5 EG40 5x+7 = -8 strategic 5 NEXT_HINT 7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:31.0 HINT HINT ES_02 ES_02-5 EG40 5x+7 = -8 strategic 6 NEXT_HINT You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x+7 = -8 strategic 7 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x+7-7 = -8-7 strategic 1 OK clt 5x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = -8-7 strategic 1 OK clt -8-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = -15 strategic 1 BUG multiply 5 To remove the coefficient of 5x, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:54.0 HINT HINT ES_02 ES_02-5 EG40 5x = -15 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:55.0 HINT HINT ES_02 ES_02-5 EG40 5x = -15 strategic 3 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:33:58.0 HINT HINT ES_02 ES_02-5 EG40 5x = -15 strategic 4 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = -15 strategic 5 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x/5 = -15/5 strategic 1 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -15/5 strategic 1 OK rf -15/5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x+9 = 9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x+9-9 = 9-9 strategic 1 OK clt 3x+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = 9-9 strategic 1 OK clt 9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = 0 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x/3 = 0/3 strategic 1 OK rf 0/3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x/3 = 0 strategic 1 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:34:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y-1 = 5 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y-1+1 = 5+1 strategic 1 OK clt 7y-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 5+1 strategic 1 OK clt 5+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 6 strategic 1 BUG multiply 7 To remove the coefficient of 7y, you need to divide. Erase your last step and then divide both sides by 7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 6 strategic 2 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y/7 = 6/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x-5 = -3 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x-5+5 = -3+5 strategic 1 OK clt -6x-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -3+5 strategic 1 OK clt -3+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:35:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 2 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = 2/-6 strategic 1 OK rf 2/-6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = -1/3 strategic 1 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+3x = 6 strategic 1 BUG add -9 To remove -9 from the left side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+3x = 6 strategic 2 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+3x+9 = 6+9 strategic 1 OK clt -9+3x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = 6+9 strategic 1 OK clt 6+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = 15 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x/3 = 15/3 strategic 1 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 15/3 strategic 1 OK rf 15/3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:36:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 9y-1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+1 = 9y-1+1 strategic 1 OK clt 9y-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+1 = 9y strategic 1 OK clt 2+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 9y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/9 = 9y/9 strategic 1 OK rf 9y/9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4-6y strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:32.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4-6y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:33.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4-6y strategic 3 NEXT_HINT 4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:36.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4-6y strategic 4 NEXT_HINT You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4-6y strategic 5 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 4-6y-4 strategic 1 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:37:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 4-6y-4 strategic 2 BUG typein 4-6Y You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 4-6y-4 strategic 3 OK typein 4-6Y-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 4-6y-4 strategic 1 OK clt 4-6y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 BUG Y Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 BUG 6Y 6Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG 4-6Y 4-6Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:38:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 6 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -6Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -6Y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 4-6y-4 strategic 2 OK clt 4-6y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -6Y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -6Y strategic 1 ERROR divide -67 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -6Y strategic 2 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-6 = -6Y/-6 strategic 1 OK typein -4/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-6 = -6Y/-6 strategic 2 BUG typein -6Y/6 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:39:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-6 = -6Y/-6 strategic 3 OK typein 6Y/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:40:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-6 = 6Y/6 strategic 1 OK rf 6Y/6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:40:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:40:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6 = 6 strategic 1 ERROR subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:40:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6 = 6 strategic 2 ERROR add -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:40:59.0 HINT HINT ES_02 ES_02-6 EG40 -4y+6 = 6 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:00.0 HINT HINT ES_02 ES_02-6 EG40 -4y+6 = 6 strategic 4 NEXT_HINT 6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:04.0 HINT HINT ES_02 ES_02-6 EG40 -4y+6 = 6 strategic 5 NEXT_HINT You can subtract 6 from both sides of the equation to eliminate the constant value of 6 (6 - 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6 = 6 strategic 6 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6-6 = 6-6 strategic 1 ERROR typein Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6-6 = 6-6 strategic 2 ERROR typein Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6-6 = 6-6 strategic 3 OK typein -4Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:41:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y+6-6 = 6-6 strategic 4 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4Y = 0 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4Y/-4 = 0/-4 strategic 1 OK typein -4Y/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4Y/-4 = 0/-4 strategic 2 OK typein 0/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4Y/-4 = 0/-4 strategic 3 OK rf 0/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4Y/-4 = 0/-4 strategic 4 OK rf 0/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4Y/-4 = 0/-4 strategic 5 OK rf -4Y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:42:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:45:08.0 HINT HINT ES_02 ES_02-6 EG40 -8 = -7x+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:45:09.0 HINT HINT ES_02 ES_02-6 EG40 -8 = -7x+8 strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:45:35.0 HINT HINT ES_02 ES_02-6 EG40 -8 = -7x+8 strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:45:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -7x+8 strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:45:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-8 = -7x+8-8 strategic 1 BUG typein 0 0 is equal to -8 plus 8. You need to calculate -8 minus 8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-8 = -7x+8-8 strategic 2 OK typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-8 = -7x+8-8 strategic 3 OK typein -7X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = -7X strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/-7 = -7X/-7 strategic 1 OK typein -16/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/-7 = -7X/-7 strategic 2 OK typein -7X/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/-7 = -7X/-7 strategic 3 OK rf -16/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:41.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above is the simplified form of the expression -16/-7. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 16/7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 16/7 = -7X/-7 strategic 1 OK rf -7X/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:46:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 16/7 = X strategic 1 BUG rf 16/7 = X strategic You already solved the equation. x is 16/7. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4y+1 strategic 1 ERROR subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4y+1 strategic 2 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-1 = 4y+1-1 strategic 1 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-1 = 4y+1-1 strategic 2 OK typein 4Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 4Y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:47:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/4 = 4Y/4 strategic 1 OK typein -1/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/4 = 4Y/4 strategic 2 OK typein 4Y/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/4 = 4Y/4 strategic 3 OK rf 4Y/4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -6y-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+5 = -6y-5+5 strategic 1 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+5 = -6y-5+5 strategic 2 OK typein -6Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = -6Y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-6 = -6Y/-6 strategic 1 OK typein 9/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-6 = -6Y/-6 strategic 2 OK typein -6Y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-6 = -6Y/-6 strategic 3 OK rf 9/-6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:48:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 9/-6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:49:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-6 = -6Y/-6 strategic 4 OK rf -6Y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:49:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:49:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -2x+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:49:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-7 = -2x+7-7 strategic 1 OK typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:49:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-7 = -2x+7-7 strategic 2 OK typein -2X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:50:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -2X strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:50:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-2 = -2X/-2 strategic 1 OK typein -11/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:50:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-2 = -2X/-2 strategic 2 OK typein -2X/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:50:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-2 = -2X/-2 strategic 3 OK rf -2X/-2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:50:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-2 = X strategic 1 OK rf -11/-2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/-9-6 strategic 1 ERROR clt 1 = x/-9-6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:19.0 HINT HINT ES_02 ES_02-7 EG41 1 = x/-9-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:20.0 HINT HINT ES_02 ES_02-7 EG41 1 = x/-9-6 strategic 3 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:23.0 HINT HINT ES_02 ES_02-7 EG41 1 = x/-9-6 strategic 4 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/-9-6 strategic 5 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+6 = x/-9-6+6 strategic 1 OK clt x/-9-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:51:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+6 = x/-9 strategic 1 OK clt 1+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/-9 strategic 1 OK rf x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:11.0 HINT HINT ES_02 ES_02-7 EG41 7 = -x/9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:12.0 HINT HINT ES_02 ES_02-7 EG41 7 = -x/9 strategic 2 NEXT_HINT In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:16.0 HINT HINT ES_02 ES_02-7 EG41 7 = -x/9 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -9/1, which is the same as mulitplying by -9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = -x/9 strategic 4 OK multiply -9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-9 = -x/9*-9 strategic 1 OK mt -x/9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:52:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-9 = x strategic 1 OK mt 7*-9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:53:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = 1+y/5 strategic 1 ERROR multiply -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:53:21.0 HINT HINT ES_02 ES_02-7 EG41 -1 = 1+y/5 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:53:22.0 HINT HINT ES_02 ES_02-7 EG41 -1 = 1+y/5 strategic 3 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:53:25.0 HINT HINT ES_02 ES_02-7 EG41 -1 = 1+y/5 strategic 4 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:53:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = 1+y/5 strategic 5 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:53:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1-1 = 1+y/5-1 strategic 1 OK clt 1+y/5-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1-1 = y/5 strategic 1 OK clt -1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = y/5 strategic 1 ERROR multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = y/5 strategic 2 ERROR rf -2 = y/5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:22.0 HINT HINT ES_02 ES_02-7 EG41 -2 = y/5 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:23.0 HINT HINT ES_02 ES_02-7 EG41 -2 = y/5 strategic 4 NEXT_HINT In y/5, y is divided by 5. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:26.0 HINT HINT ES_02 ES_02-7 EG41 -2 = y/5 strategic 5 NEXT_HINT Multiply both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = y/5 strategic 6 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*5 = y/5*5 strategic 1 ERROR clt -2*5 = y/5*5 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*5 = y/5*5 strategic 2 OK mt y/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:54:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*5 = y strategic 1 OK mt -2*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:04.0 HINT HINT ES_02 ES_02-7 EG41 x/3+9 = 1 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:04.0 HINT HINT ES_02 ES_02-7 EG41 x/3+9 = 1 strategic 2 NEXT_HINT 9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:08.0 HINT HINT ES_02 ES_02-7 EG41 x/3+9 = 1 strategic 3 NEXT_HINT You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+9 = 1 strategic 4 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+9-9 = 1-9 strategic 1 OK clt 1-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+9-9 = -8 strategic 1 OK clt x/3+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = -8 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = -8*3 strategic 1 OK mt -8*3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = -24 strategic 1 OK mt x/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = x/7-4 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+4 = x/7-4+4 strategic 1 OK clt x/7-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+4 = x/7 strategic 1 OK clt 6+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:55:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = x/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:56:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*7 = x/7*7 strategic 1 OK mt x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session11 2005-10-26 08:56:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*7 = x strategic 1 OK mt 10*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:20.0 HINT HINT ES_02 ES_02-7 EG41 -7 = 1+(x/-4) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:21.0 HINT HINT ES_02 ES_02-7 EG41 -7 = 1+(x/-4) strategic 2 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:24.0 HINT HINT ES_02 ES_02-7 EG41 -7 = 1+(x/-4) strategic 3 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = 1+(x/-4) strategic 4 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7-1 = 1+(x/-4)-1 strategic 1 OK clt 1+(x/-4)-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7-1 = x/-4 strategic 1 OK clt -7-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/-4 strategic 1 OK rf x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -x/4 strategic 1 ERROR rf -8 = -x/4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:18:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -x/4 strategic 2 ERROR divide 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -x/4 strategic 3 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:05.0 HINT HINT ES_02 ES_02-7 EG41 -8*4 = -x/4*4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:06.0 HINT HINT ES_02 ES_02-7 EG41 -8*4 = -x/4*4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*4 = -x/4*4 strategic 3 OK mt -x/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*4 = -4x/4 strategic 1 OK mt -8*4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:17.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -4x/4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:18.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -4x/4 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32 = -4x/4 strategic 3 OK rf -4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:36.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -x strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:37.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -x strategic 2 NEXT_HINT -x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32 = -x strategic 3 BUG divide -32 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:53.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -x strategic 4 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:54.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -x strategic 5 NEXT_HINT -x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:19:58.0 HINT HINT ES_02 ES_02-7 EG41 -32 = -x strategic 6 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32 = -x strategic 7 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32/-1 = -x/-1 strategic 1 OK rf -x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -32/-1 = x strategic 1 OK rf -32/-1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(x/-4) = 2 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(x/-4)-1 = 2-1 strategic 1 OK clt 1+(x/-4)-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = 2-1 strategic 1 OK clt 2-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:20:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = 1 strategic 1 OK rf x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:02.0 HINT HINT ES_02 ES_02-7 EG41 -x/4 = 1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:03.0 HINT HINT ES_02 ES_02-7 EG41 -x/4 = 1 strategic 2 NEXT_HINT In -x/4, x is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:06.0 HINT HINT ES_02 ES_02-7 EG41 -x/4 = 1 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -4/1, which is the same as mulitplying by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/4 = 1 strategic 4 OK multiply -4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/4*-4 = 1*-4 strategic 1 OK mt 1*-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/4*-4 = -4 strategic 1 OK mt -x/4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5+(x/-7) = -2 strategic 1 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5+(x/-7)-(-5) = -2-(-5) strategic 1 OK clt -5+(x/-7)-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7 = -2-(-5) strategic 1 OK clt -2-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7 = 3 strategic 1 OK rf x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:21:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/7 = 3 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/7*7 = 3*7 strategic 1 OK mt 3*7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/7*7 = 21 strategic 1 OK mt -x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:07.0 HINT HINT ES_02 ES_02-7 EG41 -7x/7 = 21 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:08.0 HINT HINT ES_02 ES_02-7 EG41 -7x/7 = 21 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7x/7 = 21 strategic 3 OK rf -7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:22.0 HINT HINT ES_02 ES_02-7 EG41 -x = 21 strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:23.0 HINT HINT ES_02 ES_02-7 EG41 -x = 21 strategic 2 NEXT_HINT -x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 21 strategic 3 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/-1 = 21/-1 strategic 1 OK rf 21/-1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/-1 = -21 strategic 1 OK rf -x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9 = 6 strategic 1 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:22:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 1 BUG typein 0 0 is equal to 6 plus -6. You need to calculate 6 minus -6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:23:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 2 BUG typein -12 You need to calculate 6 minus -6, not -6 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:23:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 3 BUG typein 0 0 is equal to 6 plus -6. You need to calculate 6 minus -6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:02.0 HINT HINT ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:03.0 HINT HINT ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 5 NEXT_HINT Type in -6+y/9-(-6) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 6 ERROR typein -6+(Y/6)-(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:37.0 HINT HINT ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:38.0 HINT HINT ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 8 NEXT_HINT Type in -6+y/9-(-6) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 9 OK typein -6+(Y/9)-(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:24:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 10 BUG typein 0 0 is equal to 6 plus -6. You need to calculate 6 minus -6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+y/9-(-6) = 6-(-6) strategic 11 OK typein 6-(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+Y/9-(-6) = 6+6 strategic 1 OK clt -6+Y/9-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG -6 -6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6, is not one of the Y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG Y/9 Y/9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, Y/9, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 BUG -6 -6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6, is not one of the Y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 3 OK Y/9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 ERROR Y/6 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 2 OK Y/9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK Y/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9 = 6+6 strategic 1 OK clt 6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:25:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:26:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9 = 12 strategic 1 ERROR rf Y/9 = 12 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:26:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9 = 12 strategic 2 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:26:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 12*9 strategic 1 OK typein 108 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:26:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 12*9 strategic 2 ERROR typein 81 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 12*9 strategic 3 OK typein Y/9*9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 108 strategic 1 OK mt Y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 81 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR 9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:45.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:27:55.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 INITIAL_HINT 9 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 OK 9Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 9Y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 9Y/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9Y/9 = 108 strategic 1 OK rf 9Y/9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+8 = 9 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+8-8 = 9-8 strategic 1 ERROR typein X/2-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+8-8 = 9-8 strategic 2 OK typein X/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:28:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+8-8 = 9-8 strategic 3 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/2 = 1 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/2*2 = 1*2 strategic 1 OK typein X/2*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/2*2 = 1*2 strategic 2 OK typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/2*2 = 2 strategic 1 OK mt X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 2X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 2X/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2X/2 = 2 strategic 1 OK rf 2X/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:29:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:30:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/2-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:30:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+6 = x/2-6+6 strategic 1 ERROR typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:30:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+6 = x/2-6+6 strategic 2 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:30:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+6 = x/2-6+6 strategic 3 BUG typein X/2-6 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:30:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+6 = x/2-6+6 strategic 4 OK typein X/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = X/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*2 = X/2*2 strategic 1 OK typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*2 = X/2*2 strategic 2 BUG typein X/2 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*2 = X/2*2 strategic 3 OK typein X/2*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = X/2*2 strategic 1 OK mt X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 2X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 2X/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = 2X/2 strategic 1 ERROR mt 10 = 2X/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = 2X/2 strategic 2 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*2 = 2X/2*2 strategic 1 OK typein 20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*2 = 2X/2*2 strategic 2 OK typein 2X/2*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:31:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = 2X/2*2 strategic 1 OK mt 2X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 4X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 4X/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = 4X/2 strategic 1 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20*2 = 4X/2*2 strategic 1 OK typein 40 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20*2 = 4X/2*2 strategic 2 OK typein 4X/2*2 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40 = 4X/2*2 strategic 1 ERROR rf 4X/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 BUG X X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:32:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 BUG X X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40 = 4X/2*2 strategic 2 OK mt 4X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR 8X/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 OK 8X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 8X/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40 = 8X/2 strategic 1 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40*2 = 8X/2*2 strategic 1 OK typein 80 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:33:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40*2 = 8X/2*2 strategic 2 OK typein 8X/2*2 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:01.0 HINT HINT ES_02 ES_02-8 EG41 80 = 8X/2*2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:02.0 HINT HINT ES_02 ES_02-8 EG41 80 = 8X/2*2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80 = 8X/2*2 strategic 3 OK mt 8X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK 16X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 16X/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80 = 16X/2 strategic 1 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:38.0 HINT HINT ES_02 ES_02-8 EG41 80 = 16X/2 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:39.0 HINT HINT ES_02 ES_02-8 EG41 80 = 16X/2 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80 = 16X/2 strategic 4 OK rf 16X/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG X X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:34:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80 = 16X/2 strategic 5 OK rf 16X/2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 16 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:26.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 INITIAL_HINT 4 The common factor between the numerator and denominator of [16]/[2] is 2. This set of entry boxes represent the simplified form of [16]/[2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:51.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression 16X/2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:35:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK 8X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:01.0 HINT HINT ES_02 ES_02-8 EG41 80 = 8X strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:02.0 HINT HINT ES_02 ES_02-8 EG41 80 = 8X strategic 2 NEXT_HINT 8X is 8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80 = 8X strategic 3 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80/8 = 8X/8 strategic 1 OK typein 80/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80/8 = 8X/8 strategic 2 BUG typein 8X You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80/8 = 8X/8 strategic 3 BUG typein 8X*8 8X*8 is equal to 8X times 8. You need to calculate 8X divided by 8. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80/8 = 8X/8 strategic 4 OK typein 8X/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 80/8 = 8X/8 strategic 5 OK rf 8X/8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:36:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:37:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = 1+(x/-4) strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:37:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-1 = 1+(x/-4)-1 strategic 1 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:37:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-1 = 1+(x/-4)-1 strategic 2 BUG typein X/-4+1 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:37:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-1 = 1+(x/-4)-1 strategic 3 BUG typein 1+X/-4 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:38:05.0 HINT HINT ES_02 ES_02-8 EG41 9-1 = 1+(x/-4)-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:38:06.0 HINT HINT ES_02 ES_02-8 EG41 9-1 = 1+(x/-4)-1 strategic 5 NEXT_HINT Type in 1+(x/-4)-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:38:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-1 = 1+(x/-4)-1 strategic 6 OK typein X/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:38:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = X/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:38:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-4 = X/-4*-4 strategic 1 OK typein -32 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:38:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-4 = X/-4*-4 strategic 2 OK typein X/-4*-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = X/-4*-4 strategic 1 OK mt X/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR X4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -4X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -4X/-4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = -4X/-4 strategic 1 OK rf -4X/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:39:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -7+(y/-8) strategic 1 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 1 BUG typein -6 -6 is equal to 1 plus -7. You need to calculate 1 minus -7. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 2 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 3 ERROR typein 7/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 4 ERROR typein 7/-8+-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:51.0 HINT HINT ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:40:52.0 HINT HINT ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 6 NEXT_HINT Type in -7+(y/-8)-(-7) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:41:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-(-7) = -7+(y/-8)-(-7) strategic 7 OK typein Y/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = Y/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-8 = Y/-8*-8 strategic 1 BUG typein 64 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-8 = Y/-8*-8 strategic 2 OK typein -64 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-8 = Y/-8*-8 strategic 3 BUG typein Y/-8 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-8 = Y/-8*-8 strategic 4 OK typein Y/-8*-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -64 = Y/-8*-8 strategic 1 OK mt Y/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:42:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -8Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:43:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:43:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -8Y/-8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:43:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -64 = -8Y/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:43:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -64*-8 = -8Y/-8*-8 strategic 1 BUG typein -512 You are multiplying a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:43:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -64*-8 = -8Y/-8*-8 strategic 2 OK typein 512 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:44:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -64*-8 = -8Y/-8*-8 strategic 3 BUG typein -8Y/-8 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:44:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -64*-8 = -8Y/-8*-8 strategic 4 OK typein -8Y/-8*-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:44:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 512 = -8Y/-8*-8 strategic 1 OK mt -8Y/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:44:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 64Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:44:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 64Y/-8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 512 = 64Y/-8 strategic 1 OK rf 64Y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 BUG 8Y 8Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 BUG 64Y 64Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -8Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:33.0 HINT HINT ES_02 ES_02-8 EG41 512 = -8Y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:45:35.0 HINT HINT ES_02 ES_02-8 EG41 512 = -8Y strategic 2 NEXT_HINT -8Y is -8 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:46:05.0 HINT HINT ES_02 ES_02-8 EG41 512 = -8Y strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:46:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 512 = -8Y strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:46:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 512/-8 = -8Y/-8 strategic 1 OK typein 512/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:46:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 512/-8 = -8Y/-8 strategic 2 OK typein -8Y/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:46:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 512/-8 = -8Y/-8 strategic 3 OK rf -8Y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:46:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10 = -5 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 1 ERROR typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 2 BUG typein -15 -15 is equal to -5 minus 10. You need to calculate -5 plus 10. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 3 ERROR typein 15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 4 ERROR typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 5 ERROR typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:40.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:41.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 7 NEXT_HINT Type in x/-9-10+10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 8 OK typein X/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:57.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 9 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:47:58.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 10 NEXT_HINT Type in -5+10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:48:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 11 ERROR typein 15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:48:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-10+10 = -5+10 strategic 12 OK typein -5+10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:48:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9 = -5+10 strategic 1 OK clt -5+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:48:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 15 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:48:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -15 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:49:00.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT -15 In the group above, you have [-5]+[10]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:49:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:49:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9 = 5 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:49:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = 5*-9 strategic 1 BUG typein X/-9*9 You are multiplying a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = 5*-9 strategic 2 OK typein X/-9*-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = 5*-9 strategic 3 OK typein -45 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = -45 strategic 1 OK mt X/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -9X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR -9X.-9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR -9X/.-9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:50:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -9X/-9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9X/-9 = -45 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9X/-9 = -45 strategic 2 OK rf -9X/-9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 6+y/8 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-6 = 6+y/8-6 strategic 1 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-6 = 6+y/8-6 strategic 2 OK typein Y/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:51:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = Y/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*8 = Y/8*8 strategic 1 OK typein -32 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*8 = Y/8*8 strategic 2 ERROR typein 7/8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*8 = Y/8*8 strategic 3 OK typein Y/8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = Y/8*8 strategic 1 OK mt Y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 8Y/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = 8Y/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:52:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32*8 = 8Y/8*8 strategic 1 OK typein -256 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32*8 = 8Y/8*8 strategic 2 OK typein 8Y/8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256 = 8Y/8*8 strategic 1 ERROR rf 8Y/8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256 = 8Y/8*8 strategic 2 OK mt 8Y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 BUG 84Y/8 84Y/8
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 64Y/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256 = 64Y/8 strategic 1 OK rf 64Y/8 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:53:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 BUG 64Y 64Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 8Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256 = 8Y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256/8 = 8Y/8 strategic 1 BUG typein 32 You are dividing a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256/8 = 8Y/8 strategic 2 OK typein -32 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -256/8 = 8Y/8 strategic 3 OK typein 1Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = 1Y strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32/1 = 1Y/1 strategic 1 OK typein -32 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session12 2005-10-28 08:54:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32/1 = 1Y/1 strategic 2 OK typein 1Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:22:59.0 HINT HINT ES_02 ES_02-8 EG41 x/10+10 = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:22:59.0 HINT HINT ES_02 ES_02-8 EG41 x/10+10 = 4 strategic 2 NEXT_HINT 10 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:03.0 HINT HINT ES_02 ES_02-8 EG41 x/10+10 = 4 strategic 3 NEXT_HINT You can subtract 10 from both sides of the equation to eliminate the constant value of 10 (10 - 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10+10 = 4 strategic 4 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10+10-10 = 4-10 strategic 1 OK typein X/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10+10-10 = 4-10 strategic 2 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/10 = -6 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:33.0 HINT HINT ES_02 ES_02-8 EG41 X/10*10 = -6*10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:34.0 HINT HINT ES_02 ES_02-8 EG41 X/10*10 = -6*10 strategic 2 NEXT_HINT Type in X/10*10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/10*10 = -6*10 strategic 3 OK typein X/10*10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:23:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/10*10 = -6*10 strategic 4 OK typein -60 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:00.0 HINT HINT ES_02 ES_02-8 EG41 X/10*10 = -60 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:01.0 HINT HINT ES_02 ES_02-8 EG41 X/10*10 = -60 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/10*10 = -60 strategic 3 OK mt X/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 10X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 10X/10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:19.0 HINT HINT ES_02 ES_02-8 EG41 10X/10 = -60 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:20.0 HINT HINT ES_02 ES_02-8 EG41 10X/10 = -60 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10X/10 = -60 strategic 3 OK rf 10X/10 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:37.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -5+(x/-5) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -5+(x/-5) strategic 2 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:24:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 1 BUG typein -4 You need to calculate -1 minus -5, not -5 minus -1. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 2 BUG typein -6 -6 is equal to -1 plus -5. You need to calculate -1 minus -5. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:14.0 HINT HINT ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:15.0 HINT HINT ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 4 NEXT_HINT Type in -1-(-5) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 5 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 6 ERROR typein X/-5-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:51.0 HINT HINT ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:25:52.0 HINT HINT ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 8 NEXT_HINT Type in -5+(x/-5)-(-5) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-(-5) = -5+(x/-5)-(-5) strategic 9 OK typein -5+X/-5-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:15.0 HINT HINT ES_02 ES_02-8 EG41 4 = -5-x/5+5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:16.0 HINT HINT ES_02 ES_02-8 EG41 4 = -5-x/5+5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = -5-x/5+5 strategic 3 OK clt -5-x/5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 BUG X/5 X/5
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK -x/5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -X/5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:26:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = -X/5 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*5 = -X/5*5 strategic 1 OK typein 20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*5 = -X/5*5 strategic 2 OK typein -X/5*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = -X/5*5 strategic 1 ERROR rf 20 = -X/5*5 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:20.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X/5*5 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:21.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X/5*5 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = -X/5*5 strategic 4 OK mt -X/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -5X/5 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = -5X/5 strategic 1 OK rf -5X/5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 BUG X X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:27:56.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT X Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG -5X -5X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 BUG 5X 5X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG X X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 BUG -5 -5
The most appropriate common factor results in a negative numerator and positive denominator. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 ERROR 1X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:47.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[5] is 5. This set of entry boxes represent the simplified form of [-5]/[5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:28:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:04.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-X strategic 2 INITIAL_HINT 1 The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 3 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:19.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[5] is 5. This set of entry boxes represent the simplified form of [-5]/[5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:32.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:45.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT X Above is the simplified form of the expression -5X/5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK -X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:55.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:29:56.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X strategic 2 NEXT_HINT -X is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = -X strategic 3 BUG divide 20 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:05.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X strategic 4 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:06.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X strategic 5 NEXT_HINT -X is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:09.0 HINT HINT ES_02 ES_02-8 EG41 20 = -X strategic 6 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20 = -X strategic 7 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20/-1 = -X/-1 strategic 1 OK typein 20/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20/-1 = -X/-1 strategic 2 BUG typein -X You haven't performed any operations. BUG default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20/-1 = -X/-1 strategic 3 OK typein -X/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 20/-1 = -X/-1 strategic 4 OK rf -X/-1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:49.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 11 INITIAL_HINT Above is the simplified form of the expression -X/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:30:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+y/9 = -8 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+y/9-(-8) = -8-(-8) strategic 1 OK typein Y/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+y/9-(-8) = -8-(-8) strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9 = 0 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 0*9 strategic 1 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 0*9 strategic 2 OK typein Y/9*9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/9*9 = 0 strategic 1 OK mt Y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:31:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 9Y/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9Y/9 = 0 strategic 1 OK rf 9Y/9 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = y/-4-4 strategic 1 BUG add -4 To remove -4 from the right side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:23.0 HINT HINT ES_02 ES_02-8 EG41 9 = y/-4-4 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:24.0 HINT HINT ES_02 ES_02-8 EG41 9 = y/-4-4 strategic 3 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = y/-4-4 strategic 4 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+4 = y/-4-4+4 strategic 1 OK typein 13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+4 = y/-4-4+4 strategic 2 OK typein Y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13 = Y/-4 strategic 1 ERROR mt 13 = Y/-4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:32:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13 = Y/-4 strategic 2 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13*-4 = Y/-4*-4 strategic 1 BUG typein 52 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13*-4 = Y/-4*-4 strategic 2 OK typein -52 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13*-4 = Y/-4*-4 strategic 3 OK typein Y/-4*-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -52 = Y/-4*-4 strategic 1 OK mt Y/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -4Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:33:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -4Y/-4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -52 = -4Y/-4 strategic 1 OK rf -4Y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:15.0 HINT HINT ES_02 ES_02-9 EG44 1 = -2/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:16.0 HINT HINT ES_02 ES_02-9 EG44 1 = -2/y strategic 2 NEXT_HINT -2/y is -2 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:20.0 HINT HINT ES_02 ES_02-9 EG44 1 = -2/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1 = -2/y strategic 4 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:34.0 HINT HINT ES_02 ES_02-9 EG44 1y = -2/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:35.0 HINT HINT ES_02 ES_02-9 EG44 1y = -2/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y = -2/y*y strategic 3 OK mt -2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:44.0 HINT HINT ES_02 ES_02-9 EG44 1y = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:45.0 HINT HINT ES_02 ES_02-9 EG44 1y = -2 strategic 2 NEXT_HINT 1y is 1 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y = -2 strategic 3 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:34:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y/1 = -2/1 strategic 1 ERROR mt 1y/1 = -2/1 strategic default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:35:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y/1 = -2/1 strategic 2 OK rf -2/1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:35:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y/1 = -2 strategic 1 OK rf 1y/1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:35:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/y = 5 strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:36:10.0 HINT HINT ES_02 ES_02-9 EG44 6/y*y = 5y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:36:11.0 HINT HINT ES_02 ES_02-9 EG44 6/y*y = 5y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:36:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/y*y = 5y strategic 3 OK mt 6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:36:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = 5y strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:36:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/5 = 5y/5 strategic 1 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:36:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = -2 strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = -2 strategic 2 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:33.0 HINT HINT ES_02 ES_02-9 EG44 4/x*x = -2x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:33.0 HINT HINT ES_02 ES_02-9 EG44 4/x*x = -2x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x*x = -2x strategic 3 OK mt 4/x*x default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:40.0 HINT HINT ES_02 ES_02-9 EG44 4 = -2x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:41.0 HINT HINT ES_02 ES_02-9 EG44 4 = -2x strategic 2 NEXT_HINT -2x is -2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -2x strategic 3 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:37:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/-2 = -2x/-2 strategic 1 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = 6/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:14.0 HINT HINT ES_02 ES_02-9 EG44 -7y = 6/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:14.0 HINT HINT ES_02 ES_02-9 EG44 -7y = 6/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y = 6/y*y strategic 3 OK mt 6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y = 6 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y/-7 = 6/-7 strategic 1 OK rf 6/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y/-7 = -6/7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:38:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 2/x strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2/x*x strategic 1 OK typein 7X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2/x*x strategic 2 ERROR typein 3/X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2/x*x strategic 3 OK typein 2/X*X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2/x*x strategic 4 OK mt 2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 2X/X default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2X/X strategic 1 BUG divide 7 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:43.0 HINT HINT ES_02 ES_02-10 EG44 7x = 2X/X strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:44.0 HINT HINT ES_02 ES_02-10 EG44 7x = 2X/X strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2X/X strategic 4 OK rf 2X/X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG X X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:39:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG -X -X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:00.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 2X 2X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG -3X -3X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG -2X -2X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 BUG 3X 3X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG -2X -2X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 BUG -X -X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:40:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 BUG -X -X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:30.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 2 INITIAL_HINT X The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:48.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 11 INITIAL_HINT -X Above is the simplified form of the expression 2X/X. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:41:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK 2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 2 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = 2/7 strategic 1 OK typein 7X/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = 2/7 strategic 2 OK typein 2/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = 2/7 strategic 3 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y = -9 strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:42:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -9y strategic 1 OK typein -9/Y*Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:43:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -9y strategic 2 OK typein -9Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:43:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -9y strategic 3 OK mt -9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:43:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -9y strategic 4 OK mt -9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:46:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = 7/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 7/y*y strategic 1 OK typein -2Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 7/y*y strategic 2 OK typein 7/Y*Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 7/y*y strategic 3 OK mt 7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 7Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 7Y/Y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 7Y/Y strategic 1 BUG divide -2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:38.0 HINT HINT ES_02 ES_02-10 EG44 -2y = 7Y/Y strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:39.0 HINT HINT ES_02 ES_02-10 EG44 -2y = 7Y/Y strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 7Y/Y strategic 4 OK rf 7Y/Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 2 2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG -Y -Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:47:55.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 OK Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 ERROR Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 ERROR Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:40.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT -Y Above is the simplified form of the expression 7Y/Y. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK 7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:48:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 7 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 7/-2 strategic 1 OK typein -2Y/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 7/-2 strategic 2 OK typein 7/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 7/-2 strategic 3 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = -7/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = -7/y*y strategic 1 OK typein -7Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = -7/y*y strategic 2 OK typein -7/Y*Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = -7/y*y strategic 3 OK mt -7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -7Y/Y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = -7Y/Y strategic 1 OK rf -7Y/Y default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:49:59.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Y Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 7 7
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG -Y -Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = -7 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = -7/-7 strategic 1 BUG typein -7Y You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = -7/-7 strategic 2 OK typein -7Y/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = -7/-7 strategic 3 OK typein -7/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = -7/-7 strategic 4 OK rf -7/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 7/7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 7/7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 34f4oB5Cod session13 2005-11-02 08:50:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:48:16.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:48:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:48:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 3 NEXT_HINT Try typing in the phrase "time spent taking lessons". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:48:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 4 OK time spent taking scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:48:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 BUG dollars dollars
You entered DOLLARS in the wrong column. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:09.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 3 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 2 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:49:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:50:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:50:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:50:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 92 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:51:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 ERROR $92.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:51:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 3 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:51:42.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:51:43.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT How many hours does it take to get total cost of scuba lessons to be 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:51:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT If you were given time spent taking lessons (the input) and you wanted to find total cost of scuba lessons (the output), you would perform one or more operations on time spent taking lessons. Since you are given total cost of scuba lessons, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:51:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:52:34.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 INITIAL_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:52:35.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT If you were given time spent taking lessons (the input) and you wanted to find total cost of scuba lessons (the output), you would perform one or more operations on time spent taking lessons. Since you are given total cost of scuba lessons, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:52:36.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 NEXT_HINT How many hours does it take to get total cost of scuba lessons to be 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:52:37.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 NEXT_HINT Is the number given in this question an input or an output value? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:52:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 NEXT_HINT How many hours does it take to get total cost of scuba lessons to be 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:52:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 NEXT_HINT If you were given time spent taking lessons (the input) and you wanted to find total cost of scuba lessons (the output), you would perform one or more operations on time spent taking lessons. Since you are given total cost of scuba lessons, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:53:50.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 INITIAL_HINT Enter an expression to calculate total cost of scuba lessons using time spent taking lessons. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:53:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 NEXT_HINT First consider the initial value of total cost of scuba lessons. Next consider how total cost of scuba lessons will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:53:55.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of total cost of scuba lessons plus the change in total cost of scuba lessons for each hour times time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:53:59.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 4 NEXT_HINT Write an expression that means the same thing as 90.75 dollars plus 25.5 times time spent taking lessons. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:54:02.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 5 NEXT_HINT Enter 90.75 plus 25.5S HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:54:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 6 ERROR 90.75+25.58 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:54:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 7 OK 90.75+25.5s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:54:41.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 INITIAL_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:54:50.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 12 NEXT_HINT You know that the expression 25.5S + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5S + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:54:58.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 13 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5S + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:55:05.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 14 NEXT_HINT Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:56:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 15 ERROR 116.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:56:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 16 INITIAL_HINT 116.25 Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session22 2005-10-21 08:57:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 17 ERROR 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 BUG 192.75 192.75
You entered 192.75 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:07.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 INITIAL_HINT 192.75 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:09.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT You know that the expression 25.5S + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5S + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:12.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5S + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:16.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 NEXT_HINT Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:33.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:34.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:23:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:24:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 ERROR 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:24:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 ERROR 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:24:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 INITIAL_HINT 80 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:24:25.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session23 2005-10-21 12:24:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 8 NEXT_HINT Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:26:15.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT 192.75 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:26:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT You know that the expression 25.5S + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5S + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:26:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5S + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:26:25.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 ERROR 25.5S+192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 ERROR 25.5S+192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 INITIAL_HINT 25.5S+192.75 Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 ERROR 70 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:31.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 INITIAL_HINT 80 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:33.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:27:38.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:28:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 ERROR 2385.75/6 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:28:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:28:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 ERROR 60 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:28:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 ERROR 70 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:29:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 ERROR 80 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:29:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 12 INITIAL_HINT 80 Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:29:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 13 ERROR 40 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:29:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 14 ERROR 60 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:29:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 15 ERROR s45' default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session24 2005-10-25 11:29:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 16 INITIAL_HINT s45' Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:17:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:18:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 49 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:18:59.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 INITIAL_HINT 49 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:19:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 ERROR 49 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:19:04.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 INITIAL_HINT 49 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:19:07.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT You know that the expression 25.5S + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5S + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:19:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5S + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:19:15.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 NEXT_HINT Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:22:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 90.75+25.5s=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:22:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 90.75+25.5S=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:23:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 1 ERROR mt 90.75+25.5S = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:23:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 2 ERROR clt 90.75+25.5S = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:23:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 3 ERROR squareroot 90.75+25.5S = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:23:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 4 ERROR rf 90.75+25.5S = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:24:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 5 ERROR clt 90.75+25.5S = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:24:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 6 ERROR rf 90.75+25.5S = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:24:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 7 ERROR add s default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:25:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 OK 90.75+25.5S=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:25:14.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 INITIAL_HINT 49 Solve the equation 25.5S + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:25:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 8 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:25:24.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 9 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:27:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5S = 192.75 strategic 10 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:28:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5S = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:28:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:28:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:28:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 3 OK carpet default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 3 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the amount of carpet. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R2C1 2 NEXT_HINT What would you say if you were measuring the amount of carpet? You would count one square yard, two square yards, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R2C1 3 NEXT_HINT Enter a unit for the amount of carpet by clicking on the unit box and typing in a word or phrase. How would you measure or count the amount of carpet? One square yard, two square yards, three... HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 4 BUG square square
SQUARE is a unit of area, but it is not the most appropriate one for this problem. What other units measure area? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:29:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 5 BUG yard yard
YARD is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:30:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 6 OK sqaure yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:30:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:30:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R4C2 1 INITIAL_HINT You are given a value for the amount of carpet. Find the cost of the carpet. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:30:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R4C2 2 NEXT_HINT You are given a value for the amount of carpet. Find the cost of the carpet by calculating 13.95 times the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:30:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK 13.95*c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 ERROR 301/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 2 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 3 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 4 INITIAL_HINT 30 Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 5 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:31:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 6 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:32:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 OK 279.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:32:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 OK 558 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:32:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 7 INITIAL_HINT 30 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:36:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 8 OK 30.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:36:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 1 INITIAL_HINT 279 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 279 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:36:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 2 NEXT_HINT You know that the expression 13.95C represents the cost of the carpet. What value of the amount of carpet will make the general expression 13.95C output the given value of 279 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:36:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 3 NEXT_HINT Since the general expression for the cost of the carpet is 13.95C and since the cost of the carpet in this question is 279, set the two of them equal to find the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:36:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 4 NEXT_HINT Solve the equation 13.95C = 279. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:37:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 5 NEXT_HINT You know that the expression 13.95C represents the cost of the carpet. What value of the amount of carpet will make the general expression 13.95C output the given value of 279 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:37:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 6 INITIAL_HINT You know that the expression 13.95C represents the cost of the carpet. What value of the amount of carpet will make the general expression 13.95C output the given value of 279 dollars? HINT 2 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:37:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 7 NEXT_HINT Since the general expression for the cost of the carpet is 13.95C and since the cost of the carpet in this question is 279, set the two of them equal to find the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:37:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R6C1 8 NEXT_HINT Solve the equation 13.95C = 279. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:38:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 1 OK 13.95c=279 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:38:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 2 OK 13.95C=279 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 279 strategic 1 BUG subtract 13.95 In 13.95C, C is multiplied by 13.95. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 279 strategic 2 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 9 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 1 INITIAL_HINT 558 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 558 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 2 NEXT_HINT You know that the expression 13.95C represents the cost of the carpet. What value of the amount of carpet will make the general expression 13.95C output the given value of 558 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 3 NEXT_HINT Since the general expression for the cost of the carpet is 13.95C and since the cost of the carpet in this question is 558, set the two of them equal to find the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:39:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 4 NEXT_HINT Solve the equation 13.95C = 558. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:40:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 5 INITIAL_HINT Solve the equation 13.95C = 558. HINT 4 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:41:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 6 INITIAL_HINT Solve the equation 13.95C = 558. HINT 4 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:41:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C1 7 INITIAL_HINT Solve the equation 13.95C = 558. HINT 4 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:41:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 3 OK 13.95C=558 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:42:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 558 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:42:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 8 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:42:43.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:42:44.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:05.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C1 3 INITIAL_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:06.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C1 4 NEXT_HINT Try typing in the phrase "the amount spent on long distance". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 5 OK amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:32.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:34.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:38.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C2 3 NEXT_HINT Try typing in the phrase "total number of travel points". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 4 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:51.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the amount spent on long distance. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R2C1 2 NEXT_HINT What would you say if you were measuring the amount spent on long distance? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 3 OK dollARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:44:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 BUG 50.00 50.00
You entered 50.00 in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 ERROR 50.00 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:44:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:44:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 2 OK T default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:44:54.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 2 INITIAL_HINT 50.00 Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:44:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 3 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:00.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 5 NEXT_HINT Write an expression that means the same thing as 5000 plus 5 times the amount spent on long distance. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:08.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 6 NEXT_HINT Enter 5T + 5000 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 7 OK 5t+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 3 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 4 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:49.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 5 INITIAL_HINT 27.50 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 6 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:45:54.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 7 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:46:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 8 OK 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:46:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 1 INITIAL_HINT 46000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 46000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:46:06.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 2 NEXT_HINT You know that the expression 5T + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5T + 5000 output the given value of 46000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:46:10.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 3 NEXT_HINT Since the general expression for total number of travel points is 5T + 5000 and since total number of travel points in this question is 46000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:46:13.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 4 NEXT_HINT Solve the equation 5T + 5000 = 46000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 1 OK 5T+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:47:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 46000 strategic 1 ERROR multiply 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:47:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 46000 strategic 2 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:47:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 46000 strategic 3 BUG multiply 5 To remove the coefficient of 5T, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:47:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 46000 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:47:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B T+1000 = 9200 strategic 1 ERROR clt T+1000 = 9200 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:47:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 5 BUG 9,200 9,200
Subtract the initial value, 5000, from the amount spent on long distance first before you divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:48:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B T+1000 = 9200 strategic 2 ERROR subtract 5000 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:48:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 46000 strategic 5 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:48:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 6 BUG 41000 41000
Subtracting 5000 from 46000 is OK, but then you need to divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:48:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 7 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:08.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 1 INITIAL_HINT 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:10.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 2 NEXT_HINT You know that the expression 5T + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5T + 5000 output the given value of 27000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:15.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 3 NEXT_HINT Since the general expression for total number of travel points is 5T + 5000 and since total number of travel points in this question is 27000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:18.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 4 NEXT_HINT Solve the equation 5T + 5000 = 27000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 2 OK 5T+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 27000 strategic 1 ERROR multiply 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 27000 strategic 2 BUG divide 5000 You want to isolate 5T by removing 5000 from the left side. 5000 is added to 5T. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 27000 strategic 3 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:50:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T+5000 = 27000 strategic 4 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:50:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 5 BUG 22000 22000
Subtracting 5000 from 27000 is OK, but then you need to divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:50:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5T = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:50:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 6 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 3 NEXT_HINT Try typing in the phrase "the area to be constructed". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 4 BUG the area to be the area to be
Try the area to be constructed. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 5 INITIAL_HINT the area to be Try typing in the phrase "the area to be constructed". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 6 OK the area to be constructed default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:51:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 3 BUG total cost total cost
Try the cost of construction. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 4 OK the cost of constuction default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of construction. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C2 2 NEXT_HINT What would you say if you were measuring the cost of construction? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the area to be constructed. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C1 2 NEXT_HINT What would you say if you were measuring the area to be constructed? You would count one square foot, two square feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C1 3 NEXT_HINT Enter a unit for the area to be constructed by clicking on the unit box and typing in a word or phrase. How would you measure or count the area to be constructed? One square foot, two square feet, three... HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 4 OK sqare foot default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C2 1 INITIAL_HINT Write an expression that means the same as the cost of construction per square foot times the area to be constructed. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C2 2 NEXT_HINT Write an expression that means the same thing as $43.50 times the area to be constructed. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:52:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C2 3 NEXT_HINT If the area to be constructed is S, the area to be constructed times $43.50 is 43.5*S HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:53:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 4 OK 43.50s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:53:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 1 OK 1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 1 ERROR 95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:53:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 2 OK 160+95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:53:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 1 INITIAL_HINT 239250 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 239250 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:53:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 2 INITIAL_HINT 239250 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 239250 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 3 NEXT_HINT You know that the expression 43.5S represents the cost of construction. What value of the area to be constructed will make the general expression 43.5S output the given value of 239250 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 4 NEXT_HINT Since the general expression for the cost of construction is 43.5S and since the cost of construction in this question is 239250, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 5 NEXT_HINT Solve the equation 43.5S = 239250. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 1 OK 43.5s=239250 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 2 OK 43.5S=239250 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5S = 239250 strategic 1 BUG subtract 43.5 In 43.5S, S is multiplied by 43.5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:54:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5S = 239250 strategic 2 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:55:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 6 OK 5500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:55:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 1 INITIAL_HINT 12049.5 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 12049.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:55:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 2 NEXT_HINT You know that the expression 43.5S represents the cost of construction. What value of the area to be constructed will make the general expression 43.5S output the given value of 12049.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:55:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 3 NEXT_HINT Since the general expression for the cost of construction is 43.5S and since the cost of construction in this question is 12049.5, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:55:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 4 NEXT_HINT Solve the equation 43.5S = 12049.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:55:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 3 OK 43.5S=12049.5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:56:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5S = 12049.5 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session25 2005-10-26 08:56:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 5 OK 277 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:20:15.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:20:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:20:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C1 3 NEXT_HINT Try typing in the phrase "the number of students in algebra". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:20:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 4 OK total number of students default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 3 NEXT_HINT Try typing in the phrase "the number of students earning an A or B in Algebra". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 4 OK students receiving A or B default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 INITIAL_HINT Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 2 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:21:58.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 3 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:02.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So percent is the same as 0.12 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:05.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 5 NEXT_HINT Enter 0.12S. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 6 OK 0.12s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 ERROR 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 2 OK 175 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:22:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 BUG 12 12
You entered 12 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:23:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C2 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:23:15.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 2 INITIAL_HINT 12 12 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 12 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:23:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 3 NEXT_HINT You know that the expression 0.12S represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.12S output the given value of 12 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:23:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 4 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.12S and since the number of students earning an A or B in Algebra in this question is 12, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:23:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 5 NEXT_HINT Solve the equation 0.12S = 12. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:24:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 1 OK 0.12S=12 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:24:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 1 BUG multiply 12 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:24:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 2 BUG multiply 0.12 To remove the coefficient of 0.12S, you need to divide. Erase your last step and then divide both sides by 0.12. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:24:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 3 OK divide 0.12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:25:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 6 OK 100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:25:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 2 BUG 0.75S=75 0.75S=75
Please check to make sure that 0.75S=75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:25:44.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 INITIAL_HINT 75 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 75 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:25:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 2 NEXT_HINT You know that the expression 0.12S represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.12S output the given value of 75 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:25:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 3 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.12S and since the number of students earning an A or B in Algebra in this question is 75, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:25:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 4 NEXT_HINT Solve the equation 0.12S = 75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:26:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 3 OK 0.12S=75 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:26:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 75 strategic 1 OK divide 0.12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:26:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 5 OK 625 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:26:51.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:26:52.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:26:55.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R1C1 3 NEXT_HINT Try typing in the phrase "people". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C1 4 OK number of people default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:07.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:08.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C2 3 OK the cost of cake default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:24.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of the cake. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R2C2 2 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C1 1 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:43.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R3C2 1 INITIAL_HINT Write an expression that means the same as the cost of the cake per people times people. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:45.0 HINT HINT CTA1_04 CTA1_04-2 EMX03 R3C2 2 NEXT_HINT Write an expression that means the same thing as $1.35 times people. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:27:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C2 3 OK 1.35*p default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:28:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R4C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:28:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:28:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C1 1 BUG 54.00 54.00
You entered 54 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:28:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C2 1 OK 54.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:28:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C2 1 OK 70.20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:29:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 1 OK 1.35P=54 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:29:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 1.35P = 54 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:29:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C1 2 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 2 OK 1.35P=70.2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 1.35P = 70.2 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C1 1 OK 52 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:34.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R1C1 3 OK gross default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:46.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:30:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R1C2 3 OK take home default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R2C1 1 INITIAL_HINT You need to enter a unit for measuring the gross pay. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R2C1 2 NEXT_HINT What would you say if you were measuring the gross pay? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C1 1 OK g default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C2 1 ERROR 62g default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C2 2 ERROR 62g default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:32.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R3C2 3 INITIAL_HINT 62g Enter an expression to calculate the take-home pay using the gross pay. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R3C2 4 NEXT_HINT What part of the gross pay is the take-home pay? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R3C2 5 NEXT_HINT Write an expression that means the same thing as 62 percent of the gross pay. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R3C2 6 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 62 percent is the same as 0.62 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:43.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05C R3C2 7 NEXT_HINT Enter 0.62G. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C2 8 OK 0.62g default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:31:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R4C1 1 OK 6000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:32:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R5C1 1 OK 45000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:32:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R6C2 1 OK 3100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:32:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R7C2 1 OK 1534.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:32:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 1 OK 0.62G=3100 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:33:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C 0.62G = 3100 strategic 1 OK divide 0.62 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:33:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R6C1 1 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:33:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 2 OK 0.62G=1534.5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C 0.62G = 1534.5 strategic 1 OK divide 0.62 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R7C1 1 OK 2475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C1 3 NEXT_HINT Try typing in the phrase "the time". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C1 4 OK the time default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C1 1 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C1 2 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:34:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C2 3 OK the total distance default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C1 1 OK l default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 1 INITIAL_HINT Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 2 NEXT_HINT First consider the initial value of the total distance it has flown. Next consider how the total distance it has flown will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance it has flown plus the change in the total distance it has flown for each hour times the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 4 NEXT_HINT Write an expression that means the same thing as 250 plus 1200 times the time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 5 NEXT_HINT Enter 1200L + 250 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:35:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 6 OK 1200L+250 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:36:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 1 ERROR 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 2 ERROR 2 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:37:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R4C1 3 INITIAL_HINT 2 1/2 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:37:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R4C1 4 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:37:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R4C1 5 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:37:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 6 ERROR 2 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 1 BUG 15 15
15 is the the time in minutes, but we want to use hours. How many hours are in 15 minutes? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 2 INITIAL_HINT 15 Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 3 NEXT_HINT You know that the time is 15 minutes. Convert 15 minutes to hours. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 4 NEXT_HINT There are 60 minutes in a hour. What is 15 minutes in hours? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 5 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 15 minutes is 0.25 hours. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 6 OK 0.25 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:38:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R4C1 7 INITIAL_HINT 2 1/2 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 1 INITIAL_HINT 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 2 NEXT_HINT You know that the expression 1200L + 250 represents the total distance it has flown. What value of the time will make the general expression 1200L + 250 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1200L + 250 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 4 NEXT_HINT Solve the equation 1200L + 250 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C2 1 INITIAL_HINT Read the problem statement. What information is given in question 3 about the total distance it has flown? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C2 2 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C2 3 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 4 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 5 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:39:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 5 ERROR 3500 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:40:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C2 6 INITIAL_HINT 3500 Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:40:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C2 7 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:41:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R4C1 8 INITIAL_HINT 2 1/2 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:42:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 9 ERROR 112 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:42:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 10 ERROR 1.12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:43:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R4C1 11 INITIAL_HINT 1.12 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:44:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 12 ERROR bmnyu568970bnfgiurtyhjjgkg8t689ujhgfijhgkldjgifkg default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:45:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 13 ERROR 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:46:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 14 OK 2.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:46:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 6 INITIAL_HINT 3500 Solve the equation 1200L + 250 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 1 OK 1200L+250=1750 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 1 ERROR subtract 1200 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 2 BUG multiply 1200 To remove the coefficient of 1200L, you need to divide. Erase your last step and then divide both sides by 1200. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 3 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 1 ERROR clt L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 2 ERROR distribute L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:47:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 3 ERROR rf L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:48:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 4 ERROR rds L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:48:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 5 ERROR squareroot L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:48:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 6 ERROR mt L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 7 ERROR aproot left default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:48:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 8 ERROR divide 24 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:48:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 9 ERROR multiply 24 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:49:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 10 ERROR divide 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:50:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 1 INITIAL_HINT 3500 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:50:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 2 NEXT_HINT You know that the expression 1200L + 250 represents the total distance it has flown. What value of the time will make the general expression 1200L + 250 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:51:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1200L + 250 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:51:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 4 NEXT_HINT Solve the equation 1200L + 250 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:51:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 1 OK 1200L+250=1750 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 1 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 1 ERROR multiply 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:54:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 1 OK 3500/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:54:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 2 OK 1200L+250=1750 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:54:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 2 BUG multiply 1200 To remove the coefficient of 1200L, you need to divide. Erase your last step and then divide both sides by 1200. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:55:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 3 BUG divide 1750 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:55:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 4 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:55:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 5 INITIAL_HINT 3500 Solve the equation 1200L + 250 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session26 2005-10-28 08:55:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 2 ERROR multiply 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:23:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 1 INITIAL_HINT 3500 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:23:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 2 NEXT_HINT You know that the expression 1200L + 250 represents the total distance it has flown. What value of the time will make the general expression 1200L + 250 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:23:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1200L + 250 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:23:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 4 NEXT_HINT Solve the equation 1200L + 250 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:24:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 1 OK 1200L+250=1750 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:24:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 1 BUG divide 1750 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:24:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 2 BUG multiply 1200 To remove the coefficient of 1200L, you need to divide. Erase your last step and then divide both sides by 1200. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:24:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 3 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:24:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 1 ERROR clt L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:24:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 2 ERROR distribute L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:25:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 3 ERROR rds L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:25:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 4 ERROR rf L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:25:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 5 ERROR mt L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:25:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 6 ERROR aproot right default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:25:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 7 ERROR squareroot L+5/24 = 35/24 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:25:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 8 ERROR divide 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 9 ERROR multiply 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 10 ERROR divide 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L/10+1/48 = 7/48 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L/10+1/48 = 7/48 strategic 2 NEXT_HINT 1/48 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1/48 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L/10+1/48 = 7/48 strategic 3 NEXT_HINT You can subtract 1/48 from both sides of the equation to eliminate the constant value of 1/48 (1/48 - 1/48 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 11 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:26:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 12 NEXT_HINT 5/24 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5/24 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 13 ERROR subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L-19/24 = 11/24 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L-19/24 = 11/24 strategic 2 NEXT_HINT -19/24 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -19/24 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L-19/24 = 11/24 strategic 3 NEXT_HINT You can add 19/24 to both sides of the equation to eliminate the constant value of -19/24 (-19/24 + 19/24 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 14 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 15 NEXT_HINT 5/24 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5/24 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 16 NEXT_HINT You can subtract 5/24 from both sides of the equation to eliminate the constant value of 5/24 (5/24 - 5/24 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:27:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 17 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:28:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L+5/24 = 35/24 strategic 18 ERROR subtract 5.24 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 1 INITIAL_HINT 3500 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 2 NEXT_HINT You know that the expression 1200L + 250 represents the total distance it has flown. What value of the time will make the general expression 1200L + 250 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1200L + 250 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 4 NEXT_HINT Solve the equation 1200L + 250 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 1 OK 1200L+250=1750 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 2 NEXT_HINT 250 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 250 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 3 NEXT_HINT You can subtract 250 from both sides of the equation to eliminate the constant value of 250 (250 - 250 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:36:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 1750 strategic 4 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:37:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 5 BUG 1500 1500
Subtracting 250 from 1750 is OK, but then you need to divide by 1200. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L = 1500 strategic 1 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:37:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 6 ERROR 5^4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:37:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 7 BUG 1500 1500
Subtracting 250 from 1750 is OK, but then you need to divide by 1200. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:38:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A L = 5/4 strategic 1 BUG rf L = 5/4 strategic You already solved the equation. L is 5/4. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 8 OK 5/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 1 INITIAL_HINT 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 2 NEXT_HINT You know that the expression 1200L + 250 represents the total distance it has flown. What value of the time will make the general expression 1200L + 250 output the given value of 3500 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1200L + 250 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 4 NEXT_HINT Solve the equation 1200L + 250 = 3500. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 2 OK 1200L+250=3500 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 3500 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:40:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 3500 strategic 2 NEXT_HINT 250 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 250 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 3500 strategic 3 NEXT_HINT You can subtract 250 from both sides of the equation to eliminate the constant value of 250 (250 - 250 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L+250 = 3500 strategic 4 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L = 3250 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L = 3250 strategic 2 NEXT_HINT 1200L is 1200 times L. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A 1200L = 3250 strategic 3 NEXT_HINT Divide both sides by 1200. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200L = 3250 strategic 4 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 5 ERROR 65/25 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:41:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 6 ERROR 65/ default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 7 OK 65/24 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C1 2 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C1 3 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 4 OK the current pay default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:37.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the current salary. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:38.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C1 2 NEXT_HINT What would you say if you were measuring the current salary? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:42:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C2 3 OK employee's raise default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the raise. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:10.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C2 2 NEXT_HINT What would you say if you were measuring the raise? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C1 1 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 1 INITIAL_HINT Enter an expression to calculate the raise using the current salary. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 2 NEXT_HINT What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 3 NEXT_HINT Write an expression that means the same thing as 5 percent of the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:30.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 5 percent is the same as 0.05 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:34.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 5 NEXT_HINT Enter 0.05P. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 6 OK 0.05P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the current salary? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R4C1 2 OK 17500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 1 ERROR 4300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:20.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R5C1 2 INITIAL_HINT 4300 Read the problem statement. What information is given in question 2 about the current salary? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R5C1 3 NEXT_HINT Important information about the current salary is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R5C1 4 NEXT_HINT Type the current salary, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 5 OK 43000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:43.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 1 INITIAL_HINT 5000 dollars is the given output value in this question, because it depends on the current salary. What value of the current salary does it take to output 5000 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 2 NEXT_HINT You know that the expression 0.05P represents the raise. What value of the current salary will make the general expression 0.05P output the given value of 5000 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 3 NEXT_HINT Since the general expression for the raise is 0.05P and since the raise in this question is 5000, set the two of them equal to find the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:44:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 4 NEXT_HINT Solve the equation 0.05P = 5000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 1 OK 0.05P=5000 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 2 NEXT_HINT 0.05P is 0.05 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 3 BUG multiply 5000 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:35.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 5 NEXT_HINT 0.05P is 0.05 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 6 NEXT_HINT Divide both sides by 0.05. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 5000 strategic 7 OK divide 0.05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:45:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A P = 100000 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 5 OK 100000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 1 INITIAL_HINT 3125 dollars is the given output value in this question, because it depends on the current salary. What value of the current salary does it take to output 3125 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 2 NEXT_HINT You know that the expression 0.05P represents the raise. What value of the current salary will make the general expression 0.05P output the given value of 3125 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 3 NEXT_HINT Since the general expression for the raise is 0.05P and since the raise in this question is 3125, set the two of them equal to find the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 4 NEXT_HINT Solve the equation 0.05P = 3125. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 2 OK 0.05P=3125 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 3125 strategic 1 BUG subtract 0.05 In 0.05P, P is multiplied by 0.05. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05P = 3125 strategic 2 OK divide 0.05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C1 5 OK 62500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:47:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:47:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:47:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C1 3 NEXT_HINT Try typing in the phrase "the time worked". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:47:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C1 4 OK the timed work default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:48:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C1 1 OK F default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:48:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:48:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C2 3 BUG total total
Total what? BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C2 4 INITIAL_HINT total Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R1C2 5 NEXT_HINT Try typing in the phrase "the money earned". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C2 6 OK total pay default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R3C2 1 INITIAL_HINT Write an expression that means the same as the money earned per hour times the time worked. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R3C2 2 NEXT_HINT Write an expression that means the same thing as $11.25 times the time worked. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R3C2 3 NEXT_HINT If the time worked is F, the time worked times $11.25 is 11.25*F HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C2 4 OK 11.25F default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R4C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:49:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 1 ERROR 42 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 2 ERROR 42.1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 3 ERROR 42.1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 4 ERROR 42.102 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R5C1 5 INITIAL_HINT 42.102 Read the problem statement. What information is given in question 2 about the time worked? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R5C1 6 NEXT_HINT Important information about the time worked is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R5C1 7 NEXT_HINT Type the time worked, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:50:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 8 ERROR 42 1.2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:51:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C2 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:51:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C2 1 OK 781.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 9 ERROR 42 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:53:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 10 ERROR 42 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:53:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 11 ERROR 42 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:53:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R5C1 12 INITIAL_HINT 42 1/2 Type the time worked, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session27 2005-11-01 11:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 13 ERROR 421/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:24:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 1 OK 42.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:24:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R6C1 1 INITIAL_HINT 1000 dollars is the given output value in this question, because it depends on the time worked. What value of the time worked does it take to output 1000 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:24:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R6C1 2 NEXT_HINT You know that the expression 11.25F represents the money earned. What value of the time worked will make the general expression 11.25F output the given value of 1000 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:24:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R6C1 3 NEXT_HINT Since the general expression for the money earned is 11.25F and since the money earned in this question is 1000, set the two of them equal to find the time worked. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:24:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C R6C1 4 NEXT_HINT Solve the equation 11.25F = 1000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:25:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 1 OK 11.25F=1000 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:25:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C 11.25F = 1000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:25:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02C 11.25F = 1000 strategic 2 NEXT_HINT 11.25F is 11.25 times F. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:25:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25F = 1000 strategic 3 BUG divide 1000 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:25:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25F = 1000 strategic 4 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:26:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C1 5 OK 88.8889 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:26:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 2 OK 11.25F=781.25 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25F = 781.25 strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C1 1 OK 69.4444 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C1 2 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C1 3 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C1 4 OK bill default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:37.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the restaurant bill. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:38.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R2C1 2 NEXT_HINT What would you say if you were measuring the restaurant bill? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:27:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 3 OK tip default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:01.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C1 1 INITIAL_HINT Define a variable for the restaurant bill. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:03.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the restaurant bill. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C1 3 OK B default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 1 INITIAL_HINT Enter an expression to calculate the tip using the restaurant bill. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 2 NEXT_HINT What part of the restaurant bill is the tip? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:19.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 3 NEXT_HINT Write an expression that means the same thing as 15 percent of the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 15 percent is the same as 0.15 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 5 NEXT_HINT Enter 0.15B. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 6 OK 0.15B default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R4C1 1 OK 55.10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R5C1 1 OK 29.65 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:58.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 1 INITIAL_HINT 5.85 dollars is the given output value in this question, because it depends on the restaurant bill. What value of the restaurant bill does it take to output 5.85 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:28:59.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 2 NEXT_HINT You know that the expression 0.15B represents the tip. What value of the restaurant bill will make the general expression 0.15B output the given value of 5.85 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:29:02.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 3 NEXT_HINT Since the general expression for the tip is 0.15B and since the tip in this question is 5.85, set the two of them equal to find the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:29:05.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 4 NEXT_HINT Solve the equation 0.15B = 5.85. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:29:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B ValidEquations 1 OK 0.15B=5.85 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:30:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B 0.15B = 5.85 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:30:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R6C1 5 OK 39 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:30:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B ValidEquations 2 OK 0.15B=6.75 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:30:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B 0.15B = 6.75 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R7C1 1 OK 45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R1C1 3 NEXT_HINT Try typing in the phrase "the time". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R1C1 4 OK the time default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R1C2 3 OK total distance default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 1 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 2 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R2C1 3 INITIAL_HINT minutes You need to enter a unit for measuring the time. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R2C1 4 NEXT_HINT What would you say if you were measuring the time? You would count one second, two seconds, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 5 OK seconds default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R2C2 1 INITIAL_HINT You need to enter a unit for measuring the total distance the Crawler has traveled. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:31:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R2C2 2 NEXT_HINT What would you say if you were measuring the total distance the Crawler has traveled? You would count one foot, two feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C2 3 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C1 1 OK f default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 1 INITIAL_HINT Enter an expression to calculate the total distance the Crawler has traveled using the time. HINT 1 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 2 NEXT_HINT First consider the initial value of the total distance the Crawler has traveled. Next consider how the total distance the Crawler has traveled will change for each second. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance the Crawler has traveled plus the change in the total distance the Crawler has traveled for each second times the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 4 NEXT_HINT Write an expression that means the same thing as 250 plus 2.8 times the time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 5 NEXT_HINT Enter 2.8F + 250 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 6 OK 2.8F+250 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R4C1 1 OK 45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R5C1 1 BUG 10 10
10 is the the time in minutes, but we want to use seconds. How many seconds are in ten more minutes? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:33:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R5C1 2 ERROR 60 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:33:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R5C1 3 INITIAL_HINT 60 Enter the value for question 2 in seconds. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:33:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R5C1 4 NEXT_HINT You know that the time is ten more minutes. Convert ten more minutes to seconds. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:33:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R5C1 5 NEXT_HINT There are 60 seconds in a minute. What is ten more minutes in seconds? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:33:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R5C1 6 NEXT_HINT To convert from minutes to seconds, multiply the number of minutes by 60. Ten more minutes is 600 seconds. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:33:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R5C1 7 OK 10*60 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C ValidEquations 1 OK 2.8F+250=4800 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C 2.8F+250 = 4800 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C 2.8F+250 = 4800 strategic 2 NEXT_HINT 250 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 250 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C 2.8F+250 = 4800 strategic 3 NEXT_HINT You can subtract 250 from both sides of the equation to eliminate the constant value of 250 (250 - 250 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C 2.8F+250 = 4800 strategic 4 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 1 BUG 4550 4550
Subtracting 250 from 4800 is OK, but then you need to divide by 2.8. BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C 2.8F = 4550 strategic 1 OK divide 2.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 2 OK 1625 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:36:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C ValidEquations 2 OK 2.8F+250=2504 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:36:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C 2.8F+250 = 2504 strategic 1 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:36:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C 2.8F = 2254 strategic 1 OK divide 2.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:36:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R7C1 1 OK 805 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:07.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:09.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 3 OK snow cones default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:18.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:20.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 3 OK the profit default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:42.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the number of snow cones we sell? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:43.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R4C1 2 NEXT_HINT Important information about the number of snow cones we sell is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:48.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 1 INITIAL_HINT Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:50.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 2 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:53.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the profit plus the change in the profit for each snow cone times the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:37:57.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 4 NEXT_HINT Write an expression that means the same thing as -50.00 dollars plus 0.5 times the number of snow cones we sell. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:38:00.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 5 NEXT_HINT Enter -50.00 plus 0.5S HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:38:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 6 OK -50.00+0.5S default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:38:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 3 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:38:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK -50+0.5S=300 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 300 strategic 1 ERROR subtract 0.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:13.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 300 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:14.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 300 strategic 3 NEXT_HINT -50 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -50 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 300 strategic 4 ERROR subtract -59 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 300 strategic 5 OK subtract -50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 BUG 350 350
Subtracting -50 from 300 is OK, but then you need to divide by 0.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:39:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S = 350 strategic 1 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 2 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK -50+0.5S=153.5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 153.5 strategic 1 OK subtract -50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S = 203.5 strategic 1 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:53.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:54.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:40:58.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C1 3 NEXT_HINT Try typing in the phrase "the length of the phone call". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 4 OK the length of the mobile telephone call default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:27.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:28.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:32.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C2 3 NEXT_HINT Try typing in the phrase "the cost of a mobile telephone call". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 4 OK call cost default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:40.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the length of the phone call. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:41.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R2C1 2 NEXT_HINT What would you say if you were measuring the length of the phone call? You would count one minute, two minutes, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 3 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:48.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of a mobile telephone call. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:50.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R2C2 2 NEXT_HINT What would you say if you were measuring the cost of a mobile telephone call? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:41:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK P default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:08.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 1 INITIAL_HINT Enter an expression to calculate the cost of a mobile telephone call using the length of the phone call. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:08.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 2 NEXT_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:12.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the cost of a mobile telephone call plus the change in the cost of a mobile telephone call for each minute times the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:15.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 4 NEXT_HINT Write an expression that means the same thing as 3.50 dollars plus 0.75 times the length of the phone call. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:19.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 5 NEXT_HINT Enter 3.50 plus 0.75P HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 6 OK 3.50+0.75P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:42:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:43:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 1 OK 3.5+0.75P=17 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:43:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 3.5+0.75P = 17 strategic 1 OK subtract 3.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75P = 13.5 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 2 OK 3.5+0.75P=32.75 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 3.5+0.75P = 32.75 strategic 1 OK subtract 3.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75P = 29.25 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:40.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:42.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:44:45.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R1C1 3 NEXT_HINT Try typing in the phrase "the cellular phone time used next month". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 4 OK the cellular phone time used next month default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:22.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the cellular phone time used next month. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:23.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R2C1 2 NEXT_HINT What would you say if you were measuring the cellular phone time used next month? You would count one minute, two minutes, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 3 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:30.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:31.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 3 OK the amount of the next bill default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:47.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R2C2 1 INITIAL_HINT You need to enter a unit for measuring balance on the next bill. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:48.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R2C2 2 NEXT_HINT What would you say if you were measuring balance on the next bill? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:45:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK A default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:03.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 1 INITIAL_HINT Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:04.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 2 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:07.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:11.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 4 NEXT_HINT Write an expression that means the same thing as -7.87 dollars plus 0.23 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:14.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 5 NEXT_HINT Enter -7.87 plus 0.23A HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 6 ERROR -7.87+0.23 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 7 OK -7.87+0.23A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:47:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK -7.87+0.23A=38.13 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:48:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23A = 38.13 strategic 1 OK subtract -7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:48:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23A = 46 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:48:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK -7.87+0.23A=25 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:48:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23A = 25 strategic 1 OK subtract -7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23A = 32.87 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:33.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:38.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R1C1 3 NEXT_HINT Try typing in the phrase "the cost of the items". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R1C1 4 OK the cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:49.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:49:50.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R1C2 3 OK the cost of the order during the sale default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:11.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the cost of the items. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:12.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R2C1 2 NEXT_HINT What would you say if you were measuring the cost of the items? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:38.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:40.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 10%."). The other is that you need to add the flat fee of $15 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:43.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 10%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:47.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 4 NEXT_HINT Discounting each item in the order by 10%. means subtracting 0.1 times the cost of the items. So the discount is 0.1S. Since the discount is subtracted from the cost of the items, the total cost of the order will be S-0.1S. Don't forget the flat fee of $15 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:50.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 5 NEXT_HINT Write an expression that means the cost of the items minus 0.1 times the cost of the items plus the flat fee of $15 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:50:54.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14 R3C2 6 NEXT_HINT Enter S-0.1S+15 (you could also enter 0.9S + 15, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:51:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R3C2 7 OK 0.9S+15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:51:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R4C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R5C1 1 OK 300.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 ValidEquations 1 OK 0.9S+15=442.5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9S+15 = 442.5 strategic 1 ERROR subtract 0.9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9S+15 = 442.5 strategic 2 OK subtract 15 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9S = 427.5 strategic 1 OK divide 0.9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R6C1 1 OK 475 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 ValidEquations 2 OK 0.9S+15=375 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:52:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9S+15 = 375 strategic 1 OK subtract 15 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 0.9S = 360 strategic 1 OK divide 0.9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14 R7C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:39.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:40.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 3 OK hours from now default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:50.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the number of hours from now. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:51.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C1 2 NEXT_HINT What would you say if you were measuring the number of hours from now? You would count one hour, two hours, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:53:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 3 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:00.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:01.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 3 BUG thre temperature thre temperature
Try the temperature of the liquid. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:15.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R1C2 4 INITIAL_HINT thre temperature Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:19.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R1C2 5 NEXT_HINT Try typing in the phrase "the temperature of the liquid". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 6 BUG thre temperature of the liquid thre temperature of the liquid
Try the temperature of the liquid. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 7 OK the temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:38.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the temperature of the liquid. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:39.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C2 2 NEXT_HINT What would you say if you were measuring the temperature of the liquid? You would count one degree Celsius, two degrees Celsius, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session28 2005-11-02 08:54:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 3 OK degrees celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:15:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK l default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 ERROR -33*L default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 2 ERROR -33*L default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:11.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 3 INITIAL_HINT -33*L Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:12.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 4 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:16.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 5 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:19.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 6 NEXT_HINT Write an expression that means the same thing as -33 minus 1.5 times the number of hours from now. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 7 ERROR -33-1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 8 OK -33-1.5*L default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:16:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:17:06.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the number of hours from now? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:17:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 2 NEXT_HINT Important information about the number of hours from now is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:17:12.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 3 NEXT_HINT Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:17:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 4 BUG 8 8
You entered 8 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:17:27.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 5 INITIAL_HINT 8 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:17:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 6 ERROR 888888888 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 7 ERROR 8/24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 8 ERROR 8*24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:25.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 9 INITIAL_HINT 8*24 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 10 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 11 ERROR 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 12 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:40.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 13 INITIAL_HINT 3 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 ERROR 4 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 14 ERROR 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 15 ERROR 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 16 ERROR 6 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:18:56.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 17 INITIAL_HINT 6 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 18 ERROR 7 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 19 BUG 8 8
You entered 8 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 20 ERROR 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:06.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 21 INITIAL_HINT 9 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 22 ERROR 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 23 ERROR 11 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 24 ERROR 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:17.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 25 INITIAL_HINT 12 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 26 ERROR 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 27 ERROR 14 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 28 ERROR 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:27.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 29 INITIAL_HINT 15 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 30 ERROR 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 31 BUG 18 18
You entered 18 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 32 ERROR 19 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:44.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R5C1 33 INITIAL_HINT 19 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 34 ERROR 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:19:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 35 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:10.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R6C1 2 INITIAL_HINT 4 0 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output 0 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:11.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R6C1 3 NEXT_HINT You know that the expression -33 - 1.5L represents the temperature of the liquid. What value of the number of hours from now will make the general expression -33 - 1.5L output the given value of 0 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:19.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R6C1 4 NEXT_HINT Since the general expression for the temperature of the liquid is -33 - 1.5L and since the temperature of the liquid in this question is 0, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:23.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R6C1 5 NEXT_HINT Solve the equation -33 - 1.5L = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 OK -33-1.5L=0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5L = 0 strategic 1 OK subtract -33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:20:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5L = 33 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 6 BUG 22 22
Use parentheses. Type (0 - -33)/ -1.5 as (0 - -33)/ -1.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 7 OK -22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:23.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R7C1 1 INITIAL_HINT -60 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output -60 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:24.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R7C1 2 NEXT_HINT You know that the expression -33 - 1.5L represents the temperature of the liquid. What value of the number of hours from now will make the general expression -33 - 1.5L output the given value of -60 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:29.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R7C1 3 NEXT_HINT Since the general expression for the temperature of the liquid is -33 - 1.5L and since the temperature of the liquid in this question is -60, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:33.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R7C1 4 NEXT_HINT Solve the equation -33 - 1.5L = -60. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 2 BUG -33-1.5L=60 -33-1.5L=60
Please check to make sure that -33-1.5L=60 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:21:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5L = 60 strategic 1 OK subtract -33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:22:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5L = 93 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:22:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 5 ERROR -62 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:22:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 6 ERROR -62 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:22:31.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R7C1 7 INITIAL_HINT -62 Solve the equation -33 - 1.5L = -60. HINT 4 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:23:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5L = 60 strategic 2 OK subtract -33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:23:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5L = 93 strategic 2 BUG divide 93 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:23:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5L = 93 strategic 3 BUG divide -1.5L Dividing anything by itself will leave 1. If you divide -1.5L by -1.5, L will be left. Erase your last step and then divide by -1.5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:23:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5L = 93 strategic 4 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:23:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 ERROR -62 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:23:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 8 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R1C1 3 NEXT_HINT Try typing in the phrase "the digging time". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 4 OK the digging time default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the digging time. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R2C1 2 NEXT_HINT What would you say if you were measuring the digging time? You would count one month, two months, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 3 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 3 OK the depth default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:24:56.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R2C2 1 INITIAL_HINT You need to enter a unit for measuring the depth of the mine. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R2C2 2 NEXT_HINT What would you say if you were measuring the depth of the mine? You would count one foot, two feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 3 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK C default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:21.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 1 INITIAL_HINT Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 2 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 4 NEXT_HINT Write an expression that means the same thing as -1375 minus 9 times the digging time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 5 NEXT_HINT Enter -1375 - 9C HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 6 OK -1375-9C default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:25:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 BUG 4 4
4 is the the digging time in years, but we want to use months. How many months are in four years? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:02.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C1 2 INITIAL_HINT 4 Enter the value for question 1 in months. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C1 3 NEXT_HINT You know that the digging time is four years. Convert four years to months. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:09.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C1 4 NEXT_HINT There are 12 months in a year. What is four years in months? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C1 5 NEXT_HINT To convert from years to months, multiply the number of years by 12. Four years is 48 months. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 6 OK 48 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:24.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:25.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 2 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 3 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 4 ERROR 12*1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 5 INITIAL_HINT 12*1 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 6 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:26:52.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 7 NEXT_HINT Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:28:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 8 ERROR 1234567890qwertyuiopasdfghjklzxcvbnm,./;'[=-<>?:"{|+_`~!@#$%^&*()*/- default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:30:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 9 ERROR ~!@#$%^&* default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:31:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 10 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:31:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 11 INITIAL_HINT 1 Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:31:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 12 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:31:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 13 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:31:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 14 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:31:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 15 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:38:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 16 ERROR `1234567890-=!@#$%^&*()_+qwertyuiop[QWER default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:40:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 17 BUG 10*12 10*12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:40:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 18 OK -10*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:40:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 1 INITIAL_HINT 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:40:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 2 NEXT_HINT You know that the expression -1375 - 9C represents the depth of the mine. What value of the digging time will make the general expression -1375 - 9C output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:40:48.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1375 - 9C and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:40:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 4 NEXT_HINT Solve the equation -1375 - 9C = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:41:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9C=0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:41:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = 0 strategic 1 OK subtract -1,375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:41:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = 1375 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B C = -1375/9 strategic 1 BUG rf C = -1375/9 strategic You already solved the equation. C is -1375/9. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:42:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B C = -1375/9 strategic 2 BUG rf C = -1375/9 strategic You already solved the equation. C is -1375/9. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:42:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 5 BUG -1375 -1375
Subtract the initial value, -1375, from the total amount 0 before you do the division. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:43:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 6 ERROR -1375|9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 7 OK -1375/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 1 INITIAL_HINT -2068 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output -2068 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 2 NEXT_HINT You know that the expression -1375 - 9C represents the depth of the mine. What value of the digging time will make the general expression -1375 - 9C output the given value of -2068 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1375 - 9C and since the depth of the mine in this question is -2068, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:32.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 4 NEXT_HINT Solve the equation -1375 - 9C = -2068. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 BUG -1375-9C=2068 -1375-9C=2068
Please check to make sure that -1375-9C=2068 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:44:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = 2068 strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:45:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = 3443 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:45:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 5 ERROR -3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:45:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 6 ERROR -3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:45:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 7 INITIAL_HINT -3443/9 Solve the equation -1375 - 9C = -2068. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 8 ERROR -3,443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:46:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 9 ERROR -3,443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:46:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 10 ERROR -3,443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 1 ERROR -3443/9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 2 ERROR -3443 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:47:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 BUG -1375-9C=3443 -1375-9C=3443
Please check to make sure that -1375-9C=3443 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 3 OK -2068 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:48:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 4 BUG -1375-9C=2068 -1375-9C=2068
Please check to make sure that -1375-9C=2068 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:48:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = 2068 strategic 2 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:48:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = 3443 strategic 2 BUG divide 3443 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:48:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = 3443 strategic 3 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:48:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 11 ERROR -3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:49:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = 2068 strategic 3 ERROR divide -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = 2068 strategic 4 ERROR subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:49:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = 2068 strategic 5 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:50:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = 3443 strategic 4 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:50:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 5 BUG -1375-9C=-3443/9 -1375-9C=-3443/9
Please check to make sure that -1375-9C=-3443/9 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:50:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 6 BUG -1375-9C=-(-2068) -1375-9C=-(-2068)
Please check to make sure that -1375-9C=-(-2068) is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:51:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = -(-2068) strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = 3443 strategic 5 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:52:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 12 ERROR 9/00 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:52:53.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 13 INITIAL_HINT 9/00 Solve the equation -1375 - 9C = -2068. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:53:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B C = -3443/9 strategic 1 BUG divide 9 You already solved the equation. C is -3443/9. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:53:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 7 OK -1375-9C=(-2068) default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:54:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9C = (-2068) strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:54:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9C = -693 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:54:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 14 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session29 2005-11-04 08:54:41.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:29:29.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:29:31.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:29:35.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:29:46.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:29:53.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:29:54.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:02.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 3 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:05.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:15.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:17.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:20.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:26.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:30.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:32.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:30:46.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:06.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-1+4) strategic 1 BUG add -10 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:11.0 HINT HINT ES_02 ES_02-1 EG31 -10(-1+4) strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:13.0 HINT HINT ES_02 ES_02-1 EG31 -10(-1+4) strategic 3 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:16.0 HINT HINT ES_02 ES_02-1 EG31 -10(-1+4) strategic 4 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:21.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-1+4) strategic 5 OK clt -1+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:23.0 HINT HINT ES_02 ES_02-1 EG31 -10*3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:25.0 HINT HINT ES_02 ES_02-1 EG31 -10*3 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10*3 strategic 3 OK mt -10*3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:37.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-2)*5 strategic 1 OK clt -8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:41.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*5 strategic 1 OK mt -10*5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:31:55.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-4*-7 strategic 1 BUG add -4 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:10.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-4*-7 strategic 2 BUG add -8 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:13.0 HINT HINT ES_02 ES_02-1 EG29 -8-4*-7 strategic 3 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:15.0 HINT HINT ES_02 ES_02-1 EG29 -8-4*-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:16.0 HINT HINT ES_02 ES_02-1 EG29 -8-4*-7 strategic 5 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:20.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-4*-7 strategic 6 OK mt 4*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:23.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-(-28) strategic 1 OK clt -8-(-28) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:28.0 HINT HINT ES_02 ES_02-1 EG29 20 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:29.0 HINT HINT ES_02 ES_02-1 EG29 20 strategic 2 NEXT_HINT Select 'Tutor: Simplified'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:38.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-7*-5 strategic 1 ERROR clt -5-7*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:42.0 HINT HINT ES_02 ES_02-1 EG28 -5-7*-5 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:42.0 HINT HINT ES_02 ES_02-1 EG28 -5-7*-5 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-7*-5 strategic 4 OK mt 7*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:49.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-35) strategic 1 OK clt -5-(-35) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:32:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(-6-8) strategic 1 ERROR mt -3(-6-8) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:00.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(-6-8) strategic 2 OK clt -6-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:03.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3*-14 strategic 1 OK mt -3*-14 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:12.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (6-10)*3 strategic 1 OK clt 6-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:15.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*3 strategic 1 OK mt -4*3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:25.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*1-3 strategic 1 ERROR clt -2*1-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:29.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*1-3 strategic 2 OK mt -2*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:32.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-3 strategic 1 ERROR mt -2-3 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:37.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-3 strategic 2 OK clt -2-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:43.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-2*-7 strategic 1 OK mt 2*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-(-14) strategic 1 OK clt 5-(-14) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:53.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-4-4) strategic 1 OK clt -4-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:33:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*-8 strategic 1 OK mt -8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:04.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7-1*-6 strategic 1 ERROR clt -7-1*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:08.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7-1*-6 strategic 2 OK mt 1*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:11.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7-(-6) strategic 1 OK clt -7-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:17.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8*-1-8 strategic 1 OK mt 8*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-8 strategic 1 OK clt -8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:26.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7-9*-7 strategic 1 OK mt 9*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:29.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7-(-63) strategic 1 OK clt -7-(-63) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:34:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(4+1) strategic 1 OK distribute -4(4+1) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 BUG 4*(4+1) 4*(4+1)
Check the sign of your answer. BUG default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:11.0 HINT HINT ES_02 ES_02-2 EG31 -4(4+1) strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:13.0 HINT HINT ES_02 ES_02-2 EG31 -4(4+1) strategic 3 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:16.0 HINT HINT ES_02 ES_02-2 EG31 -4(4+1) strategic 4 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(4+1) strategic 5 OK clt 4+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:23.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 8 INITIAL_HINT You need to combine like terms in -4(4+1). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -4.5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -4*5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:35:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4*5 strategic 1 OK mt -4*5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:36:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 OK -20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:36:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-10-6)*-4 strategic 1 OK clt -10-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:36:19.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-10-6)*-4. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:36:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG -16*(4) -16*(4)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:36:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -16*(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:36:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -16*-4 strategic 1 OK mt -16*-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:37:21.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-16]*[-4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:37:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 64 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:37:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*0+8 strategic 1 OK mt -2*0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:37:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -0+8 -0+8
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -0+-8 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:13.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 3 INITIAL_HINT -0+-8 You need to perform multiplication in -2*0+8. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK 0+8 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0+8 strategic 1 OK clt 0+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK 8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8+7*-5 strategic 1 ERROR clt -8+7*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:38:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8+7*-5 strategic 2 OK mt 7*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -15*(-5) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -15*(-5) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -15*(-5) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:19.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT -15*(-5) You need to perform multiplication in -8+7*-5. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -8+(-35) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-35 strategic 1 OK clt -8-35 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:45.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 6 INITIAL_HINT In the group above, you have [-8]+[-35]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:39:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK -43 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (10-2)*-4 strategic 1 OK clt 10-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:14.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (10-2)*-4. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 8*(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 8*-4 strategic 1 OK mt 8*-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 8*-4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 8*-4 strategic 2 OK mt 8*-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:40:54.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [8]*[-4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:41:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK -32 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:41:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 8(-7-4) strategic 1 OK clt -7-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:41:16.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in 8(-7-4). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:41:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 8*(-11) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:41:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 8*-11 strategic 1 OK mt 8*-11 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:41:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -88 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:42:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1*-9-6 strategic 1 ERROR clt -1*-9-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:42:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1*-9-6 strategic 2 OK mt -1*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:42:36.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in -1*-9-6. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:42:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 9-6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 9-6 strategic 1 OK clt 9-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-9*-7 strategic 1 OK mt 9*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 ERROR 3*(-7) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:44:02.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 10 INITIAL_HINT 3*(-7) You need to perform multiplication in -6-9*-7. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:44:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 11 BUG -6-(63) -6-(63)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:44:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 12 OK -6-(-63) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:44:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+63 strategic 1 OK clt -6+63 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 13 ERROR -69 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 14 ERROR -69 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 15 ERROR -69 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 16 ERROR 69 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 17 ERROR 69 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:19.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 18 INITIAL_HINT 69 In the group above, you have [-6]+[63]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session30 2005-11-04 11:45:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 19 OK 57 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:16:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-6)*2 strategic 1 OK clt -8-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:16:41.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-8-6)*2. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:16:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -14*2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:17:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -14*2 strategic 1 OK mt -14*2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:17:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -28 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:17:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-7-4) strategic 1 OK clt -7-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:17:32.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -6(-7-4). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:17:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -6*(-11) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:17:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-11 strategic 1 OK mt -6*-11 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 66 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(5-3) strategic 1 OK clt 5-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:21.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -6(5-3). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -6*2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*2 strategic 1 OK mt -6*2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6+0)*-8 strategic 1 OK clt -6+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:18:59.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-6+0)*-8. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:19:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -6*(-8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:19:20.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -6*-8 strategic 1 OK mt -6*-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:19:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 48 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:19:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(5-5) strategic 1 OK clt 5-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:19:50.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -5(5-5). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -5*0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*0 strategic 1 OK mt -5*0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5-5)*-3 strategic 1 OK clt -5-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:27.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-5-5)*-3. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -10*(-3) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -10*-3 strategic 1 OK mt -10*-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:20:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9(-2+1) strategic 1 OK clt -2+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 9*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 9*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 9*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:24.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT 9*-3 You need to combine like terms in 9(-2+1). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 9*(-1) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9*-1 strategic 1 OK mt 9*-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:21:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -9 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = -38(-13-22) strategic 1 OK clt -13-22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:14.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = -38*-35 strategic 1 OK mt -38*-35 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:19.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 1330 strategic 1 BUG distribute y = 1330 strategic You already solved the equation. y is 1330. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:29.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (28-13)*-17 = y strategic 1 OK clt 28-13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:32.0 CYCLE CYCLE ES_02 ES_02-3 EG34A 15*-17 = y strategic 1 OK mt 15*-17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:39.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = 44-38*45 strategic 1 ERROR clt y = 44-38*45 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:45.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = 44-38*45 strategic 2 OK mt 38*45 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:48.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = 44-1710 strategic 1 OK clt 44-1710 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:22:57.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = 6-10*-9 strategic 1 OK mt 10*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:00.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = 6-(-90) strategic 1 OK clt 6-(-90) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:07.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 31-24*-42 = x strategic 1 OK mt 24*-42 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:10.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 31-(-1008) = x strategic 1 OK clt 31-(-1008) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:18.0 CYCLE CYCLE ES_02 ES_02-3 EG35 y = 5(-9-8) strategic 1 OK clt -9-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:21.0 CYCLE CYCLE ES_02 ES_02-3 EG35 y = 5*-17 strategic 1 OK mt 5*-17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:33.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -13-41*2 strategic 1 OK mt 41*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:37.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -13-82 strategic 1 OK clt -13-82 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -36(-34+22) = x strategic 1 OK clt -34+22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:23:52.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -36(-34+22). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:24:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -36*(-12) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:24:25.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -36*-12 = x strategic 1 OK mt -36*-12 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:24:28.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-36]*[-12]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:24:39.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 4 OK 432 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:24:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-2+3)*-5 strategic 1 ERROR mt y = (-2+3)*-5 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:24:52.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-2+3)*-5 strategic 2 OK clt -2+3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 ERROR (-5)*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 ERROR (-5)*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 ERROR (-5)*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 4 ERROR (-5)*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:11.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 5 INITIAL_HINT (-5)*(-5) You need to combine like terms in (-2+3)*-5. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 6 OK 1*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:27.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = 1*-5 strategic 1 ERROR clt y = 1*-5 strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:37.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = 1*-5 strategic 2 ERROR distribute y = 1*-5 strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = 1*-5 strategic 3 OK mt 1*-5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:25:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 7 OK -5 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-10-22)*-37 = y strategic 1 ERROR mt (-10-22)*-37 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-10-22)*-37 = y strategic 2 OK clt -10-22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:07.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-10-22)*-37. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -32*(-37) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -32*-37 = y strategic 1 OK mt -32*-37 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:32.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-32]*[-37]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 OK 1184 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:55.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -1(-15+24) strategic 1 OK clt -15+24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:26:57.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -1(-15+24). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:09.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -1*9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -1*9 strategic 1 OK mt -1*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK -9 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35 -5(-10-5) = y strategic 1 OK clt -10-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:32.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -5(-10-5). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK -5(-15) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:27:55.0 CYCLE CYCLE ES_02 ES_02-4 EG35 -5*-15 = y strategic 1 OK mt -5*-15 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:10.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 3 OK 75 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:17.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (-35+19)*-33 strategic 1 ERROR mt x = (-35+19)*-33 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (-35+19)*-33 strategic 2 OK clt -35+19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:24.0 HINT HINT ES_02 ES_02-4 EG34B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-35+19)*-33. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:45.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK -16*(-33) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = -16*-33 strategic 1 OK mt -16*-33 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:28:50.0 HINT HINT ES_02 ES_02-4 EG34B FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-16]*[-33]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 4 OK 528 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:16.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -9(4-28) strategic 1 OK clt 4-28 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:18.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -9(4-28). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK -9*(-24) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -9*-24 strategic 1 OK mt -9*-24 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:48.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-9]*[-24]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session31 2005-11-07 11:29:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 4 OK 216 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:29:28.0 CYCLE CYCLE ES_02 ES_02-4 EG38 -4*-7 = y strategic 1 ERROR clt -4*-7 = y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:29:32.0 CYCLE CYCLE ES_02 ES_02-4 EG38 -4*-7 = y strategic 2 OK mt -4*-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:29:48.0 CYCLE CYCLE ES_02 ES_02-4 EG38 FinalAnswer strategic 1 OK 28 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:29:57.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = (11-45)*-18 strategic 1 ERROR mt y = (11-45)*-18 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:30:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = (11-45)*-18 strategic 2 OK clt 11-45 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:30:03.0 HINT HINT ES_02 ES_02-4 EG34C FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (11-45)*-18. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:30:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK -34*(-18) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:30:33.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = -34*-18 strategic 1 OK mt -34*-18 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:30:36.0 HINT HINT ES_02 ES_02-4 EG34C FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-34]*[-18]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:30:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 4 OK 612 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (5-9)*-2 = y strategic 1 ERROR mt (5-9)*-2 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (5-9)*-2 = y strategic 2 ERROR mt (5-9)*-2 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (5-9)*-2 = y strategic 3 OK clt 5-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 BUG (4)*(-2) (4)*(-2)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 BUG (4)*(-2) (4)*(-2)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 BUG (4)*(-2) (4)*(-2)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:31:47.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 4 INITIAL_HINT (4)*(-2) You need to combine like terms in (5-9)*-2. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 5 BUG -4*(2) -4*(2)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 6 OK -4*(-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:13.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -4*-2 = y strategic 1 ERROR clt -4*-2 = y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -4*-2 = y strategic 2 OK mt -4*-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -4*-2 = y strategic 3 OK mt -4*-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 7 OK 8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -38(-40+46) strategic 1 OK clt -40+46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:32:52.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -38(-40+46). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -38*6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:09.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -38*6 strategic 1 OK mt -38*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:10.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-38]*[6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 4 OK -228 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:30.0 CYCLE CYCLE ES_02 ES_02-4 EG39C x = 23*-14 strategic 1 OK mt 23*-14 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:32.0 HINT HINT ES_02 ES_02-4 EG39C FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [23]*[-14]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:41.0 CYCLE CYCLE ES_02 ES_02-4 EG39C FinalAnswer strategic 2 OK -322 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:54.0 CYCLE CYCLE ES_02 ES_02-4 EG39 y = -3*5 strategic 1 OK mt -3*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:33:59.0 CYCLE CYCLE ES_02 ES_02-4 EG39 FinalAnswer strategic 1 OK -15 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-11-32)*-13 strategic 1 ERROR mt x = (-11-32)*-13 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-11-32)*-13 strategic 2 OK clt -11-32 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:12.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-11-32)*-13. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -43*(-13) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -43*-13 strategic 1 OK mt -43*-13 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:34.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-43]*[-13]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:42.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 OK 559 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 14(49+4) strategic 1 ERROR mt y = 14(49+4) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:53.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 14(49+4) strategic 2 OK clt 49+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:34:57.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in 14(49+4). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:10.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 14*53 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:14.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 14*53 strategic 1 OK mt 14*53 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:16.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [14]*[53]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 4 OK 742 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 1 ERROR mt -9x+7 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 2 ERROR clt -9x+7 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 3 ERROR rf -9x+7 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 4 ERROR rf -9x+7 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:35:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 5 ERROR rds -9x+7 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 6 ERROR distribute -9x+7 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 7 ERROR aproot right default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 8 ERROR expon right default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 9 BUG subtract -8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 10 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 1 ERROR clt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 2 ERROR mt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:36:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 3 OK distribute (-9x+7)/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x/-9+(7/-9) = -8/-9 strategic 1 OK clt -9x/-9+(7/-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 4 ERROR clt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 5 ERROR clt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 6 ERROR mt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 7 OK distribute (-9x+7)/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x/-9+(7/-9) = -8/-9 strategic 2 ERROR distribute -9x/-9+(7/-9) = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x/-9+(7/-9) = -8/-9 strategic 3 OK clt -9x/-9+(7/-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:37:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 8 ERROR mt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:38:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 9 ERROR clt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:38:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 10 OK distribute (-9x+7)/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:38:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x/-9+(7/-9) = -8/-9 strategic 4 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:38:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(7/-9) = -8/-9 strategic 1 OK rf 7/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:38:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9) = -8/-9 strategic 1 OK rf -8/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:38:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9) = 8/9 strategic 1 ERROR rf x+(-7/9) = 8/9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 11 ERROR subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x+7 = -8 strategic 12 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 11 OK distribute (-9x+7)/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x/-9+(7/-9) = -8/-9 strategic 5 OK clt -9x/-9+(7/-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 12 ERROR mt (-9x+7)/-9 = -8/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9x+7)/-9 = -8/-9 strategic 13 OK distribute (-9x+7)/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9x/-9+(7/-9) = -8/-9 strategic 6 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(7/-9) = -8/-9 strategic 2 OK rf 7/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:39:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9) = -8/-9 strategic 2 OK rf -8/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:04.0 HINT HINT ES_02 ES_02-5 EG40 x+(-7/9) = 8/9 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:04.0 HINT HINT ES_02 ES_02-5 EG40 x+(-7/9) = 8/9 strategic 3 NEXT_HINT -7/9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7/9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:08.0 HINT HINT ES_02 ES_02-5 EG40 x+(-7/9) = 8/9 strategic 4 NEXT_HINT You can add 7/9 to both sides of the equation to eliminate the constant value of -7/9 (-7/9 + 7/9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9) = 8/9 strategic 5 OK add 7/9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9)+7/9 = 8/9+7/9 strategic 1 ERROR rf x+(-7/9)+7/9 = 8/9+7/9 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9)+7/9 = 8/9+7/9 strategic 2 ERROR distribute x+(-7/9)+7/9 = 8/9+7/9 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9)+7/9 = 8/9+7/9 strategic 3 ERROR mt x+(-7/9)+7/9 = 8/9+7/9 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x+(-7/9)+7/9 = 8/9+7/9 strategic 4 OK clt x+(-7/9)+7/9 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:40:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 8/9+7/9 strategic 1 OK clt 8/9+7/9 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = -8y-8 strategic 1 BUG add -8 To remove -8 from the right side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:18.0 HINT HINT ES_02 ES_02-5 EG40 10 = -8y-8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:18.0 HINT HINT ES_02 ES_02-5 EG40 10 = -8y-8 strategic 3 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:22.0 HINT HINT ES_02 ES_02-5 EG40 10 = -8y-8 strategic 4 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = -8y-8 strategic 5 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+8 = -8y-8+8 strategic 1 OK clt 10+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y-8+8 strategic 1 OK clt -8y-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y strategic 1 ERROR clt 18 = -8y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:41:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y strategic 2 ERROR mt 18 = -8y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y strategic 3 ERROR distribute 18 = -8y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y strategic 4 BUG add 18 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:19.0 HINT HINT ES_02 ES_02-5 EG40 18 = -8y strategic 5 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:21.0 HINT HINT ES_02 ES_02-5 EG40 18 = -8y strategic 6 NEXT_HINT -8y is -8 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y strategic 7 BUG divide 18 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = -8y strategic 8 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18/-8 = -8y/-8 strategic 1 OK rf 18/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/4 = -8y/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9/4 = y strategic 1 BUG rf -9/4 = y strategic You already solved the equation. y is -9/4. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:42:58.0 HINT HINT ES_02 ES_02-5 EG40 -9/4 = y strategic 2 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:43:00.0 HINT HINT ES_02 ES_02-5 EG40 -9/4 = y strategic 3 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:43:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -7+4x strategic 1 ERROR subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:43:39.0 HINT HINT ES_02 ES_02-5 EG40 5-4 = -7+4x-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:43:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -7+4x strategic 2 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:43:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -7+4x strategic 3 ERROR subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -7+4x strategic 4 BUG multiply 4 To remove the coefficient of 4x, you need to divide. Erase your last step and then divide both sides by 4. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -7+4x strategic 5 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = (-7+4x)/4 strategic 1 ERROR rf 5/4 = (-7+4x)/4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = (-7+4x)/4 strategic 2 ERROR clt 5/4 = (-7+4x)/4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = (-7+4x)/4 strategic 3 OK distribute (-7+4x)/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = -7/4+4x/4 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 1 ERROR clt 5/4 = -7/4+x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 2 ERROR rds 5/4 = -7/4+x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 3 ERROR distribute 5/4 = -7/4+x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:47.0 HINT HINT ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:48.0 HINT HINT ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 5 NEXT_HINT -7/4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -7/4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:44:52.0 HINT HINT ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 6 NEXT_HINT You can add 7/4 to both sides of the equation to eliminate the constant value of -7/4 (-7/4 + 7/4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:45:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = -7/4+x strategic 7 OK add 7/4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:45:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4+7/4 = -7/4+x+7/4 strategic 1 ERROR rf 5/4+7/4 = -7/4+x+7/4 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:45:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4+7/4 = -7/4+x+7/4 strategic 2 OK clt 5/4+7/4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session32 2005-11-09 11:45:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/4 = -7/4+x+7/4 strategic 1 OK clt -7/4+x+7/4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:30:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+1 = -6 strategic 1 ERROR clt 4y+1 = -6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:30:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+1 = -6 strategic 2 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:30:43.0 HINT HINT ES_02 ES_02-5 EG40 4y+1 = -6 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:30:46.0 HINT HINT ES_02 ES_02-5 EG40 4y+1 = -6 strategic 4 NEXT_HINT 1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:30:50.0 HINT HINT ES_02 ES_02-5 EG40 4y+1 = -6 strategic 5 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:30:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+1 = -6 strategic 6 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+1-1 = -6-1 strategic 1 ERROR rf 4y+1-1 = -6-1 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+1-1 = -6-1 strategic 2 OK clt 4y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = -6-1 strategic 1 OK clt -6-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:22.0 HINT HINT ES_02 ES_02-5 EG40 4y = -7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:23.0 HINT HINT ES_02 ES_02-5 EG40 4y = -7 strategic 2 NEXT_HINT 4y is 4 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = -7 strategic 3 BUG multiply 4 To remove the coefficient of 4y, you need to divide. Erase your last step and then divide both sides by 4. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = -7 strategic 4 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y/4 = -7/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:31:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -7/4 strategic 1 BUG distribute y = -7/4 strategic You already solved the equation. y is -7/4. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x-7 = 1 strategic 1 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:12.0 HINT HINT ES_02 ES_02-5 EG40 6x-7 = 1 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:13.0 HINT HINT ES_02 ES_02-5 EG40 6x-7 = 1 strategic 3 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x-7 = 1 strategic 4 BUG subtract 7 Since -7 is negative, you should add to remove it from the left side. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x-7 = 1 strategic 5 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x-7+7 = 1+7 strategic 1 OK clt 6x-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:32:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 1+7 strategic 1 OK clt 1+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:33:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 8 strategic 1 BUG multiply 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:33:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 8 strategic 2 BUG multiply 6 To remove the coefficient of 6x, you need to divide. Erase your last step and then divide both sides by 6. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:33:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 8 strategic 3 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:33:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 8/6 strategic 1 ERROR clt 6x/6 = 8/6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:33:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 8/6 strategic 2 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:33:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 8/6 strategic 1 BUG rds x = 8/6 strategic You already solved the equation. x is 8/6. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -1-1x strategic 1 ERROR rf 2 = -1-1x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:09.0 HINT HINT ES_02 ES_02-5 EG40 2 = -1-1x strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:10.0 HINT HINT ES_02 ES_02-5 EG40 2 = -1-1x strategic 3 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:13.0 HINT HINT ES_02 ES_02-5 EG40 2 = -1-1x strategic 4 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -1-1x strategic 5 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+1 = -1-1x+1 strategic 1 OK clt 2+1 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1-1x+1 strategic 1 OK clt -1-1x+1 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1x strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/-1 = -1x/-1 strategic 1 OK rf 3/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:34:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -1x/-1 strategic 1 OK rf -1x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 8+3y strategic 1 BUG add 8 Since 8 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 8 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 8+3y strategic 2 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-8 = 8+3y-8 strategic 1 OK clt 9-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 8+3y-8 strategic 1 ERROR mt 1 = 8+3y-8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 8+3y-8 strategic 2 OK clt 8+3y-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 3y strategic 1 ERROR rf 1 = 3y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:40.0 HINT HINT ES_02 ES_02-5 EG40 1 = 3y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:41.0 HINT HINT ES_02 ES_02-5 EG40 1 = 3y strategic 3 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 3y strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:35:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -3y-8 strategic 1 ERROR add -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:11.0 HINT HINT ES_02 ES_02-5 EG40 5 = -3y-8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:11.0 HINT HINT ES_02 ES_02-5 EG40 5 = -3y-8 strategic 3 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:15.0 HINT HINT ES_02 ES_02-5 EG40 5 = -3y-8 strategic 4 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -3y-8 strategic 5 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+8 = -3y-8+8 strategic 1 OK clt 5+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -3y-8+8 strategic 1 OK clt -3y-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -3y strategic 1 ERROR multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -3y strategic 2 BUG divide 3 In this equation, y is multiplied by -3. Dividing by 3 leaves -y, so you still need to remove the negative sign. It is better to divide by -3, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:47.0 HINT HINT ES_02 ES_02-5 EG40 13 = -3y strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:48.0 HINT HINT ES_02 ES_02-5 EG40 13 = -3y strategic 4 NEXT_HINT -3y is -3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:36:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -3y strategic 5 BUG divide 3 In this equation, y is multiplied by -3. Dividing by 3 leaves -y, so you still need to remove the negative sign. It is better to divide by -3, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -3y strategic 6 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/-3 = -3y/-3 strategic 1 OK rf 13/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13/3 = -3y/-3 strategic 1 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -1+7y strategic 1 BUG add -4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:38.0 HINT HINT ES_02 ES_02-5 EG40 -4 = -1+7y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:39.0 HINT HINT ES_02 ES_02-5 EG40 -4 = -1+7y strategic 3 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:42.0 HINT HINT ES_02 ES_02-5 EG40 -4 = -1+7y strategic 4 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -1+7y strategic 5 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+1 = -1+7y+1 strategic 1 OK clt -4+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:37:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -1+7y+1 strategic 1 OK clt -1+7y+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:38:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:38:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/7 = 7y/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:38:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+9y strategic 1 BUG add -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:38:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+9y strategic 2 ERROR add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:38:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+9y strategic 3 ERROR subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:38:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+9y strategic 4 BUG add -3 To remove -3 from the right side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+9y strategic 5 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-(-3) = -3+9y-(-3) strategic 1 OK clt -9-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -3+9y-(-3) strategic 1 OK clt -3+9y-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 9y strategic 1 ERROR rf -6 = 9y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 9y strategic 2 BUG multiply -6 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 9y strategic 3 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/9 = 9y/9 strategic 1 OK rf -6/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:39:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/3 = 9y/9 strategic 1 OK rf 9y/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 7y+1 strategic 1 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 7y+1 strategic 2 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:14.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 7y+1 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:15.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 7y+1 strategic 4 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 7y+1 strategic 5 BUG add 1 Since 1 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 1 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 7y+1 strategic 6 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5-1 = 7y+1-1 strategic 1 OK clt -5-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 7y+1-1 strategic 1 OK clt 7y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 7y strategic 1 BUG multiply 7 To remove the coefficient of 7y, you need to divide. Erase your last step and then divide both sides by 7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:40:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 7y strategic 2 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/7 = 7y/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x+5 = 1 strategic 1 BUG add 5 Since 5 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 5 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x+5 = 1 strategic 2 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x+5-5 = 1-5 strategic 1 OK clt -7x+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = 1-5 strategic 1 OK clt 1-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = -4 strategic 1 BUG multiply -7 To remove the coefficient of -7x, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = -4 strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x/-7 = -4/-7 strategic 1 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:41:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -4/-7 strategic 1 OK rf -4/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:42:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x+7 = 7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:42:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x+7-7 = 7-7 strategic 1 OK clt 5x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:42:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = 7-7 strategic 1 OK clt 7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:42:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = 0 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:42:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x/5 = 0/5 strategic 1 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:42:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 0/5 strategic 1 OK rf 0/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:43:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 2x-7 strategic 1 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:43:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-(-7) = 2x-7-(-7) strategic 1 OK clt 2-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:43:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 2x-7-(-7) strategic 1 OK clt 2x-7-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:43:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:43:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9/2 = 2x/2 strategic 1 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:43:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = 9y+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5-1 = 9y+1-1 strategic 1 OK clt 5-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 9y+1-1 strategic 1 OK clt 9y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 9y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4/9 = 9y/9 strategic 1 OK rf 9y/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1 = 0 strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 1 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1 = 0 strategic 2 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1 = 0 strategic 3 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 1 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:44:59.0 HINT HINT ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:00.0 HINT HINT ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 3 NEXT_HINT Type in 8x+1-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 4 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:14.0 HINT HINT ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:33.0 HINT HINT ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 6 NEXT_HINT Type in 8x+1-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 7 OK typein 8x+1-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:54.0 HINT HINT ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:45:55.0 HINT HINT ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 9 NEXT_HINT Type in 0-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:46:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 10 OK typein 0-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:46:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+1-1 = 0-1 strategic 11 OK clt 8x+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:46:26.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select 8x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:46:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:46:58.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 2 INITIAL_HINT In the group above, you have [8x]. Type [8x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:12.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 1 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:23.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select -1 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:47:47.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT From the original equation at the top, select -1 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:48:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:48:22.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT In the group above, you have [1]+[-1]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:48:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:48:35.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above, you have [8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:48:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = 0-1 strategic 1 OK clt 8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:14.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT In the group above, you have [8x]. Type [8x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK +0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:46.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT In the group above, you have [+0]. Type [+0] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:49:55.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above, you have [8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = 0-1 strategic 2 OK clt 8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 6 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 7 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:50:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:07.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = 0-1 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:09.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = 0-1 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = 0-1 strategic 5 OK clt 0-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:28.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT 1 In the group above, you have [0]+[-1]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:48.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = -1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:49.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = -1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = -1 strategic 3 OK clt 8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:51:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 9 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 8 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:12.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 12 INITIAL_HINT Above, you have [8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK 8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:38.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = -1 strategic 4 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:39.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = -1 strategic 5 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = -1 strategic 6 OK clt 8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 9 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 10 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:52:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = -1 strategic 7 OK clt 8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 10 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 11 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 ERROR 8x+ default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:19.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 15 INITIAL_HINT 8x+ Above, you have [8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 OK 8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:38.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = -1 strategic 8 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:39.0 HINT HINT ES_02 ES_02-6 EG40 8x+0 = -1 strategic 9 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+0 = -1 strategic 10 OK clt 8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 6 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 11 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:53:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 12 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:54:02.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 17 INITIAL_HINT Above, you have [8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session33 2005-11-16 08:54:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 18 OK 8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-7x = -1 strategic 1 ERROR clt 2-7x = -1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:29.0 HINT HINT ES_02 ES_02-6 EG40 2-7x = -1 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:30.0 HINT HINT ES_02 ES_02-6 EG40 2-7x = -1 strategic 3 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:34.0 HINT HINT ES_02 ES_02-6 EG40 2-7x = -1 strategic 4 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-7x = -1 strategic 5 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:45.0 HINT HINT ES_02 ES_02-6 EG40 2-7x-2 = -1-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session34 2005-11-17 11:46:46.0 HINT HINT ES_02 ES_02-6 EG40 2-7x-2 = -1-2 strategic 2 NEXT_HINT Type in 2-7x-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:24:32.0 HINT HINT ES_02 ES_02-6 EG40 -7 = 3-9y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:24:33.0 HINT HINT ES_02 ES_02-6 EG40 -7 = 3-9y strategic 2 NEXT_HINT 3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:24:40.0 HINT HINT ES_02 ES_02-6 EG40 -7 = 3-9y strategic 3 NEXT_HINT You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:24:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 3-9y strategic 4 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:24:52.0 HINT HINT ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:24:53.0 HINT HINT ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 2 NEXT_HINT Type in -7-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 3 OK typein -7-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:18.0 HINT HINT ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:20.0 HINT HINT ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 5 NEXT_HINT Type in 3-9y-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 6 OK typein 3-9y-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-3 = 3-9y-3 strategic 7 OK clt -7-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:25:59.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT -4 In the group above, you have [-7]+[-3]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:26:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:26:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = 3-9y-3 strategic 1 OK clt 3-9y-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:26:21.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select -9y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:26:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:26:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:26:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:27:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:27:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:01.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 2 INITIAL_HINT In the group above, you have [-9y]. Type [-9y] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:12.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 3 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG -3y -3y
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:46.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT Before working on this answer, perhaps try working on the constant terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:28:55.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT -3y From the original equation at the top, select 3 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:11.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT -3y In the group above, you have [3]+[-3]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:12.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 5 INITIAL_HINT -3y In the group above, you have [3]+[-3]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:25.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT Above, you have [-9y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 1 OK clt -9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 6 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:29:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 4 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:14.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT Above, you have [-9y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 2 ERROR distribute -10 = -9y+0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 3 ERROR rds -10 = -9y+0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:43.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 4 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:44.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 5 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 6 OK clt -9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 7 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:30:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 5 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:14.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:15.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 9 OK clt -9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 8 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 6 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 9 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:50.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 10 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:52.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 11 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:31:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 12 OK clt -9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 9 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 7 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 10 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 13 OK clt -9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:38.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 14 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:32:39.0 HINT HINT ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 15 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:33:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 16 ERROR subtract -9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:33:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 17 ERROR add -9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:33:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 18 BUG multiply -9 To remove the coefficient of -9y, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:33:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 19 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:33:47.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:33:48.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 2 NEXT_HINT Type in -10/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:34:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 3 OK typein -10/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:34:07.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:34:08.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 5 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:34:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 6 BUG typein -9y+0 /-9 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:35:05.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:35:06.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 8 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:35:09.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 9 NEXT_HINT Divide by -9 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:35:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 10 ERROR typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:35:26.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 11 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:35:28.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 12 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:36:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 13 BUG typein -9y+0/-9 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:36:18.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 14 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:36:20.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 15 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:39:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 16 BUG typein -9y+0 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:40:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 17 ERROR typein -9y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:41:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 18 BUG typein 1y Just divide -9y+0 by -9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:41:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 19 BUG typein y Just divide -9y+0 by -9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:41:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 20 OK typein y+0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:42:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = y+0 strategic 1 OK clt y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:42:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 10 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:42:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:42:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 8 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:42:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 11 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:42:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 OK y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 20 OK add 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:17.0 HINT HINT ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:19.0 HINT HINT ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 2 NEXT_HINT Type in -10+0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 3 OK typein -10+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:29.0 HINT HINT ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:30.0 HINT HINT ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 5 NEXT_HINT Type in -9y+0+0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 6 OK typein -9y+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10+0 = -9y+0+0 strategic 7 OK clt -10+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:43:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 OK -10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0+0 strategic 1 OK clt -9y+0+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 11 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 9 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 12 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:18.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 17 INITIAL_HINT Above, you have [-9y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 18 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 21 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:54.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 21 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:44:55.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 22 NEXT_HINT Type in -10/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 23 OK typein -10/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:08.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 24 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:09.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 25 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:27.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 26 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:28.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 27 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 28 BUG typein -9y/-9 Just divide -9y+0 by -9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:45:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 29 BUG typein -9y+0 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:46:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 30 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:46:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 31 BUG typein -9y+0 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:46:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 32 ERROR typein -10+0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:46:54.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 33 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:46:55.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 34 NEXT_HINT Type in (-9y+0)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:47:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 35 BUG typein -9y/-9 Just divide -9y+0 by -9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:48:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 36 ERROR typein +0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:48:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = (-9y+0)/-9 strategic 37 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:51:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y+0 strategic 22 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:51:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-0 = -9y+0-0 strategic 1 OK typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:51:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-0 = -9y+0-0 strategic 2 OK typein -9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:52:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y strategic 1 ERROR clt -10 = -9y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:52:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y strategic 2 BUG subtract -10 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:52:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -9y strategic 3 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:00.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:01.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 2 NEXT_HINT Type in -10/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 3 OK typein -10/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:20.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:20.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 5 NEXT_HINT Type in -9y/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 6 OK typein -9y/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 7 ERROR clt -10/-9 = -9y/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:42.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 8 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:44.0 HINT HINT ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 9 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/-9 = -9y/-9 strategic 10 OK rf -10/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:53:53.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 19 INITIAL_HINT Above is the simplified form of the expression -10/-9. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 20 OK 10/9 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/9 = -9y/-9 strategic 1 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:11.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session35 2005-11-18 08:54:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:42:31.0 HINT HINT ES_02 ES_02-6 EG40 -6 = -5-1x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:42:32.0 HINT HINT ES_02 ES_02-6 EG40 -6 = -5-1x strategic 2 NEXT_HINT -5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:42:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -5-1x strategic 3 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:42:44.0 HINT HINT ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:42:46.0 HINT HINT ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 2 NEXT_HINT Type in -6-(-5) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:43:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 3 OK typein -6-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:43:19.0 HINT HINT ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:43:21.0 HINT HINT ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 5 NEXT_HINT Type in -5-1x-(-5) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 6 ERROR typein -5-1x(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:05.0 HINT HINT ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:07.0 HINT HINT ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 8 NEXT_HINT Type in -5-1x-(-5) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-(-5) = -5-1x-(-5) strategic 9 OK typein -5-1x-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:19.0 HINT HINT ES_02 ES_02-6 EG40 -6+5 = -5-1x+5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:20.0 HINT HINT ES_02 ES_02-6 EG40 -6+5 = -5-1x+5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+5 = -5-1x+5 strategic 3 OK clt -6+5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:37.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT -11 In the group above, you have [-6]+[5]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:44:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -5-1x+5 strategic 1 OK clt -5-1x+5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG -5 -5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:07.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -1x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -1x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:16.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 2 INITIAL_HINT In the group above, you have [-1x]. Type [-1x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK -1x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:27.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select -5 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:39.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select 5 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:45:47.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT From the original equation at the top, select 5 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:07.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT In the group above, you have [-5]+[5]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:23.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT Above, you have [-1x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -1x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:56.0 HINT HINT ES_02 ES_02-6 EG40 -1 = -x+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:46:58.0 HINT HINT ES_02 ES_02-6 EG40 -1 = -x+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -x+0 strategic 3 OK clt -x+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK -x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 ERROR 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 ERROR 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:20.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 6 INITIAL_HINT 0 In the group above, you have [-x]. Type [-x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 7 OK -x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:39.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT From the original equation at the top, select 0 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:47:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:48:01.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 7 INITIAL_HINT From the original equation at the top, select 0 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:48:02.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 8 INITIAL_HINT From the original equation at the top, select 0 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:48:19.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT Before working on this answer, perhaps try working on the constant terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:49:44.0 HINT HINT ES_02 ES_02-6 EG40 5 = 4-8x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:49:45.0 HINT HINT ES_02 ES_02-6 EG40 5 = 4-8x strategic 2 NEXT_HINT 4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:49:49.0 HINT HINT ES_02 ES_02-6 EG40 5 = 4-8x strategic 3 NEXT_HINT You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:49:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 4-8x strategic 4 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:08.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:11.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 2 NEXT_HINT Type in 5-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 3 OK typein 5-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:23.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:25.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 5 NEXT_HINT Type in 4-8x-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 6 OK typein 4-8x-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:40.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:41.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:50:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 9 OK clt 4-8x-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 10 OK clt 5-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:06.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [5]+[-4]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 99999999999999898989896869568496854968599999 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:40.0 HINT HINT ES_02 ES_02-6 EG40 1 = 4-8x-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:41.0 HINT HINT ES_02 ES_02-6 EG40 1 = 4-8x-4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = 4-8x-4 strategic 3 OK clt 4-8x-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:51:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:14.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 3 INITIAL_HINT x In the group above, you have [-8x]. Type [-8x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:24.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select -4 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:37.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT In the group above, you have [4]+[-4]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:47.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT Above, you have [-8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:52:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:02.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:03.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -8x+0 strategic 3 OK clt -8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:24.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT Above, you have [-8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK -8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:41.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 4 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:53:42.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 5 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 4-8x strategic 5 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:08.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 11 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:09.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 12 NEXT_HINT Type in 5-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 13 OK typein 5-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:18.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 14 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:20.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 15 NEXT_HINT Type in 4-8x-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 16 OK typein 4-8x-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = 4-8x-4 strategic 17 OK clt 4-8x-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:54:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 6 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 7 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 8 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:08.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 6 INITIAL_HINT From the original equation at the top, select -8x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 9 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 7 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:55:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 ERROR -1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:06.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 9 INITIAL_HINT Above, you have [-8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK -8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:21.0 HINT HINT ES_02 ES_02-6 EG40 5-4 = -8x+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = -8x+0 strategic 2 OK clt -8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 10 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 8 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:47.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 11 INITIAL_HINT Above, you have [-8x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:56:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 OK -8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-4 = -8x+0 strategic 3 OK clt 5-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -8x+0 strategic 6 OK clt -8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:26.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:27.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -8x+0 strategic 9 OK clt -8x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 11 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 9 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:57:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:58:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 OK -8x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:58:12.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 10 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session36 2005-11-22 13:58:14.0 HINT HINT ES_02 ES_02-6 EG40 1 = -8x+0 strategic 11 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:28:58.0 HINT HINT ES_02 ES_02-6 EG40 -10 = 3x+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:28:59.0 HINT HINT ES_02 ES_02-6 EG40 -10 = 3x+2 strategic 2 NEXT_HINT 2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = 3x+2 strategic 3 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:08.0 HINT HINT ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:13.0 HINT HINT ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 2 NEXT_HINT Type in -10-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 3 OK typein -10-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:26.0 HINT HINT ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:29.0 HINT HINT ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 5 NEXT_HINT Type in 3x+2-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 6 OK typein 3x+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-2 = 3x+2-2 strategic 7 OK clt -10-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:29:51.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-10]+[-2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+2-2 strategic 1 OK clt 3x+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:46.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above, you have [3x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:53.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Above, you have [3x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:30:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 3x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:04.0 HINT HINT ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:05.0 HINT HINT ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 3 ERROR mt -12 = 3x+0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 4 ERROR rf -12 = 3x+0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 5 ERROR rds -12 = 3x+0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 6 ERROR distribute -12 = 3x+0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 7 ERROR expon left default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 8 ERROR aproot right default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 9 OK clt 3x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:31:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK 3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 3x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 10 ERROR aproot left default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 11 ERROR aproot both default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 12 ERROR expon right default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 13 ERROR expon left default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 14 ERROR expon both default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:32:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 15 ERROR add 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 16 BUG subtract -12 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 17 ERROR add 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 18 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 19 BUG multiply 3 To remove the coefficient of 3x, you need to divide. Erase your last step and then divide both sides by 3. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12 = 3x+0 strategic 20 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:53.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:33:56.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 2 NEXT_HINT Type in -12/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:34:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 3 OK typein -12/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:34:07.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:34:08.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 5 NEXT_HINT Type in (3x+0)/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:34:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 6 BUG typein 3x/3 Just divide 3x+0 by 3. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:34:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 7 ERROR typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:36:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 8 ERROR typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:37:25.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:37:29.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 10 NEXT_HINT Type in (3x+0)/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:39:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = (3x+0)/3 strategic 11 OK typein x+0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:39:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 1 OK clt x+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:39:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:39:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:39:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:18.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:19.0 HINT HINT ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 4 ERROR divide 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 5 ERROR divide 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:52.0 HINT HINT ES_02 ES_02-6 EG40 (-12/3)/6 = (x+0)/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:40:56.0 HINT HINT ES_02 ES_02-6 EG40 (-12/3)/6 = (x+0)/6 strategic 2 NEXT_HINT Type in (-12/3)/6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:41:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 6 ERROR divide 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:41:55.0 HINT HINT ES_02 ES_02-6 EG40 (-12/3)/4 = (x+0)/4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:41:56.0 HINT HINT ES_02 ES_02-6 EG40 (-12/3)/4 = (x+0)/4 strategic 2 NEXT_HINT Type in (-12/3)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -12/3 = x+0 strategic 7 OK rf -12/3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK -4 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:54.0 HINT HINT ES_02 ES_02-6 EG40 -4 = x+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:42:55.0 HINT HINT ES_02 ES_02-6 EG40 -4 = x+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 3 OK clt x+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 4 BUG divide -4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 5 ERROR subtract x default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:29.0 HINT HINT ES_02 ES_02-6 EG40 -4-x = x+0-x strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:30.0 HINT HINT ES_02 ES_02-6 EG40 -4-x = x+0-x strategic 2 NEXT_HINT Type in -4-x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:43:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 6 ERROR add x default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 7 ERROR mt -4 = x+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 8 OK clt x+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:50:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:51:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 9 OK clt x+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:51:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 10 BUG subtract -4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:52:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 11 OK clt x+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session37 2005-11-23 08:53:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = x+0 strategic 12 ERROR mt -4 = x+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:42:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-9y = 4 strategic 1 ERROR subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:42:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-9y = 4 strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:42:34.0 HINT HINT ES_02 ES_02-6 EG40 (-7-9y)/-9 = 4/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:42:43.0 HINT HINT ES_02 ES_02-6 EG40 (-7-9y)/-9 = 4/-9 strategic 2 NEXT_HINT Type in (-7-9y)/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:43:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-7-9y)/-9 = 4/-9 strategic 3 ERROR typein -7-9y/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:25.0 HINT HINT ES_02 ES_02-6 EG40 5 = -3x+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:27.0 HINT HINT ES_02 ES_02-6 EG40 5 = -3x+8 strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -3x+8 strategic 3 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:37.0 HINT HINT ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:50.0 HINT HINT ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 2 NEXT_HINT Type in 5-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 3 OK typein 5-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:53:58.0 HINT HINT ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:02.0 HINT HINT ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 5 NEXT_HINT Type in -3x+8-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 6 OK typein -3x+8-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-8 = -3x+8-8 strategic 7 OK clt 5-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:26.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [5]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -3x+8-8 strategic 1 OK clt -3x+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:54:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:13.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above, you have [-3x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -3x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -3x+0 strategic 1 OK clt -3x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:55:56.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT Above, you have [-3x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 13:56:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -3x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:09:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -3x+0 strategic 2 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:15:41.0 HINT HINT ES_02 ES_02-6 EG40 -7x+3 = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:15:43.0 HINT HINT ES_02 ES_02-6 EG40 -7x+3 = 4 strategic 2 NEXT_HINT 3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:15:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+3 = 4 strategic 3 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:15:58.0 HINT HINT ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:15:59.0 HINT HINT ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 2 NEXT_HINT Type in -7x+3-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 3 OK typein -7x+3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:23.0 HINT HINT ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:25.0 HINT HINT ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 5 NEXT_HINT Type in 4-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 6 OK typein 4-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+3-3 = 4-3 strategic 7 OK clt -7x+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -7x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -7x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:16:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:17:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:17:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -7x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:17:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x+0 = 4-3 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:17:32.0 HINT HINT ES_02 ES_02-6 EG40 (-7x+0)/-7 = (4-3)/-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:17:32.0 HINT HINT ES_02 ES_02-6 EG40 (-7x+0)/-7 = (4-3)/-7 strategic 2 NEXT_HINT Type in (-7x+0)/-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session38 2005-11-23 14:17:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-7x+0)/-7 = (4-3)/-7 strategic 3 BUG typein -7x/-7 Just divide -7x+0 by -7. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:42:47.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 7y-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:42:48.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 7y-8 strategic 2 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:42:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 7y-8 strategic 3 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:42:57.0 HINT HINT ES_02 ES_02-6 EG40 -1-(-8) = 7y-8-(-8) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:42:58.0 HINT HINT ES_02 ES_02-6 EG40 -1-(-8) = 7y-8-(-8) strategic 2 NEXT_HINT Type in -1-(-8) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:43:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-(-8) = 7y-8-(-8) strategic 3 OK typein -1-(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:43:34.0 HINT HINT ES_02 ES_02-6 EG40 -1-(-8) = 7y-8-(-8) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:43:36.0 HINT HINT ES_02 ES_02-6 EG40 -1-(-8) = 7y-8-(-8) strategic 5 NEXT_HINT Type in 7y-8-(-8) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:43:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-(-8) = 7y-8-(-8) strategic 6 OK typein 7y-8-(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:02.0 HINT HINT ES_02 ES_02-6 EG40 -1+8 = 7y-8+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:03.0 HINT HINT ES_02 ES_02-6 EG40 -1+8 = 7y-8+8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1+8 = 7y-8+8 strategic 3 OK clt -1+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:25.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT -9 In the group above, you have [-1]+[8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 7y-8+8 strategic 1 OK clt 7y-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:44:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:03.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT Above, you have [7y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 7y-8+8 strategic 2 OK clt 7y-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 7y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:36.0 HINT HINT ES_02 ES_02-6 EG40 7 = 7y+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:37.0 HINT HINT ES_02 ES_02-6 EG40 7 = 7y+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:45:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 7y+0 strategic 3 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 7y+0 strategic 4 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:04.0 HINT HINT ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:10.0 HINT HINT ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 2 NEXT_HINT Type in 7/7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 3 OK typein 7/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:21.0 HINT HINT ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:22.0 HINT HINT ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 5 NEXT_HINT Type in (7y+0)/7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:46:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 6 BUG typein 7y/7 Just divide 7y+0 by 7. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session39 2005-11-29 11:47:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/7 = (7y+0)/7 strategic 7 ERROR typein 7/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:18:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 3-1y strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:18:53.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:18:54.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 2 NEXT_HINT Type in 3-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 3 OK typein 3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:02.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:04.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 5 NEXT_HINT Type in 3-1y-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 6 OK typein 3-1y-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-1y-3 strategic 7 OK clt 3-3 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-1y-3 strategic 1 OK clt 3-1y-3 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:19:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:12.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select -1y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 6 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 7 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 8 OK -1y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK -1y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:20:58.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT Above, you have [-1y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:21:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -1y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:21:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-1y-3 strategic 2 BUG add 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:21:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-1y-3 strategic 3 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:21:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-1y-3 strategic 4 OK clt 3-1y-3 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:21:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:21:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 9 OK -1y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -1y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -1y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:33.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:34.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 2 NEXT_HINT Type in 0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 3 OK typein 0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:44.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:45.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 5 NEXT_HINT Type in -y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:22:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 6 OK typein -y+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:02.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0+0 strategic 2 OK clt 0-0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:18.0 HINT HINT ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 2 OK clt -y+0+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 10 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 4 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:57.0 HINT HINT ES_02 ES_02-6 EG40 0 = -y+0 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:23:58.0 HINT HINT ES_02 ES_02-6 EG40 0 = -y+0 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:24:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0+0 strategic 3 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:24:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 4 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:24:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 7 OK typein 0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:24:52.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:24:53.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 9 NEXT_HINT Type in -y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 10 OK typein -y+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:04.0 HINT HINT ES_02 ES_02-6 EG40 0+0 = -y+0+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:05.0 HINT HINT ES_02 ES_02-6 EG40 0+0 = -y+0+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 5 OK clt -y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 11 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 5 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:25:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 6 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 11 OK typein 0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:20.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 12 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:22.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 13 NEXT_HINT Type in -y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -y+0-0 strategic 14 OK typein -y+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0+0 = -y+0+0 strategic 3 OK clt 0+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 3 OK clt -y+0+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 12 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:26:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 6 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:27:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:27:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:27:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:27:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:27:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 4 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:27:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 5 BUG add 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:28:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 6 ERROR distribute 0 = -y+0+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:28:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 7 ERROR rds 0 = -y+0+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:28:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 8 ERROR rf 0 = -y+0+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:28:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 9 ERROR mt 0 = -y+0+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:28:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0+0 strategic 10 OK clt -y+0+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:28:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 13 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:29:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 7 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:29:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:29:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:29:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 7 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-1 = (-y+0)/-1 strategic 1 BUG typein y Just divide -y+0 by -1. You can simplify in the next step. BUG default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:21.0 HINT HINT ES_02 ES_02-6 EG40 0/-1 = (-y+0)/-1 strategic 2 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:23.0 HINT HINT ES_02 ES_02-6 EG40 0/-1 = (-y+0)/-1 strategic 3 NEXT_HINT Type in 0/-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 8 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0-0 = 0-0 strategic 1 OK typein -y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:30:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0-0 = 0-0 strategic 2 ERROR typein -y+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0-0 = 0-0 strategic 3 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 9 OK clt -y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -y+0 strategic 10 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0-0 = 0-0 strategic 4 OK typein -y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0-0 = 0-0 strategic 5 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y = 0 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:31:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y/-1 = 0/-1 strategic 1 OK typein y default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y/-1 = 0/-1 strategic 2 OK typein 0/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 9+3y strategic 1 ERROR clt -7 = 9+3y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:17.0 HINT HINT ES_02 ES_02-6 EG40 -7 = 9+3y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:18.0 HINT HINT ES_02 ES_02-6 EG40 -7 = 9+3y strategic 3 NEXT_HINT 9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 9+3y strategic 4 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:31.0 HINT HINT ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:31.0 HINT HINT ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 2 NEXT_HINT Type in -7-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 3 OK typein -7-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:55.0 HINT HINT ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:32:56.0 HINT HINT ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 5 NEXT_HINT Type in 9+3y-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 6 OK typein 9+3y-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-9 = 9+3y-9 strategic 7 OK clt -7-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:21.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-7]+[-9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -16 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 9+3y-9 strategic 1 OK clt 9+3y-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:33:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 3y+0 strategic 1 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 3y+0 strategic 2 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:44.0 HINT HINT ES_02 ES_02-6 EG40 -16/3 = (3y+0)/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:45.0 HINT HINT ES_02 ES_02-6 EG40 -16/3 = (3y+0)/3 strategic 2 NEXT_HINT Type in -16/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = (3y+0)/3 strategic 3 OK typein -16/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:55.0 HINT HINT ES_02 ES_02-6 EG40 -16/3 = (3y+0)/3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:34:55.0 HINT HINT ES_02 ES_02-6 EG40 -16/3 = (3y+0)/3 strategic 5 NEXT_HINT Type in (3y+0)/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = (3y+0)/3 strategic 6 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:35:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 3y+0 strategic 3 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:35:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 3y+0 strategic 4 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:35:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16-0 = 3y+0-0 strategic 1 ERROR typein -16/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16-0 = 3y+0-0 strategic 2 OK typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16-0 = 3y+0-0 strategic 3 OK typein 3y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 3y strategic 1 ERROR mt -16 = 3y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = 3y strategic 2 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 1 OK typein -16/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:48.0 HINT HINT ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:49.0 HINT HINT ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 3 NEXT_HINT Type in 3y/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 4 OK typein 3y/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:36:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 5 ERROR clt -16/3 = 3y/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:37:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 6 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:37:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG y= y=
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:37:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/3 = 3y/3 strategic 7 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:38:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG y=-16/3 y=-16/3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:38:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG y=-16/3 y=-16/3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:38:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 BUG y=-16/3 y=-16/3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:39:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2 = 7 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:00.0 HINT HINT ES_02 ES_02-6 EG40 4x-2-(-2) = 7-(-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:03.0 HINT HINT ES_02 ES_02-6 EG40 4x-2-(-2) = 7-(-2) strategic 2 NEXT_HINT Type in 4x-2-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2-(-2) = 7-(-2) strategic 3 OK typein 4x-2-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:18.0 HINT HINT ES_02 ES_02-6 EG40 4x-2-(-2) = 7-(-2) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:19.0 HINT HINT ES_02 ES_02-6 EG40 4x-2-(-2) = 7-(-2) strategic 5 NEXT_HINT Type in 7-(-2) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2-(-2) = 7-(-2) strategic 6 OK typein 7-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2+2 = 7+2 strategic 1 OK clt 4x-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:40:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:41:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:41:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:41:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:41:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:42:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 4x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:42:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:42:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:43:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x+0 = 7+2 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:43:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2+2 = 7+2 strategic 2 OK clt 4x-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:43:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:43:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:43:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 4x-0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0 = 7+2 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 2 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 3 ERROR typein -0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:53.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:44:54.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 5 NEXT_HINT Type in 4x-0-(-0) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:45:38.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:45:39.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 7 NEXT_HINT Type in 4x-0-(-0) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:45:55.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:45:56.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 9 NEXT_HINT Type in 4x-0-(-0) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 10 OK typein 4x-0-(-0) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:17.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 11 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:19.0 HINT HINT ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 12 NEXT_HINT Type in 7+2-(-0) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0-(-0) = 7+2-(-0) strategic 13 OK typein 7+2-(-0) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-0+0 = 7+2+0 strategic 1 OK clt 4x-0+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:46:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:47:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:47:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:47:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:47:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 4X+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:47:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4X+0 = 7+2+0 strategic 1 ERROR subtract 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:47:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4X+0 = 7+2+0 strategic 2 ERROR subtract 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4X+0 = 7+2+0 strategic 3 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4X+0 = 7+2+0 strategic 4 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:25.0 HINT HINT ES_02 ES_02-6 EG40 (4X+0)/4 = (7+2+0)/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:27.0 HINT HINT ES_02 ES_02-6 EG40 (4X+0)/4 = (7+2+0)/4 strategic 2 NEXT_HINT Type in (4X+0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4X+0)/4 = (7+2+0)/4 strategic 3 ERROR typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4X+0)/4 = (7+2+0)/4 strategic 4 ERROR typein -4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:48:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4X+0)/4 = (7+2+0)/4 strategic 5 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4X+0 = 7+2+0 strategic 5 OK clt 4X+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 OK 4X default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 4x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:50:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x = 7+2+0 strategic 1 OK clt 7+2+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:14.0 HINT HINT ES_02 ES_02-6 EG40 4x = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:15.0 HINT HINT ES_02 ES_02-6 EG40 4x = 9 strategic 2 NEXT_HINT 4x is 4 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x = 9 strategic 3 BUG divide 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:25.0 HINT HINT ES_02 ES_02-6 EG40 4x = 9 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:26.0 HINT HINT ES_02 ES_02-6 EG40 4x = 9 strategic 5 NEXT_HINT 4x is 4 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x = 9 strategic 6 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:39.0 HINT HINT ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:40.0 HINT HINT ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 2 NEXT_HINT Type in 4x/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 3 OK typein 4x/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:50.0 HINT HINT ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:51.0 HINT HINT ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 5 NEXT_HINT Type in 9/4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:51:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 6 OK typein 9/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:52:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 7 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:52:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 8 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:52:15.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 4 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:52:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG 4x 4x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:52:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:53:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 9 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:53:13.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session40 2005-11-30 08:54:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = 9/4 strategic 10 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:23:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 1 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:23:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 2 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 3 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 4 ERROR multiply 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:13.0 HINT HINT ES_02 ES_02-6 EG40 9-7y = 3 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:14.0 HINT HINT ES_02 ES_02-6 EG40 9-7y = 3 strategic 6 NEXT_HINT 9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 7 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:27.0 HINT HINT ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:36.0 HINT HINT ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 2 NEXT_HINT Type in 9-7y-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 3 OK typein 9-7y-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:49.0 HINT HINT ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:50.0 HINT HINT ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 5 NEXT_HINT Type in 3-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:24:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 6 OK typein 3-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 7 OK clt 9-7y-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:15.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select -7y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 8 OK clt 9-7y-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:25:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK -7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:07.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above, you have [-7y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -7y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0 = 3-9 strategic 1 OK clt 3-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:29.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [3]+[-9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0 = -6 strategic 1 OK clt -7y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:26:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -7y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0 = -6 strategic 2 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:19.0 HINT HINT ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:21.0 HINT HINT ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 2 NEXT_HINT Type in -7y+0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 3 OK typein -7y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:46.0 HINT HINT ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:47.0 HINT HINT ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 5 NEXT_HINT Type in -6-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 6 OK typein -6-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:27:59.0 HINT HINT ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:00.0 HINT HINT ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6-0 strategic 9 OK clt -6-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:13.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT 0 In the group above, you have [-6]+[-0]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6 strategic 1 ERROR add -7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:28:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6 strategic 2 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6 strategic 3 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session41 2005-12-05 11:29:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y+0-0 = -6 strategic 4 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -4y+10 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:03.0 HINT HINT ES_02 ES_02-6 EG40 3-10 = -4y+10-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:06.0 HINT HINT ES_02 ES_02-6 EG40 3-10 = -4y+10-10 strategic 2 NEXT_HINT Type in 3-10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-10 = -4y+10-10 strategic 3 OK typein 3-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:14.0 HINT HINT ES_02 ES_02-6 EG40 3-10 = -4y+10-10 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:15.0 HINT HINT ES_02 ES_02-6 EG40 3-10 = -4y+10-10 strategic 5 NEXT_HINT Type in -4y+10-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-10 = -4y+10-10 strategic 6 OK typein -4y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-10 = -4y+0-0 strategic 1 OK clt 3-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:21:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:02.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT -13 In the group above, you have [3]+[-10]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -4y+0-0 strategic 1 OK clt -4y+0-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:22:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -4y-0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -4y-0 strategic 1 ERROR subtract -4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -4y-0 strategic 2 OK add 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:53.0 HINT HINT ES_02 ES_02-6 EG40 -7+0 = -4y-0+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:23:54.0 HINT HINT ES_02 ES_02-6 EG40 -7+0 = -4y-0+0 strategic 2 NEXT_HINT Type in -7+0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:24:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+0 = -4y-0+0 strategic 3 OK typein -7+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:24:06.0 HINT HINT ES_02 ES_02-6 EG40 -7+0 = -4y-0+0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:24:07.0 HINT HINT ES_02 ES_02-6 EG40 -7+0 = -4y-0+0 strategic 5 NEXT_HINT Type in -4y-0+0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:24:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+0 = -4y-0+0 strategic 6 OK typein -4y-0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:24:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -4y-0 strategic 3 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:06.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:16.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:17.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 3 NEXT_HINT Type in -7/-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 4 OK typein -7/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:31.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:31.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 6 NEXT_HINT Type in (-4y-0)/-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:41.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:25:42.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 8 NEXT_HINT Type in (-4y-0)/-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:26:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 9 BUG typein -4y/-4 Just divide -4y-0 by -4. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = (-4y-0)/-4 strategic 10 OK typein y+0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 1 OK clt y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 2 ERROR subtract -7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:54.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:54.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 4 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:27:58.0 HINT HINT ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 5 NEXT_HINT Simplify fractions on the left side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 6 OK rf -7/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 7 OK clt y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:28:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = y+0 strategic 8 OK clt y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:29:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:29:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-4 = y strategic 1 OK rf -7/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:29:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK 7/4 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:29:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-2x = 3 strategic 1 ERROR subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:29:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-2x = 3 strategic 2 OK add -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:02.0 HINT HINT ES_02 ES_02-6 EG40 8-2x+(-8) = 3+(-8) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:03.0 HINT HINT ES_02 ES_02-6 EG40 8-2x+(-8) = 3+(-8) strategic 2 NEXT_HINT Type in 8-2x+(-8) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-2x+(-8) = 3+(-8) strategic 3 OK typein 8-2x+(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:32.0 HINT HINT ES_02 ES_02-6 EG40 8-2x+(-8) = 3+(-8) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:33.0 HINT HINT ES_02 ES_02-6 EG40 8-2x+(-8) = 3+(-8) strategic 5 NEXT_HINT Type in 3+(-8) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-2x+(-8) = 3+(-8) strategic 6 OK typein 3+(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-2x-8 = 3-8 strategic 1 OK clt 8-2x-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG 8 8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 8, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:30:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -2x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 2 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:47.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:31:48.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 5 OK clt 3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 6 OK clt -2x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:32:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -2x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = 3-8 strategic 7 OK clt 3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:11.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT In the group above, you have [3]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 1 BUG subtract -5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 2 OK add 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:47.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:33:49.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 2 NEXT_HINT Type in -2x+0+0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 3 OK typein -2x+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:11.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:11.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 5 NEXT_HINT Type in -5+0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 6 OK typein -5+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0+0 = -5+0 strategic 7 OK clt -5+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:30.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 12 INITIAL_HINT In the group above, you have [-5]+[0]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:34:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 3 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:12.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:14.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 2 NEXT_HINT Type in -2x+0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 3 OK typein -2x+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:28.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:29.0 HINT HINT ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 5 NEXT_HINT Type in -5-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 6 OK typein -5-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 4 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:58.0 HINT HINT ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:35:59.0 HINT HINT ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 2 NEXT_HINT Type in (-2x+0)/-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:36:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 3 ERROR typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:36:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 4 BUG typein x Just divide -2x+0 by -2. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:36:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 5 ERROR typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:36:34.0 HINT HINT ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:36:35.0 HINT HINT ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 7 NEXT_HINT Type in (-2x+0)/-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:40:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 8 ERROR typein -2+0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:40:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-2x+0)/-2 = -5/-2 strategic 9 ERROR typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:41:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 5 BUG multiply -2 To remove the coefficient of -2x, you need to divide. Erase your last step and then divide both sides by -2. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:41:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 6 ERROR subtract 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:42:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 7 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:43:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0 = -5 strategic 8 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 7 OK typein -2x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x+0-0 = -5-0 strategic 8 OK typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x = -5 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:19.0 HINT HINT ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:20.0 HINT HINT ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 2 NEXT_HINT Type in -2x/-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 3 ERROR typein -2x-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 4 OK typein -2x/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:43.0 HINT HINT ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:44.0 HINT HINT ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 6 NEXT_HINT Type in -5/-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 7 OK typein -5/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:44:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 8 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 BUG -2 -2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 BUG -2 -2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 BUG -2 -2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 17 BUG -2 -2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:45:54.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 18 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:47:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = -5/-2 strategic 9 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:48:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 19 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:48:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -10y-2 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:48:58.0 HINT HINT ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:48:59.0 HINT HINT ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 2 NEXT_HINT Type in -7-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:23.0 HINT HINT ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:25.0 HINT HINT ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 4 NEXT_HINT Type in -7-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 5 OK typein -7-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:36.0 HINT HINT ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:37.0 HINT HINT ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 7 NEXT_HINT Type in -10y-2-(-2) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-(-2) = -10y-2-(-2) strategic 8 OK typein -10y-2-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:49:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+2 = -10y-2+2 strategic 1 OK clt -7+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+2 = -10y-2+2 strategic 2 OK clt -7+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -10y-2+2 strategic 1 BUG divide -5 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -10y-2+2 strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:47.0 HINT HINT ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:48.0 HINT HINT ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 2 NEXT_HINT Type in -5/-10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:50:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 3 BUG typein -5/10 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:51:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 4 OK typein -5/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:51:07.0 HINT HINT ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:51:08.0 HINT HINT ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 6 NEXT_HINT Type in (-10y-2+2)/-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session42 2005-12-07 08:51:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-10 = (-10y-2+2)/-10 strategic 7 BUG typein -10y/10 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:49:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 8y+4 strategic 1 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 8y+4 strategic 2 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 8y+4 strategic 3 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:11.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:12.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 2 NEXT_HINT Type in -7/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 3 OK typein -7/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:19.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:19.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 5 NEXT_HINT Type in (8y+4)/8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 6 ERROR typein 8y+0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:31.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:32.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 8 NEXT_HINT Type in (8y+4)/8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 9 ERROR typein 8y+4/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:45.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 10 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:50:46.0 HINT HINT ES_02 ES_02-6 EG40 -7/8 = (8y+4)/8 strategic 11 NEXT_HINT Type in (8y+4)/8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:54:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-4y = 0 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:54:14.0 HINT HINT ES_02 ES_02-6 EG40 4-4y-4 = 0-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:54:15.0 HINT HINT ES_02 ES_02-6 EG40 4-4y-4 = 0-4 strategic 2 NEXT_HINT Type in 4-4y-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:59:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+6x = -6 strategic 1 ERROR distribute 4+6x = -6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:59:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+6x = -6 strategic 2 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:59:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+6x = -6 strategic 3 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:59:51.0 HINT HINT ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 13:59:52.0 HINT HINT ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 2 NEXT_HINT Type in (4+6x)/6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:00:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 3 ERROR typein 4+6x/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:00:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 4 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:00:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 5 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:00:58.0 HINT HINT ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:00:59.0 HINT HINT ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 7 NEXT_HINT Type in (4+6x)/6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:01:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 8 ERROR typein 0yhfhyhfghfgf default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session43 2005-12-08 14:03:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4+6x)/6 = -6/6 strategic 9 ERROR typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 09:59:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -9+10x strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 09:59:38.0 HINT HINT ES_02 ES_02-6 EG40 4-(-9) = -9+10x-(-9) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 09:59:39.0 HINT HINT ES_02 ES_02-6 EG40 4-(-9) = -9+10x-(-9) strategic 2 NEXT_HINT Type in 4-(-9) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 09:59:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-9) = -9+10x-(-9) strategic 3 OK typein 4-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 09:59:59.0 HINT HINT ES_02 ES_02-6 EG40 4-(-9) = -9+10x-(-9) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:00:00.0 HINT HINT ES_02 ES_02-6 EG40 4-(-9) = -9+10x-(-9) strategic 5 NEXT_HINT Type in -9+10x-(-9) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:00:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-9) = -9+10x-(-9) strategic 6 OK typein -9+10x-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:00:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+9 = -9+10x+9 strategic 1 OK clt 4+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:00:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:00:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13 = -9+10x+9 strategic 1 OK clt -9+10x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 10x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 10x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:01:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 10x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:07.0 HINT HINT ES_02 ES_02-6 EG40 13 = 10x+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13 = 10x+0 strategic 2 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:17.0 HINT HINT ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:18.0 HINT HINT ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 2 NEXT_HINT Type in 13-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 3 BUG typein -13-0 You need to calculate 13 minus 0, not 0 minus 13. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 4 OK typein 13-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:37.0 HINT HINT ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:38.0 HINT HINT ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 6 NEXT_HINT Type in 10x+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:02:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 7 OK typein 10x+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 8 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 9 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 10 BUG add 13 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 11 ERROR subtract 10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13-0 = 10x+0-0 strategic 12 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:49.0 HINT HINT ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:03:50.0 HINT HINT ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 2 NEXT_HINT Type in (13-0)/10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:05:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 3 BUG typein x Just divide 10x+0-0 by 10. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:06:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 4 BUG typein x+0 Just divide 10x+0-0 by 10. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:06:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 5 BUG typein x+0-0 Just divide 10x+0-0 by 10. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:06:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 6 OK typein (10x+0-0)/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 7 OK typein (13-0)/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 8 OK clt 13-0 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 9 ERROR rf (13-0)/10 = (10x+0-0)/10 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 10 ERROR rds (13-0)/10 = (10x+0-0)/10 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 11 ERROR mt (13-0)/10 = (10x+0-0)/10 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:07:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 12 ERROR rf (13-0)/10 = (10x+0-0)/10 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:08:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (13-0)/10 = (10x+0-0)/10 strategic 13 ERROR multiply 13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 4y+3 strategic 1 ERROR clt 5 = 4y+3 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 4y+3 strategic 2 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:41.0 HINT HINT ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:44.0 HINT HINT ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 2 NEXT_HINT Type in 5-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 3 OK typein 5-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:51.0 HINT HINT ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:10:52.0 HINT HINT ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 5 NEXT_HINT Type in 4y+3-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 6 OK typein 4y+3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 7 OK clt 5-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 8 OK clt 5-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 1 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:11:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 2 BUG add 3 Since 3 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 3 BUG divide 3 You want to isolate 4y by removing 3 from the right side. 3 is added to 4y. What is the opposite of addition? BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 4 ERROR subtract 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 5 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:29.0 HINT HINT ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 6 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:30.0 HINT HINT ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 7 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 4y+3-3 strategic 8 ERROR subtract 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:41.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 4y+3-3-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:42.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 4y+3-3-4 strategic 2 NEXT_HINT Type in 2-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-4 = 4y+3-3-4 strategic 3 OK typein 2-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:50.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 4y+3-3-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:12:51.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 4y+3-3-4 strategic 5 NEXT_HINT Type in 4y+3-3-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+3-3 strategic 9 OK clt 4y+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 4+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:13:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 4y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+0 strategic 1 ERROR subtract 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+0 strategic 2 ERROR add 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-3 = 4y+0 strategic 3 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:17.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:18.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 2 NEXT_HINT Type in (5-3)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:28.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:29.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 4 NEXT_HINT Type in (5-3)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 5 ERROR typein 5-3/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:14:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 6 OK typein (5-3)/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:08.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:09.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 8 NEXT_HINT Type in (4y+0)/4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 9 BUG typein 4y+0 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:19.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 10 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:20.0 HINT HINT ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 11 NEXT_HINT Type in (4y+0)/4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 12 OK typein (4y+0)/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 13 ERROR rf (5-3)/4 = (4y+0)/4 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:15:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 14 ERROR rds (5-3)/4 = (4y+0)/4 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:17:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 15 ERROR mt (5-3)/4 = (4y+0)/4 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:17:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (5-3)/4 = (4y+0)/4 strategic 16 OK clt 5-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:17:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:17:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/4 = (4y+0)/4 strategic 1 OK rf 2/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:17:44.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:17:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/4 = (4y+0)/4 strategic 2 OK clt 4y+0 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:18:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:18:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:18:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:18:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:18:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 4y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:18:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/4 = (4y+0)/4 strategic 3 OK rf 2/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 1/2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/2 = (4y+0)/4 strategic 1 ERROR rf 1/2 = (4y+0)/4 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/2 = (4y+0)/4 strategic 2 OK clt 4y+0 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:19:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:20:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK 4y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:20:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/2 = 4y/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:20:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:21:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10 = -10-9y strategic 1 OK subtract -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:21:09.0 HINT HINT ES_02 ES_02-6 EG40 10-(-10) = -10-9y-(-10) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session44 2005-12-09 10:21:10.0 HINT HINT ES_02 ES_02-6 EG40 10-(-10) = -10-9y-(-10) strategic 2 NEXT_HINT Type in 10-(-10) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:40:55.0 HINT HINT ES_02 ES_02-6 EG40 -10 = 4y-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = 4y-2 strategic 2 ERROR subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = 4y-2 strategic 3 ERROR divide -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = 4y-2 strategic 4 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:27.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:29.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 2 NEXT_HINT Type in -10-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:31.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:32.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 4 NEXT_HINT Type in -10-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:46.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:41:47.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 6 NEXT_HINT Type in -10-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 7 OK typein -10-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:06.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:07.0 HINT HINT ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 9 NEXT_HINT Type in 4y-2-(-2) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-(-2) = 4y-2-(-2) strategic 10 OK typein 4y-2-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10+2 = 4y-2+2 strategic 1 OK clt -10+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:42:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 4y-2+2 strategic 1 OK clt 4y-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 4y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 4y+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:58.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = 4y+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:43:59.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = 4y+0-0 strategic 2 NEXT_HINT Type in -8-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0-0 strategic 3 OK typein -8-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:06.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = 4y+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:06.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = 4y+0-0 strategic 5 NEXT_HINT Type in 4y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0-0 strategic 6 OK typein 4y+0+0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0+0 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0+0 strategic 2 ERROR divide 4y default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0+0 strategic 3 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0+0 strategic 4 ERROR add 4y default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0+0 strategic 5 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:44:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = 4y+0+0 strategic 6 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:03.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:04.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 2 NEXT_HINT Type in (-8-0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:16.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:17.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 4 NEXT_HINT Type in (-8-0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:27.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:27.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 6 NEXT_HINT Type in (-8-0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 7 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:49.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:45:50.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 9 NEXT_HINT Type in (-8-0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:46:07.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 10 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:46:08.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 11 NEXT_HINT Type in (-8-0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:46:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 12 ERROR typein -8-0/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:46:27.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 13 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:46:28.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 14 NEXT_HINT Type in (-8-0)/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:46:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 15 BUG typein -8/4 Just divide -8-0 by 4. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:47:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 16 ERROR typein -8-0/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:47:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 17 BUG typein -8/4 Just divide -8-0 by 4. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:50:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/4 = (4y+0+0)/4 strategic 18 BUG typein -8/4 Just divide -8-0 by 4. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -5y+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:04.0 HINT HINT ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:05.0 HINT HINT ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 2 NEXT_HINT Type in -7-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 3 OK typein -7-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:14.0 HINT HINT ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:15.0 HINT HINT ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 5 NEXT_HINT Type in -5y+1-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 6 OK typein -5y+1-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-1 = -5y+1-1 strategic 7 OK clt -7-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:51:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -5y+1-1 strategic 1 OK clt -5y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -5y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -5y+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:30.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:31.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 2 NEXT_HINT Type in -8-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 3 OK typein -8-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:40.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:41.0 HINT HINT ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 5 NEXT_HINT Type in -5y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:52:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 6 OK typein -5y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 7 OK clt -8-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -5y+0-0 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -5y+0-0 strategic 2 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 8 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 9 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-0 = -5y+0-0 strategic 10 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:52.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/-5 = (-5y+0-0)/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:53:53.0 HINT HINT ES_02 ES_02-6 EG40 (-8-0)/-5 = (-5y+0-0)/-5 strategic 2 NEXT_HINT Type in (-8-0)/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session45 2005-12-14 08:54:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-8-0)/-5 = (-5y+0-0)/-5 strategic 3 BUG typein -8/-5 Just divide -8-0 by -5. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-5 = -7 strategic 1 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:25.0 HINT HINT ES_02 ES_02-6 EG40 -5y-5-(-5) = -7-(-5) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:26.0 HINT HINT ES_02 ES_02-6 EG40 -5y-5-(-5) = -7-(-5) strategic 2 NEXT_HINT Type in -5y-5-(-5) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-5-(-5) = -7-(-5) strategic 3 OK typein -5y-5-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:44.0 HINT HINT ES_02 ES_02-6 EG40 -5y-5-(-5) = -7-(-5) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:45.0 HINT HINT ES_02 ES_02-6 EG40 -5y-5-(-5) = -7-(-5) strategic 5 NEXT_HINT Type in -7-(-5) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:14:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-5-(-5) = -7-(-5) strategic 6 OK typein -7-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-5+5 = -7+5 strategic 1 OK clt -5y-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -5y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-5+5 = -7+5 strategic 2 OK clt -5y-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -5y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:15:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y = -7+5 strategic 1 ERROR subtract 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y = -7+5 strategic 2 ERROR divide 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y = -7+5 strategic 3 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:17.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:18.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 2 NEXT_HINT Type in -5y/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 3 BUG typein -5y/5 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 4 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:40.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:16:41.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 6 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:13.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:15.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 8 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:30.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 9 NEXT_HINT Divide by -5 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:31.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 10 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:35.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 11 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:36.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 12 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:47.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 13 NEXT_HINT Divide by -5 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:17:48.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 14 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:18:21.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 15 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:18:22.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 16 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:19:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 17 ERROR typein -7/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:19:44.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 18 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session46 2005-12-15 11:19:45.0 HINT HINT ES_02 ES_02-6 EG40 -5y/-5 = (-7+5)/-5 strategic 19 NEXT_HINT Type in (-7+5)/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:15:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x = -7 strategic 1 ERROR clt 5-5x = -7 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:15:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x = -7 strategic 2 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:15:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x = -7 strategic 3 ERROR multiply 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:15:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x = -7 strategic 4 BUG add 5 Since 5 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 5 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:15:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x = -7 strategic 5 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x-5 = -7-5 strategic 1 OK typein -5x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:30.0 HINT HINT ES_02 ES_02-6 EG40 5-5x-5 = -7-5 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:31.0 HINT HINT ES_02 ES_02-6 EG40 5-5x-5 = -7-5 strategic 3 NEXT_HINT Type in -7-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-5x-5 = -7-5 strategic 4 OK typein -7-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x = -7-5 strategic 1 OK clt -7-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:16:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x = -12 strategic 1 ERROR add -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x = -12 strategic 2 BUG subtract -5 In -5x, x is multiplied by -5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x = -12 strategic 3 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:32.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:33.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 2 NEXT_HINT Type in -5x/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 3 BUG typein -5x/5 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:42.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:43.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 5 NEXT_HINT Type in -5x/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 6 OK typein -5x/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:56.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:17:58.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 8 NEXT_HINT Type in -12/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:18:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 9 OK typein -12/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:18:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 10 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:18:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:20:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 11 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:20:22.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:20:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 2 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:20:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:21:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:21:11.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:21:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 12 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:22:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -12/-5 strategic 13 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:22:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:22:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -12/-5 strategic 1 OK rf -12/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:23:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 12/5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 3-10y strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:17.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:18.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 2 NEXT_HINT Type in 3-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 3 OK typein 3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:24.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:25.0 HINT HINT ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 5 NEXT_HINT Type in 3-10y-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 6 OK typein 3-10y-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 7 OK clt 3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:24:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 1 ERROR distribute 0 = 3-10y-3 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 2 OK clt 3-10y-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 3 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:25:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 4 BUG divide 3 You want to isolate -10y by removing 3 from the right side. 3 is added to -10y. What is the opposite of addition? BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 5 ERROR subtract -10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 6 ERROR subtract 10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 7 BUG subtract -3 To remove 3 from the right side, you can subtract a positive from it. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 8 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 8 ERROR mt 3-3 = 3-10y-3 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3 = 3-10y-3 strategic 9 OK clt 3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:26:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 3-10y-3 strategic 9 OK clt 3-10y-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 OK -10y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -10y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -10y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -10y+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:48.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:49.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 2 NEXT_HINT Type in 0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 3 OK typein 0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:58.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:27:59.0 HINT HINT ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 5 NEXT_HINT Type in -10y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 6 OK typein -10y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-0 = -10y+0-0 strategic 7 OK clt 0-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -10y+0-0 strategic 1 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -10y+0-0 strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:49.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:50.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 2 NEXT_HINT Type in 0/-10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 3 OK typein 0/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:28:59.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:29:00.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 5 NEXT_HINT Type in (-10y+0-0)/-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:29:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 6 ERROR typein -10y+0-0/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:30:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 7 ERROR typein -10y+0-0/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:30:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 8 BUG typein (-10y)/-10 Your input has extra parentheses. Try entering -10y/-10 instead. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:31:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 9 BUG typein -10y/10 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:31:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 10 BUG typein -10y/-10 Just divide -10y+0-0 by -10. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:32:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 11 BUG typein (-10y)/-10 Your input has extra parentheses. Try entering -10y/-10 instead. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:32:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 12 BUG typein -10y/-10 Just divide -10y+0-0 by -10. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:33:13.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 13 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:33:16.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 14 NEXT_HINT Type in (-10y+0-0)/-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:33:18.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 15 NEXT_HINT Divide by -10 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:33:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 16 ERROR typein -10/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:36:02.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 17 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:36:02.0 HINT HINT ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 18 NEXT_HINT Type in (-10y+0-0)/-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:36:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-10 = (-10y+0-0)/-10 strategic 19 ERROR typein -10y+0-0/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-9y = -8 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:03.0 HINT HINT ES_02 ES_02-6 EG40 -2-9y-(-2) = -8-(-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:05.0 HINT HINT ES_02 ES_02-6 EG40 -2-9y-(-2) = -8-(-2) strategic 2 NEXT_HINT Type in -2-9y-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-9y-(-2) = -8-(-2) strategic 3 OK typein -2-9y-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:26.0 HINT HINT ES_02 ES_02-6 EG40 -2-9y-(-2) = -8-(-2) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:27.0 HINT HINT ES_02 ES_02-6 EG40 -2-9y-(-2) = -8-(-2) strategic 5 NEXT_HINT Type in -8-(-2) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-9y-(-2) = -8-(-2) strategic 6 OK typein -8-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:40:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-9y+2 = -8+2 strategic 1 OK clt -2-9y+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 1 OK clt -9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:41:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 2 ERROR subtract -9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 3 ERROR add -9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 4 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:49.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:50.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 2 NEXT_HINT Type in (-9y+0)/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:42:59.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:00.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 4 NEXT_HINT Type in (-9y+0)/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:10.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:12.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 6 NEXT_HINT Type in (-9y+0)/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 7 ERROR typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:20.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:22.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 9 NEXT_HINT Type in (-9y+0)/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:31.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 10 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:31.0 HINT HINT ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 11 NEXT_HINT Type in (-9y+0)/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 12 ERROR typein -0/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:44:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 5 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:45:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 6 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:45:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 13 BUG typein y Just divide -9y+0 by -9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:45:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-9y+0)/-9 = (-8+2)/-9 strategic 14 BUG typein y-0 Just divide -9y+0 by -9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:46:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -8+2 strategic 7 OK clt -8+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:46:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0 = -6 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0-0 = -6-0 strategic 1 OK typein -9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0-0 = -6-0 strategic 2 ERROR typein -65 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+0-0 = -6-0 strategic 3 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = -6 strategic 1 BUG subtract -9 In -9y, y is multiplied by -9. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = -6 strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:56.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:47:57.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 2 NEXT_HINT Type in -9y/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 3 OK typein -9y/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:06.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:07.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 5 NEXT_HINT Type in -6/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:19.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:20.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 7 NEXT_HINT Type in -6/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 8 OK typein -6/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -6/-9 strategic 9 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:48:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+7y = 9 strategic 1 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+7y = 9 strategic 2 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:14.0 HINT HINT ES_02 ES_02-6 EG40 (-6+7y)/7 = 9/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:15.0 HINT HINT ES_02 ES_02-6 EG40 (-6+7y)/7 = 9/7 strategic 2 NEXT_HINT Type in (-6+7y)/7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-6+7y)/7 = 9/7 strategic 3 ERROR typein -6+7y/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+7y = 9 strategic 3 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:46.0 HINT HINT ES_02 ES_02-6 EG40 (-6+7y)/7 = 9/7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:49:48.0 HINT HINT ES_02 ES_02-6 EG40 (-6+7y)/7 = 9/7 strategic 5 NEXT_HINT Type in (-6+7y)/7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -6+9y strategic 1 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:07.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-6) = -6+9y-(-6) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:08.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-6) = -6+9y-(-6) strategic 2 NEXT_HINT Type in -8-(-6) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-6) = -6+9y-(-6) strategic 3 OK typein -8 -(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:24.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-6) = -6+9y-(-6) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:25.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-6) = -6+9y-(-6) strategic 5 NEXT_HINT Type in -6+9y-(-6) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:51:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-6) = -6+9y-(-6) strategic 6 OK typein -6+9y-(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+6 = -6+9y+6 strategic 1 OK clt -8+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -14 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 14 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 14 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -6+9y+6 strategic 1 OK clt -6+9y+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:52:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 9y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 9y+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:16.0 HINT HINT ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:17.0 HINT HINT ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 2 NEXT_HINT Type in -2-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 3 OK typein -2-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:26.0 HINT HINT ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:26.0 HINT HINT ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 5 NEXT_HINT Type in 9y+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 6 OK typein 9y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-0 = 9y+0-0 strategic 7 OK clt -2-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:53:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 9y+0-0 strategic 1 ERROR subtract 9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 9y+0-0 strategic 2 ERROR add 9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 9y+0-0 strategic 3 BUG multiply 9 To remove the coefficient of 9y, you need to divide. Erase your last step and then divide both sides by 9. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 9y+0-0 strategic 4 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:39.0 HINT HINT ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:41.0 HINT HINT ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 2 NEXT_HINT Type in -2/9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 3 OK typein -2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:49.0 HINT HINT ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:54:50.0 HINT HINT ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 5 NEXT_HINT Type in (9y+0-0)/9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:55:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 6 ERROR typein 9y+0/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session47 2005-12-16 08:55:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/9 = (9y+0-0)/9 strategic 7 BUG typein 9y/9 Just divide 9y+0-0 by 9. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 1 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 2 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:10.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:11.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 2 NEXT_HINT Type in (1+8y)/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:23.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:24.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 4 NEXT_HINT Type in (1+8y)/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:17:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 5 ERROR typein 1+8y/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:18:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 3 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:18:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 4 BUG multiply 8 To remove the coefficient of 8y, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:18:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 5 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:18:22.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:18:23.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 7 NEXT_HINT Type in (1+8y)/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:18:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 8 ERROR typein 8/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:01.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:17.0 HINT HINT ES_02 ES_02-6 EG40 1+8y = 2 strategic 6 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:18.0 HINT HINT ES_02 ES_02-6 EG40 1+8y = 2 strategic 7 NEXT_HINT 1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 8 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:30.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 10 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:31.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 11 NEXT_HINT Type in (1+8y)/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:40.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 12 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8y = 2 strategic 9 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 13 ERROR typein 88888888888 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:53.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 14 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:19:54.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 15 NEXT_HINT Type in (1+8y)/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:20:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 16 ERROR typein 1+8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:20:15.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 17 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:20:16.0 HINT HINT ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 18 NEXT_HINT Type in (1+8y)/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:20:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (1+8y)/8 = 2/8 strategic 19 ERROR typein 0/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:22:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:22:55.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:22:56.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 2 NEXT_HINT Type in 3-3y-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 3 OK typein 3-3y-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:17.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:19.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 5 NEXT_HINT Type in 10-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 6 OK typein 10-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 7 OK clt 3-3y-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:23:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 2 OK clt -3y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 3 OK clt 10-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:45.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:45.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 2 NEXT_HINT Type in -3y+0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:24:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 3 OK typein -3y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:01.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:02.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 5 NEXT_HINT Type in 7-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 6 OK typein 7-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 7 OK clt -3y+0-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 ERROR -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK -0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:25:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:26:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7-0 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:26:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7-0 strategic 2 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:26:11.0 HINT HINT ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:26:11.0 HINT HINT ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 2 NEXT_HINT Type in (-3y+0)/-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:26:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 3 ERROR typein -3+0/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:27:03.0 HINT HINT ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:27:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 5 ERROR typein -3/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:39:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 6 BUG typein 3y/3 Just divide -3y+0 by -3. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:39:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 2 BUG divide 3 You want to isolate -3y by removing 3 from the left side. 3 is added to -3y. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:39:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 3 BUG divide 3 You want to isolate -3y by removing 3 from the left side. 3 is added to -3y. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:39:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 4 ERROR multiply 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 5 BUG add 3 Since 3 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 6 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 7 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:16.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:17.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 9 NEXT_HINT Type in 3-3y-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 10 OK typein 3-3-3y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:27.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 11 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:29.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 12 NEXT_HINT Type in 10-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 13 OK typein 10-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3-3y = 10-3 strategic 1 OK clt 3-3-3y default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 4 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:40:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 4 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 5 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 6 OK clt -3y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 5 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK +0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 7 OK clt 10-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:41:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7 strategic 2 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:03.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:04.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 9 NEXT_HINT Type in -3y+0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 10 OK typein -3y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:15.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 11 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:16.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 12 NEXT_HINT Type in 7-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 13 OK typein 7-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 14 OK clt -3y+0-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 4 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 5 OK -0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 6 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:42:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 ERROR -3+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7-0 strategic 3 ERROR subtract -3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7-0 strategic 4 ERROR add -3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7-0 strategic 5 BUG multiply -3 To remove the coefficient of -3y, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7-0 strategic 6 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:34.0 HINT HINT ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:34.0 HINT HINT ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 8 NEXT_HINT Type in (-3y+0)/-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:43:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-3y+0)/-3 = (7-0)/-3 strategic 9 BUG typein -3y/3 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y = 10 strategic 8 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:12.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 14 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:14.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 15 NEXT_HINT Type in 3-3y-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 16 OK typein 3-3y-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:20.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 17 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:22.0 HINT HINT ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 18 NEXT_HINT Type in 10-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 19 OK typein 10-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 20 OK clt 3-3y-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 6 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 5 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 6 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 7 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK -3y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 10-3 strategic 8 OK clt 10-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:44:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0 = 7 strategic 3 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:17.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 15 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:18.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 16 NEXT_HINT Type in -3y+0-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 17 OK typein -3y+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:27.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 18 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:28.0 HINT HINT ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 19 NEXT_HINT Type in 7-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3y+0-0 = 7-0 strategic 20 OK typein 7-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 10-3 strategic 21 OK clt 10-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:45:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 1 BUG divide 3 You want to isolate -3y by removing 3 from the left side. 3 is added to -3y. What is the opposite of addition? BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:46:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 2 ERROR multiply 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:46:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 3 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:46:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 4 BUG add 3 Since 3 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:46:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 5 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:46:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 6 BUG subtract -3 To remove 3 from the left side, you can subtract a positive from it. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:46:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-3y-3 = 7 strategic 7 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:48:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+7 = 3 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:48:51.0 HINT HINT ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:48:52.0 HINT HINT ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 2 NEXT_HINT Type in 7x+7-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 3 OK typein 7x+7-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:01.0 HINT HINT ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:02.0 HINT HINT ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 5 NEXT_HINT Type in 3-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 6 OK typein 3-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+7-7 = 3-7 strategic 7 OK clt 7x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 7x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 7x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:49:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 7x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:50:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = 3-7 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:50:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = 3-7 strategic 2 ERROR subtract 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:50:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = 3-7 strategic 3 BUG multiply 7 To remove the coefficient of 7x, you need to divide. Erase your last step and then divide both sides by 7. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:50:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = 3-7 strategic 4 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:51:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = 3-7 strategic 5 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:52:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = 3-7 strategic 6 OK clt 3-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:52:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:52:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0 = -4 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0-0 = -4-0 strategic 1 OK typein 7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+0-0 = -4-0 strategic 2 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x = -4 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:15.0 HINT HINT ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:16.0 HINT HINT ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 2 NEXT_HINT Type in 7x/7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 3 OK typein 7x/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:25.0 HINT HINT ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:26.0 HINT HINT ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 5 NEXT_HINT Type in -4/7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 6 OK typein -4/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:53:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -4/7 strategic 7 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG 7x 7x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG 7x 7x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG 7x 7x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG 7x 7x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session48 2005-12-21 08:54:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 BUG 7x 7x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -4y-10 strategic 1 ERROR subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -4y-10 strategic 2 ERROR add -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -4y-10 strategic 3 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:19.0 HINT HINT ES_02 ES_02-6 EG40 -6/-4 = (-4y-10)/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:19.0 HINT HINT ES_02 ES_02-6 EG40 -6/-4 = (-4y-10)/-4 strategic 2 NEXT_HINT Type in -6/-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-4 = (-4y-10)/-4 strategic 3 OK typein -6/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:29.0 HINT HINT ES_02 ES_02-6 EG40 -6/-4 = (-4y-10)/-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:29.0 HINT HINT ES_02 ES_02-6 EG40 -6/-4 = (-4y-10)/-4 strategic 5 NEXT_HINT Type in (-4y-10)/-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session49 2006-01-03 11:53:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-4 = (-4y-10)/-4 strategic 6 ERROR typein -4y-10/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:29:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -3y-5 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:29:43.0 HINT HINT ES_02 ES_02-6 EG40 -3/-3 = (-3y-5)/-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:29:45.0 HINT HINT ES_02 ES_02-6 EG40 -3/-3 = (-3y-5)/-3 strategic 2 NEXT_HINT Type in -3/-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:29:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-3 = (-3y-5)/-3 strategic 3 OK typein -3/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:29:51.0 HINT HINT ES_02 ES_02-6 EG40 -3/-3 = (-3y-5)/-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:29:52.0 HINT HINT ES_02 ES_02-6 EG40 -3/-3 = (-3y-5)/-3 strategic 5 NEXT_HINT Type in (-3y-5)/-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:30:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-3 = (-3y-5)/-3 strategic 6 ERROR typein -3y/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:32:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -3y-5 strategic 2 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:32:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -3y-5 strategic 3 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:32:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+5 = -3y-5+5 strategic 1 OK typein -3y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:32:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+5 = -3y-5+5 strategic 2 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:32:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -3y strategic 1 ERROR clt 2 = -3y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -3y strategic 2 BUG subtract -3 In -3y, y is multiplied by -3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -3y strategic 3 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:17.0 HINT HINT ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:19.0 HINT HINT ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 2 NEXT_HINT Type in 2/-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 3 OK typein 2/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:25.0 HINT HINT ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:26.0 HINT HINT ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 5 NEXT_HINT Type in -3y/-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 6 BUG typein -3y/3 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:38.0 HINT HINT ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:39.0 HINT HINT ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 8 NEXT_HINT Type in -3y/-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 9 OK typein -3y/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:33:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/-3 = -3y/-3 strategic 10 OK rf 2/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:01.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above is the simplified form of the expression 2/-3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -2/3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/3 = -3y/-3 strategic 1 ERROR clt -2/3 = -3y/-3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/3 = -3y/-3 strategic 2 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG -3 -3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:40.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:34:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG -3 -3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:35:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/3 = -3y/-3 strategic 3 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:36:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 BUG -3y+2 -3y+2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:37:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:37:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 BUG -2y -2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:37:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 BUG 2y 2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:37:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 BUG 3y 3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:37:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/3 = -3y/-3 strategic 4 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:39:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 BUG -2-3y -2-3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:39:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/3 = -3y/-3 strategic 5 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:45:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 BUG - -
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:45:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/3 = -3y/-3 strategic 6 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 17 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 18 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 19 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 20 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 21 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 22 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 23 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 24 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 25 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 26 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 27 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 28 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 29 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 30 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 31 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 32 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:47:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 33 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 34 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 35 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 36 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 37 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 38 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 39 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 40 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 41 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 42 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 43 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 44 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 45 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 46 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 47 BUG -3y+3 -3y+3
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:48:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 48 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:49:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 49 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:49:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 1 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:49:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 2 BUG divide 3 You want to isolate 2x by removing 3 from the right side. 3 is added to 2x. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:49:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 3 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:49:53.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:49:55.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 2 NEXT_HINT Type in 9-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 3 OK typein 9-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:05.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:06.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 5 NEXT_HINT Type in 3+2x-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:15.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:16.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 7 NEXT_HINT Type in 3+2x-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:25.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:31.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 9 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:32.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 10 NEXT_HINT Type in 3+2x-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 11 OK typein 3+2x-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:50:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 12 ERROR rf 9-3 = 3+2x-3 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 13 OK clt 9-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 3+2x-3 strategic 1 OK clt 3+2x-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 2x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 2x+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:50.0 HINT HINT ES_02 ES_02-6 EG40 6-0 = 2x+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:52.0 HINT HINT ES_02 ES_02-6 EG40 6-0 = 2x+0-0 strategic 2 NEXT_HINT Type in 6-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-0 = 2x+0-0 strategic 3 OK typein 6-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:51:59.0 HINT HINT ES_02 ES_02-6 EG40 6-0 = 2x+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:00.0 HINT HINT ES_02 ES_02-6 EG40 6-0 = 2x+0-0 strategic 5 NEXT_HINT Type in 2x+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-0 = 2x+0-0 strategic 6 OK typein 2x-0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 4 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 5 ERROR add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 6 BUG multiply 2 To remove the coefficient of 2x, you need to divide. Erase your last step and then divide both sides by 2. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 7 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:35.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:36.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 2 NEXT_HINT Type in 9/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 3 ERROR typein 9-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:43.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:44.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 5 NEXT_HINT Type in 9/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 6 OK typein 9/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:51.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:52:52.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 8 NEXT_HINT Type in (3+2x)/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:04.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:14.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 10 NEXT_HINT Type in (3+2x)/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 11 ERROR typein 3+2x/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:29.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 12 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:30.0 HINT HINT ES_02 ES_02-6 EG40 9/2 = (3+2x)/2 strategic 13 NEXT_HINT Type in (3+2x)/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 8 BUG add 3 Since 3 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 3+2x strategic 9 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:56.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 14 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:53:57.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 15 NEXT_HINT Type in 9-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 16 OK typein 9-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:03.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 17 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:04.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 18 NEXT_HINT Type in 3+2x-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 19 BUG typein 3+2x+3 3+2x+3 is equal to 3+2x plus 3. You need to calculate 3+2x minus 3. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:14.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 20 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:15.0 HINT HINT ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 21 NEXT_HINT Type in 3+2x-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 22 OK typein 3+2x-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-3 = 3+2x-3 strategic 23 OK clt 9-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 3+2x-3 strategic 2 ERROR subtract 3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 3+2x-3 strategic 3 ERROR add 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:54:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 3+2x-3 strategic 4 BUG multiply 2 To remove the coefficient of 2x, you need to divide. Erase your last step and then divide both sides by 2. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:55:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 3+2x-3 strategic 5 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:55:03.0 HINT HINT ES_02 ES_02-6 EG40 6/2 = (3+2x-3)/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:55:04.0 HINT HINT ES_02 ES_02-6 EG40 6/2 = (3+2x-3)/2 strategic 2 NEXT_HINT Type in 6/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:55:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/2 = (3+2x-3)/2 strategic 3 OK typein 6/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:55:11.0 HINT HINT ES_02 ES_02-6 EG40 6/2 = (3+2x-3)/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session50 2006-01-06 08:55:11.0 HINT HINT ES_02 ES_02-6 EG40 6/2 = (3+2x-3)/2 strategic 5 NEXT_HINT Type in (3+2x-3)/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:16:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -7-2x strategic 1 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -7-2x strategic 2 BUG add -7 To remove -7 from the right side, you can add a positive to it. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -7-2x strategic 3 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:19.0 HINT HINT ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:20.0 HINT HINT ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 2 NEXT_HINT Type in -3+7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 3 OK typein -3+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:28.0 HINT HINT ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:29.0 HINT HINT ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 5 NEXT_HINT Type in -7-2x+7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:17:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 6 OK typein -7-2x+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 7 OK clt -3+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 1 OK clt -7-2x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:18:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -2x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -2x+0 strategic 1 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:23.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:24.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 2 NEXT_HINT Type in 4-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 3 OK typein 4-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:33.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:34.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 5 NEXT_HINT Type in -2x+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 6 OK typein -2x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:19:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-0 = -2x strategic 1 OK clt 4-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:02.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-0 = -2x strategic 3 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+7 = -7-2x+7 strategic 8 OK clt -3+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 2 OK clt -7-2x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -2x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:20:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -2x+0 strategic 2 OK subtract 0 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:01.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:02.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 8 NEXT_HINT Type in 4-0 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 9 OK typein 4-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:08.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 10 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:10.0 HINT HINT ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 11 NEXT_HINT Type in -2x+0-0 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-0 = -2x+0-0 strategic 12 OK typein -2x+0-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 3 BUG subtract 7 Since -7 is negative, you should add to remove it from the right side. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 4 ERROR add 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:21:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 5 BUG add -7 To remove -7 from the right side, you can add a positive to it. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:22:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 6 ERROR add 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:23:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 7 ERROR rf 4 = -7-2x+7 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:24:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 8 ERROR subtract -2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:24:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 9 ERROR add -2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:24:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 10 ERROR multiply 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:24:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 11 ERROR divide 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:24:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 12 ERROR divide -7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:24:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 13 BUG divide 7 You want to isolate -2x by removing -7 from the right side. 7 is subtracted from -2x. What is the opposite of subtraction? BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:25:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 14 ERROR add 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:25:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 15 ERROR add 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:27:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -7-2x+7 strategic 16 OK clt -7-2x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:27:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -2x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:27:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -2x strategic 1 BUG subtract -2 In -2x, x is multiplied by -2. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -2x strategic 2 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:06.0 HINT HINT ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:07.0 HINT HINT ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 2 NEXT_HINT Type in 4/-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 3 OK typein 4/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:14.0 HINT HINT ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:15.0 HINT HINT ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 5 NEXT_HINT Type in -2x/-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 6 OK typein -2x/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 7 OK rf 4/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:36.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 8 OK rf 4/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:28:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 9 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:29:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 BUG 0 0
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:29:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 BUG 0 0
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:29:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/-2 = -2x/-2 strategic 10 OK rf 4/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:29:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK -2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:30:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -2x/-2 strategic 1 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:30:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 BUG -2x -2x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:30:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 BUG -2x -2x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:30:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 BUG -2x -2x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:30:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 BUG -2x -2x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -2x/-2 strategic 2 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+2x = 3 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:27.0 HINT HINT ES_02 ES_02-6 EG40 (3+2x)/2 = 3/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:28.0 HINT HINT ES_02 ES_02-6 EG40 (3+2x)/2 = 3/2 strategic 2 NEXT_HINT Type in (3+2x)/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+2x = 3 strategic 2 ERROR add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:32:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+2x = 3 strategic 3 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:33:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+2x = 3 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:33:06.0 HINT HINT ES_02 ES_02-6 EG40 (3+2x)/2 = 3/2 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:33:07.0 HINT HINT ES_02 ES_02-6 EG40 (3+2x)/2 = 3/2 strategic 4 NEXT_HINT Type in (3+2x)/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session51 2006-01-11 08:33:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (3+2x)/2 = 3/2 strategic 5 ERROR typein 3+2x/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-2 = -5 strategic 1 ERROR aproot left default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-2 = -5 strategic 2 ERROR subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-2 = -5 strategic 3 ERROR add -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-2 = -5 strategic 4 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:33.0 HINT HINT ES_02 ES_02-6 EG40 (-6y-2)/-6 = -5/-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:34.0 HINT HINT ES_02 ES_02-6 EG40 (-6y-2)/-6 = -5/-6 strategic 2 NEXT_HINT Type in (-6y-2)/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session53 2006-01-11 11:29:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (-6y-2)/-6 = -5/-6 strategic 3 ERROR typein -6y-2/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -6y-5 strategic 1 ERROR subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -6y-5 strategic 2 ERROR add -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -6y-5 strategic 3 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:48.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:49.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 2 NEXT_HINT Type in 7/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 3 OK typein 7/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:56.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:57:57.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 5 NEXT_HINT Type in (-6y-5)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:58:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 6 ERROR typein -6y-5/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:58:22.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:58:23.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 8 NEXT_HINT Type in (-6y-5)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:59:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 9 OK typein (-6y- 5)/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 13:59:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 10 ERROR clt 7/-6 = (-6y-5)/-6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:00:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 11 OK rf 7/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:00:03.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above is the simplified form of the expression 7/-6. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:00:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -7/6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:00:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 12 ERROR rds 7/-6 = (-6y-5)/-6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:02:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 13 ERROR clt 7/-6 = (-6y-5)/-6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:03:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 14 OK rf (-6y-5)/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:03:05.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression (-6y-5)/-6. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:03:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -(-6y-5)/6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:03:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 1 OK rf 7/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:03:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 7/-6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 2 ERROR clt 7/-6 = -(-6y-5)/6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 3 ERROR add 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:19.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:19.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 5 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:23.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 6 NEXT_HINT Simplify fractions on the left side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:27.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 7 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:28.0 HINT HINT ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 8 NEXT_HINT Simplify fractions on the left side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = -(-6y-5)/6 strategic 9 OK rf 7/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-6 = (-6y-5)/-6 strategic 15 OK rf 7/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG 7/6 7/6
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:04:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 7/-6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 5-5x strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:33.0 HINT HINT ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:34.0 HINT HINT ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 2 NEXT_HINT Type in -6-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 3 OK typein -6-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:41.0 HINT HINT ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:41.0 HINT HINT ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 5 NEXT_HINT Type in 5-5x-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:09:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 6 OK typein 5-5x-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-5 = 5-5x-5 strategic 7 OK clt -6-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:04.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-6]+[-5]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 5-5x-5 strategic 1 OK clt 5-5x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -5x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -5x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -5x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 5-5x-5 strategic 2 OK clt 5-5x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG 5x 5x
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG 5x 5x
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:10:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 5-5x-5 strategic 3 OK clt 5-5x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -5x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -5x strategic 1 ERROR add -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -5x strategic 2 BUG subtract -5 In -5x, x is multiplied by -5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = -5x strategic 3 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:42.0 HINT HINT ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:43.0 HINT HINT ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 2 NEXT_HINT Type in -11/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 3 OK typein -11/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:52.0 HINT HINT ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:11:53.0 HINT HINT ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 5 NEXT_HINT Type in -5x/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 6 OK typein -5x/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/-5 = -5x/-5 strategic 7 OK rf -11/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:11.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT Above is the simplified form of the expression -11/-5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 11/5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11/5 = -5x/-5 strategic 1 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 BUG -5x -5x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 BUG 5x 5x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:12:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -1y-4 strategic 1 BUG subtract -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -1y-4 strategic 2 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:17.0 HINT HINT ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:19.0 HINT HINT ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 2 NEXT_HINT Type in -1/-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 3 OK typein -1/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:26.0 HINT HINT ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:13:27.0 HINT HINT ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 5 NEXT_HINT Type in (-1y-4)/-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 6 OK typein (-1y-4)/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-1 = (-1y-4)/-1 strategic 7 OK rf -1/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 0 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -0 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = (-1y-4)/-1 strategic 1 OK rf (-1y-4)/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:25.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Above is the simplified form of the expression (-y-4)/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -(-y-4) default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:49.0 HINT HINT ES_02 ES_02-6 EG40 1 = -(-y-4) strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:50.0 HINT HINT ES_02 ES_02-6 EG40 1 = -(-y-4) strategic 2 NEXT_HINT In -[-y-4], -y-4 is multiplied by -1. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:53.0 HINT HINT ES_02 ES_02-6 EG40 1 = -(-y-4) strategic 3 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:14:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -(-y-4) strategic 4 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -(-y-4) strategic 5 OK divide -1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:12.0 HINT HINT ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:13.0 HINT HINT ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 2 NEXT_HINT Type in 1/-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 3 OK typein 1/-1 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:23.0 HINT HINT ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:24.0 HINT HINT ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 5 NEXT_HINT Type in -(-y-4)/-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 6 OK typein -(-y-4)/-1 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:53.0 HINT HINT ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:15:54.0 HINT HINT ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:16:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-1 = -(-y-4)/-1 strategic 9 OK rf 1/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:16:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG 1 1
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:16:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:16:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -(-y-4)/-1 strategic 1 OK rf -(-y-4)/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:16:18.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT Above is the simplified form of the expression -(-y-4)/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:16:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -y-4 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:17:44.0 HINT HINT ES_02 ES_02-6 EG40 -1 = -y-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:17:45.0 HINT HINT ES_02 ES_02-6 EG40 -1 = -y-4 strategic 2 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:17:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -y-4 strategic 3 BUG subtract 4 Since -4 is negative, you should add to remove it from the right side. Erase your last step and add 4 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -y-4 strategic 4 BUG add -4 To remove -4 from the right side, you can add a positive to it. Erase your last step and add 4 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -y-4 strategic 5 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:16.0 HINT HINT ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:17.0 HINT HINT ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 2 NEXT_HINT Type in -1+4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 3 OK typein -1+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:28.0 HINT HINT ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:30.0 HINT HINT ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 5 NEXT_HINT Type in -y-4+4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 6 OK typein -y-4+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1+4 = -y-4+4 strategic 7 OK clt -1+4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:18:54.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 12 INITIAL_HINT -5 In the group above, you have [-1]+[4]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -y-4+4 strategic 1 OK clt -y-4+4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 OK -y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:58.0 HINT HINT ES_02 ES_02-6 EG40 3 = -y strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:19:59.0 HINT HINT ES_02 ES_02-6 EG40 3 = -y strategic 2 NEXT_HINT -y is -1 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -y strategic 3 BUG divide -y Dividing anything by itself will leave 1. If you divide -y by -1, y will be left. Erase your last step and then divide by -1. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -y strategic 4 BUG divide 1 In this equation, y is multiplied by -1. Dividing by 1 leaves -y, so you still need to remove the negative sign. It is better to divide by -1, since that would leave y. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -y strategic 5 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:31.0 HINT HINT ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:32.0 HINT HINT ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 2 NEXT_HINT Type in 3/-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 3 OK typein 3/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:40.0 HINT HINT ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:41.0 HINT HINT ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 5 NEXT_HINT Type in -y/-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 6 OK typein -y/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-1 = -y/-1 strategic 7 OK rf 3/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:20:59.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 15 INITIAL_HINT Above is the simplified form of the expression 3/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:21:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 OK -3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:21:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -y/-1 strategic 1 OK rf -y/-1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:21:12.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 17 INITIAL_HINT Above is the simplified form of the expression -y/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session54 2006-01-13 14:21:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 18 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:00:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y-9 = 6 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:00:35.0 HINT HINT ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:00:36.0 HINT HINT ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 2 NEXT_HINT Type in -9y-9+9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:00:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 3 BUG typein -9-9+9 You forgot the y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 4 OK typein -9y-9+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:03.0 HINT HINT ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:04.0 HINT HINT ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 6 NEXT_HINT Type in 6+9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 7 OK typein 6+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y-9+9 = 6+9 strategic 8 OK clt -9y-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:01:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -9y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = 6+9 strategic 1 ERROR subtract -9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = 6+9 strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:09.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:10.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 2 NEXT_HINT Type in -9y/-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 3 OK typein -9y/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:26.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:27.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 5 NEXT_HINT Type in (6+9)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 6 ERROR typein 6+9/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:41.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:02:42.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 8 NEXT_HINT Type in (6+9)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:01.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:02.0 HINT HINT ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 10 NEXT_HINT Type in (6+9)/-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 11 OK typein (6+9)/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = (6+9)/-9 strategic 12 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 BUG -9y -9y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG 9y 9y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:03:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = (6+9)/-9 strategic 1 OK rf (6+9)/-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:07.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT Above is the simplified form of the expression (6+9)/-9. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -(6+9)/9 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = -(6+9)/9 strategic 1 ERROR multiply 5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = -(6+9)/9 strategic 2 OK clt 6+9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:43.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT In the group above, you have [6]+[9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:04:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 15 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 1 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 2 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 3 BUG divide 6 You want to isolate 5y by removing -6 from the right side. 6 is subtracted from 5y. What is the opposite of subtraction? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 4 BUG divide 6 You want to isolate 5y by removing -6 from the right side. 6 is subtracted from 5y. What is the opposite of subtraction? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 5 BUG add -6 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 6 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:54.0 HINT HINT ES_02 ES_02-6 EG40 -6+5 = -6+5y+5 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:05:55.0 HINT HINT ES_02 ES_02-6 EG40 -6+5 = -6+5y+5 strategic 2 NEXT_HINT Type in -6+5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:00.0 HINT HINT ES_02 ES_02-6 EG40 -6 = -6+5y strategic 7 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:01.0 HINT HINT ES_02 ES_02-6 EG40 -6 = -6+5y strategic 8 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:04.0 HINT HINT ES_02 ES_02-6 EG40 -6 = -6+5y strategic 9 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6+5y strategic 10 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:14.0 HINT HINT ES_02 ES_02-6 EG40 -6+6 = -6+5y+6 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:14.0 HINT HINT ES_02 ES_02-6 EG40 -6+6 = -6+5y+6 strategic 2 NEXT_HINT Type in -6+6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6 = -6+5y+6 strategic 3 OK typein -6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:21.0 HINT HINT ES_02 ES_02-6 EG40 -6+6 = -6+5y+6 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:23.0 HINT HINT ES_02 ES_02-6 EG40 -6+6 = -6+5y+6 strategic 5 NEXT_HINT Type in -6+5y+6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session55 2006-01-19 12:06:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6 = -6+5y+6 strategic 6 OK typein -6+5y+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:22:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 4+7y strategic 1 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:22:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 4+7y strategic 2 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:22:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 4+7y strategic 3 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:22:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 4+7y strategic 4 BUG add 4 Since 4 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 4+7y strategic 5 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:12.0 HINT HINT ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:14.0 HINT HINT ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 2 NEXT_HINT Type in 3-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 3 OK typein 3-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:23.0 HINT HINT ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:24.0 HINT HINT ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 5 NEXT_HINT Type in 4+7y-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 6 OK typein 4+7y-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-4 = 4+7y-4 strategic 7 OK clt 3-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:23:54.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [3]+[-4]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 4+7y-4 strategic 1 ERROR subtract 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 4+7y-4 strategic 2 OK clt 4+7y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 7y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 7y strategic 1 BUG subtract 7 In 7y, y is multiplied by 7. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 7y strategic 2 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:52.0 HINT HINT ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:52.0 HINT HINT ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 2 NEXT_HINT Type in -1/7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 3 OK typein -1/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:24:58.0 HINT HINT ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:00.0 HINT HINT ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 5 NEXT_HINT Type in 7y/7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 6 OK typein 7y/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/7 = 7y/7 strategic 7 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 5+3x strategic 1 BUG add 5 Since 5 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 5 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 5+3x strategic 2 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:38.0 HINT HINT ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:39.0 HINT HINT ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 2 NEXT_HINT Type in 0-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 3 OK typein 0-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:45.0 HINT HINT ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:25:46.0 HINT HINT ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 5 NEXT_HINT Type in 5+3x-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 6 OK typein 5+3x-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-5 = 5+3x-5 strategic 7 OK clt 0-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:34.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT 5 In the group above, you have [0]+[-5]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = 5+3x-5 strategic 1 OK clt 5+3x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 3x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:26:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 3x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = 3x strategic 1 BUG subtract 3 In 3x, x is multiplied by 3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = 3x strategic 2 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:08.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:09.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 2 NEXT_HINT Type in -5/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 3 OK typein -5/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:15.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:16.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 5 NEXT_HINT Type in 3x/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 6 OK typein 3x/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = 3x/3 strategic 7 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -8x+4 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -8x+4 strategic 2 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:55.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:27:56.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 2 NEXT_HINT Type in 0-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 3 OK typein 0-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:10.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:10.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 5 NEXT_HINT Type in -8x+4-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 6 OK typein -8x+4-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = -8x+4-4 strategic 7 OK clt 0-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -8x+4-4 strategic 1 OK clt -8x+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:28:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -8x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:05.0 HINT HINT ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:05.0 HINT HINT ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 2 NEXT_HINT Type in -4/-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 3 OK typein -4/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:12.0 HINT HINT ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:13.0 HINT HINT ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 5 NEXT_HINT Type in -8x/-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 6 OK typein -8x/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 7 OK rf -4/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG -4 -4
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG 4 4
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:37.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:29:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -4/-8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-8 = -8x/-8 strategic 8 OK rf -4/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:34.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 5 INITIAL_HINT 4 The common factor between the numerator and denominator of [-4]/[-8] is -4. This set of entry boxes represent the simplified form of [-4]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:30:59.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-4]/[-8] is -4. This set of entry boxes represent the simplified form of [-4]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:15.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT Above is the simplified form of the expression -4/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 1/2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/2 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -9+2y strategic 1 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -9+2y strategic 2 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:57.0 HINT HINT ES_02 ES_02-6 EG40 3-(-9) = -9+2y-(-9) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:31:57.0 HINT HINT ES_02 ES_02-6 EG40 3-(-9) = -9+2y-(-9) strategic 2 NEXT_HINT Type in 3-(-9) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:32:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-(-9) = -9+2y-(-9) strategic 3 OK typein 3-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:32:22.0 HINT HINT ES_02 ES_02-6 EG40 3-(-9) = -9+2y-(-9) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:32:23.0 HINT HINT ES_02 ES_02-6 EG40 3-(-9) = -9+2y-(-9) strategic 5 NEXT_HINT Type in -9+2y-(-9) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:32:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3-(-9) = -9+2y-(-9) strategic 6 OK typein -9+2y-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:32:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+9 = -9+2y+9 strategic 1 OK clt -9+2y+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+9 = -9+2y+9 strategic 2 OK clt 3+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12 = -9+2y+9 strategic 1 OK clt -9+2y+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 2y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:25.0 HINT HINT ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:26.0 HINT HINT ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 2 NEXT_HINT Type in 12/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 3 OK typein 12/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:31.0 HINT HINT ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:32.0 HINT HINT ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 5 NEXT_HINT Type in 2y/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 6 OK typein 2y/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/2 = 2y/2 strategic 7 OK rf 12/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR 12 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:33:54.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [12]/[2] is 2. This set of entry boxes represent the simplified form of [12]/[2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:34:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:34:09.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [12]/[2] is 2. This set of entry boxes represent the simplified form of [12]/[2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:34:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:34:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 6/1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/1 = 2y/2 strategic 1 OK rf 6/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:24.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [6]/[1] is 1. This set of entry boxes represent the simplified form of [6]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 5 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:40.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [6]/[1] is 1. This set of entry boxes represent the simplified form of [6]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:35:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/1 = 2y/2 strategic 2 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:36:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:36:15.0 HINT HINT ES_02 ES_02-7 EG41 -7 = x/5-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:36:16.0 HINT HINT ES_02 ES_02-7 EG41 -7 = x/5-3 strategic 2 NEXT_HINT -3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:36:19.0 HINT HINT ES_02 ES_02-7 EG41 -7 = x/5-3 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:36:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = x/5-3 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+3 = x/5-3+3 strategic 1 OK clt -7+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/5-3+3 strategic 1 OK clt x/5-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:22.0 HINT HINT ES_02 ES_02-7 EG41 -4 = x/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:24.0 HINT HINT ES_02 ES_02-7 EG41 -4 = x/5 strategic 2 NEXT_HINT In x/5, x is divided by 5. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:27.0 HINT HINT ES_02 ES_02-7 EG41 -4 = x/5 strategic 3 NEXT_HINT Multiply both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/5 strategic 4 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:35.0 HINT HINT ES_02 ES_02-7 EG41 -4*5 = x/5*5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:37.0 HINT HINT ES_02 ES_02-7 EG41 -4*5 = x/5*5 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:40.0 HINT HINT ES_02 ES_02-7 EG41 -4*5 = x/5*5 strategic 3 NEXT_HINT Put the equation in its simplest form. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*5 = x/5*5 strategic 4 OK mt -4*5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -20 = x/5*5 strategic 1 OK mt x/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:37:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -20 = x strategic 1 BUG subtract -20 You already solved the equation. x is -20. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -7+(y/-10) strategic 1 BUG add -7 To remove -7 from the right side, you can add a positive to it. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -7+(y/-10) strategic 2 BUG add -7 To remove -7 from the right side, you can add a positive to it. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -7+(y/-10) strategic 3 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:33.0 HINT HINT ES_02 ES_02-7 EG41 9+7 = -7+(y/-10)+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:34.0 HINT HINT ES_02 ES_02-7 EG41 9+7 = -7+(y/-10)+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9+7 = -7+(y/-10)+7 strategic 3 OK clt 9+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 16 = -7+(y/-10)+7 strategic 1 OK clt -7+(y/-10)+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 16 = y/-10 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:38:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 16*-10 = y/-10*-10 strategic 1 OK mt 16*-10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -160 = y/-10*-10 strategic 1 OK mt y/-10*-10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -2+(y/-7) strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+2 = -2+(y/-7)+2 strategic 1 OK clt 3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -2+(y/-7)+2 strategic 1 OK clt -2+(y/-7)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = y/-7 strategic 1 BUG multiply 7 Multiplying by 7 will leave -y. It is better to multiply by -7, because that will leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = y/-7 strategic 2 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*-7 = y/-7*-7 strategic 1 OK mt 5*-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -35 = y/-7*-7 strategic 1 OK mt y/-7*-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:39:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+(y/-2) = 3 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+(y/-2)+4 = 3+4 strategic 1 OK clt -4+(y/-2)+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 3+4 strategic 1 OK clt 3+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 7 strategic 1 BUG multiply 2 Multiplying by 2 will leave -y. It is better to multiply by -2, because that will leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 7 strategic 2 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2*-2 = 7*-2 strategic 1 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 7*-2 strategic 1 OK mt 7*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = y/-5-8 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+8 = y/-5-8+8 strategic 1 OK clt -7+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:40:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/-5-8+8 strategic 1 OK clt y/-5-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-5 = y/-5*-5 strategic 1 OK mt 1*-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = y/-5*-5 strategic 1 OK mt y/-5*-5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = 10+(x/-9) strategic 1 BUG add 10 Since 10 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 10 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = 10+(x/-9) strategic 2 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5-10 = 10+(x/-9)-10 strategic 1 OK clt -5-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -15 = 10+(x/-9)-10 strategic 1 OK clt 10+(x/-9)-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:41:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -15 = x/-9 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -15*-9 = x/-9*-9 strategic 1 OK mt -15*-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 135 = x/-9*-9 strategic 1 OK mt x/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = y/-2+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-8 = y/-2+8-8 strategic 1 OK clt -8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = y/-2+8-8 strategic 1 OK clt y/-2+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = y/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16*-2 = y/-2*-2 strategic 1 ERROR rf y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16*-2 = y/-2*-2 strategic 2 OK mt -16*-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:42:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 32 = y/-2*-2 strategic 1 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9+9 = 6 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:14.0 HINT HINT ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:15.0 HINT HINT ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 2 NEXT_HINT Type in y/9+9-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 3 OK typein y/9+9-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:33.0 HINT HINT ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:33.0 HINT HINT ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 5 NEXT_HINT Type in 6-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 6 OK typein 6-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9+9-9 = 6-9 strategic 7 OK clt y/9+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:43:59.0 HINT HINT ES_02 ES_02-8 EG41 y/9 = 6-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:00.0 HINT HINT ES_02 ES_02-8 EG41 y/9 = 6-9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = 6-9 strategic 3 OK clt 6-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:06.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [6]+[-9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:28.0 HINT HINT ES_02 ES_02-8 EG41 y/9 = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:28.0 HINT HINT ES_02 ES_02-8 EG41 y/9 = -3 strategic 2 NEXT_HINT In y/9, y is divided by 9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:33.0 HINT HINT ES_02 ES_02-8 EG41 y/9 = -3 strategic 3 NEXT_HINT Multiply both sides by 9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -3 strategic 4 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:41.0 HINT HINT ES_02 ES_02-8 EG41 y/9*9 = -3*9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:44:42.0 HINT HINT ES_02 ES_02-8 EG41 y/9*9 = -3*9 strategic 2 NEXT_HINT Type in y/9*9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*9 = y/9*9 strategic 1 OK typein y/9 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:06.0 HINT HINT ES_02 ES_02-8 EG41 -3*9 = y/9*9 strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:06.0 HINT HINT ES_02 ES_02-8 EG41 -3*9 = y/9*9 strategic 3 NEXT_HINT Type in -3*9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*9 = y/9*9 strategic 4 OK typein -3 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*9 = y/9*9 strategic 5 OK mt -3*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:23.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-3]*[9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -27 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = y/9*9 strategic 1 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR y/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR y/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:53.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 INITIAL_HINT y/9 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:45:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 ERROR 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:06.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 7 INITIAL_HINT -9 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 8 ERROR y.9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:32.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:41.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 9 INITIAL_HINT y.9 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 10 ERROR y.9. default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:46:56.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT Before working on this answer, fill in the numerator above. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:47:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 11 ERROR y.9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:47:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = y/9*9 strategic 2 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:47:19.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT Before working on this answer, fill in the numerator above. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:47:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = y/9*9 strategic 3 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:48:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = y/9*9 strategic 4 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:48:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 12 OK y 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:48:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK 9 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:48:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR y/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:48:59.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT y/9 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK y 9/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = y*9/9 strategic 1 ERROR mt -27 = y*9/9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:21.0 HINT HINT ES_02 ES_02-8 EG41 -27 = y*9/9 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:22.0 HINT HINT ES_02 ES_02-8 EG41 -27 = y*9/9 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -27 = y*9/9 strategic 4 OK rf y*9/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:49:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = -1+(x/-10) strategic 1 BUG add -1 To remove -1 from the right side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = -1+(x/-10) strategic 2 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:05.0 HINT HINT ES_02 ES_02-8 EG41 5+1 = -1+(x/-10)+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:06.0 HINT HINT ES_02 ES_02-8 EG41 5+1 = -1+(x/-10)+1 strategic 2 NEXT_HINT Type in 5+1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+1 = -1+(x/-10)+1 strategic 3 OK typein 5+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:12.0 HINT HINT ES_02 ES_02-8 EG41 5+1 = -1+(x/-10)+1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:13.0 HINT HINT ES_02 ES_02-8 EG41 5+1 = -1+(x/-10)+1 strategic 5 NEXT_HINT Type in -1+(x/-10)+1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+1 = -1+(x/-10)+1 strategic 6 OK typein -1+(x/-10)+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+1 = -1-x/10+1 strategic 1 OK clt 5+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:49.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [5]+[1]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:50:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -1-x/10+1 strategic 1 OK clt -1-x/10+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 OK -x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -x/10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -x/10 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:39.0 HINT HINT ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:40.0 HINT HINT ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 2 NEXT_HINT Type in 6*10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 3 OK typein 6 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:48.0 HINT HINT ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:51:49.0 HINT HINT ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 5 NEXT_HINT Type in -x/10*10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 6 OK typein -x/10 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*10 = -x/10*10 strategic 7 OK mt 6*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:09.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [6]*[10]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 60 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 60 = -x/10*10 strategic 1 OK mt -x/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -x 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -x 10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 ERROR 1/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 ERROR 1/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:52:55.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 INITIAL_HINT 1/10 You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 OK 10 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:04.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -10x/10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 60 = -10x/10 strategic 1 OK rf -10x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 60 = -10x/10 strategic 2 OK rf -10x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG -10x -10x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 BUG 10 10
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 BUG 10x 10x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:53:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 BUG -10x -10x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 60 = -10x/10 strategic 3 OK rf -10x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 BUG 10 10
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 BUG -10 -10
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session56 2006-01-20 08:54:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:27.0 HINT HINT ES_02 ES_02-8 EG41 -5 = y/7-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:28.0 HINT HINT ES_02 ES_02-8 EG41 -5 = y/7-9 strategic 2 NEXT_HINT -9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:31.0 HINT HINT ES_02 ES_02-8 EG41 -5 = y/7-9 strategic 3 NEXT_HINT You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = y/7-9 strategic 4 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:40.0 HINT HINT ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:41.0 HINT HINT ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 2 NEXT_HINT Type in -5+9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 3 OK typein -5+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:48.0 HINT HINT ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:28:49.0 HINT HINT ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 5 NEXT_HINT Type in y/7-9+9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 6 OK typein y/7-9+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+9 = y/7-9+9 strategic 7 OK clt -5+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:09.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-5]+[9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = y/7-9+9 strategic 1 OK clt y/7-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK y/7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:37.0 HINT HINT ES_02 ES_02-8 EG41 4 = y/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:38.0 HINT HINT ES_02 ES_02-8 EG41 4 = y/7 strategic 2 NEXT_HINT In y/7, y is divided by 7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:41.0 HINT HINT ES_02 ES_02-8 EG41 4 = y/7 strategic 3 NEXT_HINT Multiply both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = y/7 strategic 4 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:48.0 HINT HINT ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:49.0 HINT HINT ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 2 NEXT_HINT Type in 4*7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 3 OK typein 4 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:55.0 HINT HINT ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:29:56.0 HINT HINT ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 5 NEXT_HINT Type in y/7*7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 6 OK typein y/7 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 7 ERROR rf 4*7 = y/7*7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:13.0 HINT HINT ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 8 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:14.0 HINT HINT ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 9 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*7 = y/7*7 strategic 10 OK mt 4*7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 27 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 28 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 28 = y/7*7 strategic 1 OK mt y/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:34.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG y 7 y 7
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:30:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2 = 2 strategic 1 BUG add 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2 = 2 strategic 2 BUG subtract -2 To remove 2 from the left side, you can subtract a positive from it. Erase your last step and subtract 2 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2 = 2 strategic 3 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:19.0 HINT HINT ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:20.0 HINT HINT ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 2 NEXT_HINT Type in y/-2+2-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 3 ERROR typein y/-2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:33.0 HINT HINT ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:31:34.0 HINT HINT ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 5 NEXT_HINT Type in y/-2+2-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 6 OK typein y/-2+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:22.0 HINT HINT ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:22.0 HINT HINT ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 8 NEXT_HINT Type in 2-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 9 OK typein 2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+2-2 = 2-2 strategic 10 OK clt y/-2+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK -y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:32:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2 = 2-2 strategic 1 ERROR mt -y/2 = 2-2 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2 = 2-2 strategic 2 ERROR subtract 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2 = 2-2 strategic 3 ERROR add -2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2 = 2-2 strategic 4 ERROR divide 2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2 = 2-2 strategic 5 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:19.0 HINT HINT ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:20.0 HINT HINT ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 2 NEXT_HINT Type in -y/2*2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 3 BUG typein -y/2 You haven't performed any operations. BUG default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 4 OK typein -y/2 2 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:38.0 HINT HINT ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 5 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:39.0 HINT HINT ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 6 NEXT_HINT Type in (2-2)*2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 7 OK typein (2-2) 2 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:33:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/2*2 = (2-2)*2 strategic 8 OK mt -y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:02.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT Before working on this answer, fill in the numerator above. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 BUG fretrtret fretrtret
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 BUG -y/2 -y/2
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR 2/12 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR 2/12 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:32.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT 2/12 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 BUG -2y -2y
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK -2y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:49.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:34:59.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT -2y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -2y/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2y/2 = (2-2)*2 strategic 1 OK clt 2-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:21.0 HINT HINT ES_02 ES_02-8 EG41 -2y/2 = 0*2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:22.0 HINT HINT ES_02 ES_02-8 EG41 -2y/2 = 0*2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2y/2 = 0*2 strategic 3 OK mt 0*2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2y/2 = 0 strategic 1 OK rf -2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG -2y -2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 BUG 2 2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:35:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 BUG 2y 2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:00.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 BUG 2y 2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 BUG 2y 2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2y/2 = 0 strategic 2 ERROR mt -2y/2 = 0 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2y/2 = 0 strategic 3 OK rf -2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 20 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 21 BUG -2y -2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session57 2006-01-23 11:36:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 22 BUG 2y 2y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:29.0 HINT HINT ES_02 ES_02-8 EG41 -3 = 9+(x/-8) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:30.0 HINT HINT ES_02 ES_02-8 EG41 -3 = 9+(x/-8) strategic 2 NEXT_HINT 9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:33.0 HINT HINT ES_02 ES_02-8 EG41 -3 = 9+(x/-8) strategic 3 NEXT_HINT You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = 9+(x/-8) strategic 4 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:42.0 HINT HINT ES_02 ES_02-8 EG41 -3-9 = 9+(x/-8)-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:45.0 HINT HINT ES_02 ES_02-8 EG41 -3-9 = 9+(x/-8)-9 strategic 2 NEXT_HINT Type in -3-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-9 = 9+(x/-8)-9 strategic 3 OK typein -3-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:53.0 HINT HINT ES_02 ES_02-8 EG41 -3-9 = 9+(x/-8)-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:17:58.0 HINT HINT ES_02 ES_02-8 EG41 -3-9 = 9+(x/-8)-9 strategic 5 NEXT_HINT Type in 9+(x/-8)-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:18:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-9 = 9+(x/-8)-9 strategic 6 OK typein 9+x/-8-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:18:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-9 = 9-x/8-9 strategic 1 OK clt -3-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:18:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:18:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = 9-x/8-9 strategic 1 OK clt 9-x/8-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:18:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK -x/8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -x/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = -x/8 strategic 1 ERROR rf -12 = -x/8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = -x/8 strategic 2 BUG add -12 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:20.0 HINT HINT ES_02 ES_02-8 EG41 -12 = -x/8 strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:21.0 HINT HINT ES_02 ES_02-8 EG41 -12 = -x/8 strategic 4 NEXT_HINT In -x/8, x is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:25.0 HINT HINT ES_02 ES_02-8 EG41 -12 = -x/8 strategic 5 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -8/1, which is the same as mulitplying by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = -x/8 strategic 6 OK multiply -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:46.0 HINT HINT ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:19:47.0 HINT HINT ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 2 NEXT_HINT Type in -12*-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 3 OK typein -12 (-8) default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:08.0 HINT HINT ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:09.0 HINT HINT ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 5 NEXT_HINT Type in -x/8*-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 6 OK typein -x/8 (-8) default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*-8 = -x/8*-8 strategic 7 OK mt -12*-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:33.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-12]*[-8]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 96 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 96 = -x/8*-8 strategic 1 OK mt -x/8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:20:51.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:21:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:21:04.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:21:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:21:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 8x/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:21:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 96 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:21:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4+6 = -1 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:02.0 HINT HINT ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:03.0 HINT HINT ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 2 NEXT_HINT Type in x/-4+6-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 3 OK typein x/-4+6-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:19.0 HINT HINT ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:20.0 HINT HINT ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 5 NEXT_HINT Type in -1-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 6 OK typein -1-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4+6-6 = -1-6 strategic 7 OK clt x/-4+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK -x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -x/4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/4 = -1-6 strategic 1 ERROR mt -x/4 = -1-6 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:22:59.0 HINT HINT ES_02 ES_02-8 EG41 -x/4 = -1-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:00.0 HINT HINT ES_02 ES_02-8 EG41 -x/4 = -1-6 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/4 = -1-6 strategic 4 OK clt -1-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:05.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-1]+[-6]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:20.0 HINT HINT ES_02 ES_02-8 EG41 -x/4 = -7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:21.0 HINT HINT ES_02 ES_02-8 EG41 -x/4 = -7 strategic 2 NEXT_HINT In -x/4, x is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:25.0 HINT HINT ES_02 ES_02-8 EG41 -x/4 = -7 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -4/1, which is the same as mulitplying by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/4 = -7 strategic 4 OK multiply -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:35.0 HINT HINT ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:36.0 HINT HINT ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 2 NEXT_HINT Type in -x/4*-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:23:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 3 OK typein -x/4 (-4) default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:01.0 HINT HINT ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:02.0 HINT HINT ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 5 NEXT_HINT Type in -7*-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 6 OK typein -7 (-4) default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/4*-4 = -7*-4 strategic 7 OK mt -x/4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 4x/4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4x/4 = -7*-4 strategic 1 OK mt -7*-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:51.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT In the group above, you have [-7]*[-4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:24:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 28 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4x/4 = 28 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = 8+(y/-5) strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:24.0 HINT HINT ES_02 ES_02-8 EG41 4-8 = 8+(y/-5)-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:26.0 HINT HINT ES_02 ES_02-8 EG41 4-8 = 8+(y/-5)-8 strategic 2 NEXT_HINT Type in 4-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-8 = 8+(y/-5)-8 strategic 3 OK typein 4-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:32.0 HINT HINT ES_02 ES_02-8 EG41 4-8 = 8+(y/-5)-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:33.0 HINT HINT ES_02 ES_02-8 EG41 4-8 = 8+(y/-5)-8 strategic 5 NEXT_HINT Type in 8+(y/-5)-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-8 = 8+(y/-5)-8 strategic 6 OK typein 8+(y/-5)-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:25:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4-8 = 8-y/5-8 strategic 1 OK clt 4-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:14.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT 4 In the group above, you have [4]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = 8-y/5-8 strategic 1 OK clt 8-y/5-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -y/5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -y/5 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:49.0 HINT HINT ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:26:50.0 HINT HINT ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 2 NEXT_HINT Type in -4*5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 3 OK typein -4 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:01.0 HINT HINT ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:02.0 HINT HINT ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 5 NEXT_HINT Type in -y/5*5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:12.0 HINT HINT ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:13.0 HINT HINT ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 7 NEXT_HINT Type in -y/5*5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 8 OK typein -y/5 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 9 ERROR clt -4*5 = -y/5*5 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*5 = -y/5*5 strategic 10 OK mt -4*5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = -y/5*5 strategic 1 OK mt -y/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:27:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK -5y/5 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = -5y/5 strategic 1 OK rf -5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 BUG -5y -5y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG 5y 5y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:35.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 BUG -5 -5
The most appropriate common factor results in a negative numerator and positive denominator. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 ERROR 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:28:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 BUG -5 -5
Perhaps you should fill in the denominator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 BUG 5 5
Perhaps you should fill in the denominator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 3 BUG 5 5
Perhaps you should fill in the denominator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = -5y/5 strategic 2 OK rf -5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 5 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:38.0 HINT HINT ES_02 ES_02-8 EG41 row2y strategic 4 INITIAL_HINT Because there are no y factors in the denominator of -5y/5, you must double-click in order to enter a 1. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:29:51.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[5] is 5. This set of entry boxes represent the simplified form of [-5]/[5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:05.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the y factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:10.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[5] is 5. This set of entry boxes represent the simplified form of [-5]/[5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:26.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 2 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the y factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:32.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-y strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the y factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:35.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 3 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the y factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:30:59.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:03.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 4 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the y factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:15.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 5 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 6 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:30.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-y strategic 2 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:43.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 13 INITIAL_HINT Above is the simplified form of the expression -5y/5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:31:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = -y strategic 1 BUG subtract -20 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = -y strategic 2 OK subtract -y default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:12.0 HINT HINT ES_02 ES_02-8 EG41 -20-(-y) = -y-(-y) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:13.0 HINT HINT ES_02 ES_02-8 EG41 -20-(-y) = -y-(-y) strategic 2 NEXT_HINT Type in -20-(-y) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20-(-y) = -y-(-y) strategic 3 OK typein -20-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:29.0 HINT HINT ES_02 ES_02-8 EG41 -20-(-y) = -y-(-y) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:30.0 HINT HINT ES_02 ES_02-8 EG41 -20-(-y) = -y-(-y) strategic 5 NEXT_HINT Type in -y-(-y) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20-(-y) = -y-(-y) strategic 6 OK typein -y-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y = -y+y strategic 1 OK clt -y+y default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 ERROR y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 ERROR -y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 ERROR -y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:32:59.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 18 INITIAL_HINT -y In the group above, -y and y are like terms. Like terms can be combined by adding the coefficients of each term. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y = 0 strategic 1 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y = 0 strategic 2 OK subtract -20 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:30.0 HINT HINT ES_02 ES_02-8 EG41 -20+y-(-20) = 0-(-20) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:32.0 HINT HINT ES_02 ES_02-8 EG41 -20+y-(-20) = 0-(-20) strategic 2 NEXT_HINT Type in -20+y-(-20) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y-(-20) = 0-(-20) strategic 3 OK typein -20+y-(-20) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:53.0 HINT HINT ES_02 ES_02-8 EG41 -20+y-(-20) = 0-(-20) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:33:55.0 HINT HINT ES_02 ES_02-8 EG41 -20+y-(-20) = 0-(-20) strategic 5 NEXT_HINT Type in 0-(-20) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y-(-20) = 0-(-20) strategic 6 OK typein 0-(-20) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y+20 = 0+20 strategic 1 ERROR rds -20+y+20 = 0+20 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20+y+20 = 0+20 strategic 2 OK clt -20+y+20 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -20 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 20 OK y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 0+20 strategic 1 ERROR mt y = 0+20 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 0+20 strategic 2 OK clt 0+20 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:34:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 21 OK 20 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-5 = -3 strategic 1 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:05.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-5-(-5) = -3-(-5) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:06.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-5-(-5) = -3-(-5) strategic 2 NEXT_HINT Type in x/-9-5-(-5) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-5-(-5) = -3-(-5) strategic 3 OK typein x/-9-5-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:25.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-5-(-5) = -3-(-5) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:26.0 HINT HINT ES_02 ES_02-8 EG41 x/-9-5-(-5) = -3-(-5) strategic 5 NEXT_HINT Type in -3-(-5) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-5-(-5) = -3-(-5) strategic 6 OK typein -3-(-5) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-5+5 = -3+5 strategic 1 OK clt x/-9-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK -x/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:35:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -x/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9 = -3+5 strategic 1 OK clt -3+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:03.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-3]+[5]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9 = 2 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:22.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:23.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 2 NEXT_HINT Type in -x/9*9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 3 OK typein -x/9 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:34.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:36.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 5 NEXT_HINT Type in 2*9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 6 OK typein 2 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 7 ERROR clt -x/9*9 = 2*9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*9 = 2*9 strategic 8 OK mt -x/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:36:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 9x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -9x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -9x/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9x/9 = 2*9 strategic 1 OK mt 2*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9x/9 = 18 strategic 1 OK rf -9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x = 18 strategic 1 OK subtract -x default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:56.0 HINT HINT ES_02 ES_02-8 EG41 -x-(-x) = 18-(-x) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:37:57.0 HINT HINT ES_02 ES_02-8 EG41 -x-(-x) = 18-(-x) strategic 2 NEXT_HINT Type in -x-(-x) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x-(-x) = 18-(-x) strategic 3 OK typein -x-(-x) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:12.0 HINT HINT ES_02 ES_02-8 EG41 -x-(-x) = 18-(-x) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:15.0 HINT HINT ES_02 ES_02-8 EG41 -x-(-x) = 18-(-x) strategic 5 NEXT_HINT Type in 18-(-x) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x-(-x) = 18-(-x) strategic 6 OK typein 18-(-x) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x+x = 18+x strategic 1 OK clt -x+x default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR -x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:38:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = 18+x strategic 1 ERROR clt 0 = 18+x strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = 1+x/2 strategic 1 BUG subtract -5 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:28.0 HINT HINT ES_02 ES_02-8 EG41 -5 = 1+x/2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:29.0 HINT HINT ES_02 ES_02-8 EG41 -5 = 1+x/2 strategic 3 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:32.0 HINT HINT ES_02 ES_02-8 EG41 -5 = 1+x/2 strategic 4 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = 1+x/2 strategic 5 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:43.0 HINT HINT ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:44.0 HINT HINT ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 2 NEXT_HINT Type in -5-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 3 OK typein -5-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:50.0 HINT HINT ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:51.0 HINT HINT ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 5 NEXT_HINT Type in 1+x/2-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:39:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 6 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:02.0 HINT HINT ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:03.0 HINT HINT ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 8 NEXT_HINT Type in 1+x/2-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 9 OK typein 1+x/2-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-1 = 1+x/2-1 strategic 10 OK clt -5-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:26.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-5]+[-1]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = 1+x/2-1 strategic 1 OK clt 1+x/2-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK x/2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:54.0 HINT HINT ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:40:55.0 HINT HINT ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 2 NEXT_HINT Type in -6*2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:41:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 3 OK typein -6 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:41:02.0 HINT HINT ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:41:03.0 HINT HINT ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 5 NEXT_HINT Type in x/2*2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:41:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 6 OK typein x/2 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:41:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*2 = x/2*2 strategic 7 OK mt -6*2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = x/2*2 strategic 1 OK mt x/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 2x/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = 2x/2 strategic 1 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = x strategic 1 BUG subtract -12 You already solved the equation. x is -12. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = 1+(x/-4) strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:54.0 HINT HINT ES_02 ES_02-8 EG41 3-1 = 1+(x/-4)-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:55.0 HINT HINT ES_02 ES_02-8 EG41 3-1 = 1+(x/-4)-1 strategic 2 NEXT_HINT Type in 3-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:42:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-1 = 1+(x/-4)-1 strategic 3 OK typein 3-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:01.0 HINT HINT ES_02 ES_02-8 EG41 3-1 = 1+(x/-4)-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:01.0 HINT HINT ES_02 ES_02-8 EG41 3-1 = 1+(x/-4)-1 strategic 5 NEXT_HINT Type in 1+(x/-4)-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-1 = 1+(x/-4)-1 strategic 6 OK typein 1+(x/-4)-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-1 = 1-x/4-1 strategic 1 OK clt 3-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:31.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [3]+[-1]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:43:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 1-x/4-1 strategic 1 OK clt 1-x/4-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -x/4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = -x/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:13.0 HINT HINT ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:14.0 HINT HINT ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 2 NEXT_HINT Type in 2*4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 3 ERROR typein 2 54 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 4 OK typein 2 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:25.0 HINT HINT ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:26.0 HINT HINT ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 6 NEXT_HINT Type in -x/4*4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 7 OK typein -x/4 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*4 = -x/4*4 strategic 8 OK mt 2*4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -x/4*4 strategic 1 OK mt -x/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:44:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -4x/4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -4x/4 strategic 1 ERROR mt 8 = -4x/4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -4x/4 strategic 2 OK rf -4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -x strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -x strategic 2 OK subtract -x default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:41.0 HINT HINT ES_02 ES_02-8 EG41 8-(-x) = -x-(-x) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:42.0 HINT HINT ES_02 ES_02-8 EG41 8-(-x) = -x-(-x) strategic 2 NEXT_HINT Type in 8-(-x) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-(-x) = -x-(-x) strategic 3 OK typein 8-(-x) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:57.0 HINT HINT ES_02 ES_02-8 EG41 8-(-x) = -x-(-x) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:45:58.0 HINT HINT ES_02 ES_02-8 EG41 8-(-x) = -x-(-x) strategic 5 NEXT_HINT Type in -x-(-x) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-(-x) = -x-(-x) strategic 6 OK typein -x-(-x) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+x = -x+x strategic 1 OK clt -x+x default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:31.0 HINT HINT ES_02 ES_02-8 EG41 8+x = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:33.0 HINT HINT ES_02 ES_02-8 EG41 8+x = 0 strategic 2 NEXT_HINT 8 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:36.0 HINT HINT ES_02 ES_02-8 EG41 8+x = 0 strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+x = 0 strategic 4 OK subtract 8 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:44.0 HINT HINT ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:45.0 HINT HINT ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 2 NEXT_HINT Type in 8+x-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 3 OK typein 8+x-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:58.0 HINT HINT ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:46:58.0 HINT HINT ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 5 NEXT_HINT Type in 0-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 6 OK typein 0-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+x-8 = 0-8 strategic 7 OK clt 8+x-8 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = 0-8 strategic 1 OK clt 0-8 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:32.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 13 INITIAL_HINT 0 In the group above, you have [0]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK -8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-8) = -9 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:53.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)-(-2) = -9-(-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:47:54.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)-(-2) = -9-(-2) strategic 2 NEXT_HINT Type in -2+(y/-8)-(-2) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-8)-(-2) = -9-(-2) strategic 3 OK typein -2+(y/-8)-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:19.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)-(-2) = -9-(-2) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:21.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)-(-2) = -9-(-2) strategic 5 NEXT_HINT Type in -9-(-2) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-8)-(-2) = -9-(-2) strategic 6 OK typein -9-(-2) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2-y/8+2 = -9+2 strategic 1 OK clt -2-y/8+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8 = -9+2 strategic 1 OK clt -9+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:48:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8 = -7 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:22.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:22.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 2 NEXT_HINT Type in -y/8*8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 3 OK typein -y/8 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:33.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:34.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 5 NEXT_HINT Type in -7*8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 6 OK typein -7 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 7 ERROR clt -y/8*8 = -7*8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 8 OK mt -y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -8y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:49:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -8y/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8y/8 = -7*8 strategic 1 OK rf -8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -7*8 strategic 1 ERROR subtract -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -7*8 strategic 2 ERROR add -y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:34.0 HINT HINT ES_02 ES_02-8 EG41 -y = -7*8 strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:36.0 HINT HINT ES_02 ES_02-8 EG41 -y = -7*8 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -7*8 strategic 5 OK mt -7*8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:41.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT In the group above, you have [-7]*[8]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:50:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*8 = -7*8 strategic 9 OK mt -y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -8y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK -8y/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8y/8 = -7*8 strategic 2 OK mt -7*8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:16.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT In the group above, you have [-7]*[8]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK -56 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8y/8 = -56 strategic 1 OK rf -8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -56 strategic 1 OK subtract -y default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:43.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -56-(-y) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:44.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -56-(-y) strategic 2 NEXT_HINT Type in -y-(-y) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y-(-y) = -56-(-y) strategic 3 OK typein -y-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:57.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -56-(-y) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:51:58.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -56-(-y) strategic 5 NEXT_HINT Type in -56-(-y) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y-(-y) = -56-(-y) strategic 6 OK typein -56-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y+y = -56+y strategic 1 OK clt -y+y default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -56+y strategic 1 ERROR clt 0 = -56+y strategic default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:23.0 HINT HINT ES_02 ES_02-8 EG41 0 = -56+y strategic 2 INITIAL_HINT default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:24.0 HINT HINT ES_02 ES_02-8 EG41 0 = -56+y strategic 3 NEXT_HINT -56 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -56 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -56+y strategic 4 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:34.0 HINT HINT ES_02 ES_02-8 EG41 0 = -56+y strategic 5 INITIAL_HINT default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:34.0 HINT HINT ES_02 ES_02-8 EG41 0 = -56+y strategic 6 NEXT_HINT -56 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -56 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:38.0 HINT HINT ES_02 ES_02-8 EG41 0 = -56+y strategic 7 NEXT_HINT You can add 56 to both sides of the equation to eliminate the constant value of -56 (-56 + 56 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -56+y strategic 8 OK add 56 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:49.0 HINT HINT ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:50.0 HINT HINT ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 2 NEXT_HINT Type in 0+56 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 3 OK typein 0+56 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:57.0 HINT HINT ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:52:58.0 HINT HINT ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 5 NEXT_HINT Type in -56+y+56 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 6 OK typein -56+y+56 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+56 = -56+y+56 strategic 7 OK clt 0+56 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:16.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 13 INITIAL_HINT In the group above, you have [0]+[56]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK 56 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 56 = -56+y+56 strategic 1 OK clt -56+y+56 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:53:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6-8 = 9 strategic 1 BUG subtract 8 Since -8 is negative, you should add to remove it from the left side. Erase your last step and add 8 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6-8 = 9 strategic 2 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:04.0 HINT HINT ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:05.0 HINT HINT ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 2 NEXT_HINT Type in y/6-8-(-8) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 3 ERROR typein y/6-8(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:20.0 HINT HINT ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:20.0 HINT HINT ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 5 NEXT_HINT Type in y/6-8-(-8) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 6 OK typein y/6-8-(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:31.0 HINT HINT ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:32.0 HINT HINT ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 8 NEXT_HINT Type in 9-(-8) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6-8-(-8) = 9-(-8) strategic 9 OK typein 9-(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6-8+8 = 9+8 strategic 1 OK clt y/6-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6 = 9+8 strategic 1 OK clt 9+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:54:58.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [9]+[8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 17 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6 = 17 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:14.0 HINT HINT ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:15.0 HINT HINT ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 2 NEXT_HINT Type in y/6*6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 3 OK typein y/6 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:22.0 HINT HINT ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:24.0 HINT HINT ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 5 NEXT_HINT Type in 17*6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 6 OK typein 17 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/6*6 = 17*6 strategic 7 OK mt y/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 6y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 6y/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6y/6 = 17*6 strategic 1 OK mt 17*6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:51.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT In the group above, you have [17]*[6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:55:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 102 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:56:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6y/6 = 102 strategic 1 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session58 2006-01-25 08:56:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = 3+x/10 strategic 1 BUG add 3 Since 3 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 3 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = 3+x/10 strategic 2 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:17.0 HINT HINT ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:18.0 HINT HINT ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 2 NEXT_HINT Type in -1-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 3 OK typein -1-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:30.0 HINT HINT ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:31.0 HINT HINT ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 5 NEXT_HINT Type in 3+x/10-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 6 OK typein 3+x/10-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-3 = 3+x/10-3 strategic 7 OK clt -1-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:16:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:00.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT 4 In the group above, you have [-1]+[-3]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = 3+x/10-3 strategic 1 OK clt 3+x/10-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK x/10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:17:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/10 strategic 1 ERROR clt -4 = x/10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/10 strategic 2 ERROR mt -4 = x/10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/10 strategic 3 ERROR mt -4 = x/10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/10 strategic 4 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:13.0 HINT HINT ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:15.0 HINT HINT ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 2 NEXT_HINT Type in -4*10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 3 OK typein -4 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:23.0 HINT HINT ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:24.0 HINT HINT ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 5 NEXT_HINT Type in x/10*10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 6 OK typein x/10 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 7 OK mt -4*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -40 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:18:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = x/10*10 strategic 1 ERROR clt -40 = x/10*10 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = x/10*10 strategic 2 OK mt x/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG x/10 x/10
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:17.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT x/10 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK x 10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:31.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK 10x/10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:19:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = 10x/10 strategic 1 ERROR mt -40 = 10x/10 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = 10x/10 strategic 2 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:09.0 HINT HINT ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:10.0 HINT HINT ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 2 NEXT_HINT Type in -40*10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 3 OK typein -40 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:19.0 HINT HINT ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:20.0 HINT HINT ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 5 NEXT_HINT Type in 10x/10*10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 6 OK typein 10x/10 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40*10 = 10x/10*10 strategic 7 OK mt -40*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:20:51.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 10 INITIAL_HINT In the group above, you have [-40]*[10]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK -400 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -400 = 10x/10*10 strategic 1 OK mt 10x/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 ERROR 10x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 7 OK 10x 10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK 10/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:35.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 100x/10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:21:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -400 = 100x/10 strategic 1 ERROR subtract 10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:00.0 HINT HINT ES_02 ES_02-8 EG41 -400 = 100x/10 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:02.0 HINT HINT ES_02 ES_02-8 EG41 -400 = 100x/10 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*10 = x/10*10 strategic 8 OK mt -4*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:24.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 14 INITIAL_HINT In the group above, you have [-4]*[10]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK -40 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = x/10*10 strategic 3 OK mt x/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:40.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 8 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 9 OK 10 x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:50.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:22:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 5 OK 10 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:23:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 OK 10x/10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:23:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = 10x/10 strategic 3 OK rf 10x/10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:23:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:23:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = x strategic 1 BUG subtract x You already solved the equation. x is -40. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = x/-7-2 strategic 1 BUG subtract 2 Since -2 is negative, you should add to remove it from the right side. Erase your last step and add 2 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = x/-7-2 strategic 2 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:12.0 HINT HINT ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:13.0 HINT HINT ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 2 NEXT_HINT Type in -9+2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 3 OK typein -9+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:27.0 HINT HINT ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:28.0 HINT HINT ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 5 NEXT_HINT Type in x/-7-2+2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 6 OK typein x/-7-2+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+2 = x/-7-2+2 strategic 7 OK clt -9+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:50.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-9]+[2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:24:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = x/-7-2+2 strategic 1 OK clt x/-7-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -x/7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = -x/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:21.0 HINT HINT ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:21.0 HINT HINT ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 2 NEXT_HINT Type in -7*7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 3 OK typein -7 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:30.0 HINT HINT ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:31.0 HINT HINT ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 5 NEXT_HINT Type in -x/7*7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 6 OK typein -x/7 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*7 = -x/7*7 strategic 7 OK mt -7*7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:25:52.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-7]*[7]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -49 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49 = -x/7*7 strategic 1 OK mt -x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:06.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -x 7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 7/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:23.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -7x/7 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49 = -7x/7 strategic 1 OK rf -7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49 = -x strategic 1 OK subtract -x default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:54.0 HINT HINT ES_02 ES_02-8 EG41 -49-(-x) = -x-(-x) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:26:55.0 HINT HINT ES_02 ES_02-8 EG41 -49-(-x) = -x-(-x) strategic 2 NEXT_HINT Type in -49-(-x) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49-(-x) = -x-(-x) strategic 3 OK typein -49-(-x) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:16.0 HINT HINT ES_02 ES_02-8 EG41 -49-(-x) = -x-(-x) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:17.0 HINT HINT ES_02 ES_02-8 EG41 -49-(-x) = -x-(-x) strategic 5 NEXT_HINT Type in -x-(-x) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49-(-x) = -x-(-x) strategic 6 OK typein -x-(-x) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49+x = -x+x strategic 1 OK clt -x+x default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49+x = 0 strategic 1 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49+x = 0 strategic 2 OK subtract -49 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:55.0 HINT HINT ES_02 ES_02-8 EG41 -49+x-(-49) = 0-(-49) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:27:57.0 HINT HINT ES_02 ES_02-8 EG41 -49+x-(-49) = 0-(-49) strategic 2 NEXT_HINT Type in -49+x-(-49) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49+x-(-49) = 0-(-49) strategic 3 OK typein -49+x-(-49) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:14.0 HINT HINT ES_02 ES_02-8 EG41 -49+x-(-49) = 0-(-49) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:15.0 HINT HINT ES_02 ES_02-8 EG41 -49+x-(-49) = 0-(-49) strategic 5 NEXT_HINT Type in 0-(-49) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49+x-(-49) = 0-(-49) strategic 6 OK typein 0-(-49) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -49+x+49 = 0+49 strategic 1 OK clt -49+x+49 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = 0+49 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:53.0 HINT HINT ES_02 ES_02-8 EG41 x = 0+49 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:54.0 HINT HINT ES_02 ES_02-8 EG41 x = 0+49 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:28:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = 0+49 strategic 4 OK clt 0+49 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:29:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 49 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:29:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4-1 = 2 strategic 1 BUG subtract 1 Since -1 is negative, you should add to remove it from the left side. Erase your last step and add 1 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:29:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4-1 = 2 strategic 2 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:00.0 HINT HINT ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:01.0 HINT HINT ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 2 NEXT_HINT Type in x/4-1+1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 3 OK typein x/4-1+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:20.0 HINT HINT ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:21.0 HINT HINT ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 5 NEXT_HINT Type in 2+1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 6 OK typein 2+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4-1+1 = 2+1 strategic 7 OK clt x/4-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = 2+1 strategic 1 OK clt 2+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = 3 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:30:59.0 HINT HINT ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:00.0 HINT HINT ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 2 NEXT_HINT Type in x/4*4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 3 OK typein x/4 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:13.0 HINT HINT ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:15.0 HINT HINT ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 5 NEXT_HINT Type in 3*4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 6 OK typein 3 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 3*4 strategic 7 OK mt x/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 4x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 4x/4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4x/4 = 3*4 strategic 1 OK mt 3*4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:31:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4x/4 = 12 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 9+(y/-8) strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:22.0 HINT HINT ES_02 ES_02-8 EG41 2-9 = 9+(y/-8)-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:23.0 HINT HINT ES_02 ES_02-8 EG41 2-9 = 9+(y/-8)-9 strategic 2 NEXT_HINT Type in 2-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-9 = 9+(y/-8)-9 strategic 3 OK typein 2-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:36.0 HINT HINT ES_02 ES_02-8 EG41 2-9 = 9+(y/-8)-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:37.0 HINT HINT ES_02 ES_02-8 EG41 2-9 = 9+(y/-8)-9 strategic 5 NEXT_HINT Type in 9+(y/-8)-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:32:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-9 = 9+(y/-8)-9 strategic 6 OK typein 9+(y/-8)-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-9 = 9-y/8-9 strategic 1 OK clt 2-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR 13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR -13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:20.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT -13 In the group above, you have [2]+[-9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = 9-y/8-9 strategic 1 OK clt 9-y/8-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK -y/8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -y/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = -y/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:52.0 HINT HINT ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:52.0 HINT HINT ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 2 NEXT_HINT Type in -7*8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:33:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 3 OK typein -7 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:00.0 HINT HINT ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:01.0 HINT HINT ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 5 NEXT_HINT Type in -y/8*8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 6 OK typein -y/8 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*8 = -y/8*8 strategic 7 OK mt -7*8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR 56 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK -56 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56 = -y/8*8 strategic 1 OK mt -y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -8y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 8/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -8y/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:34:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56 = -8y/8 strategic 1 OK rf -8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56 = -y strategic 1 BUG subtract -56 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56 = -y strategic 2 OK subtract -y default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:32.0 HINT HINT ES_02 ES_02-8 EG41 -56-(-y) = -y-(-y) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:35.0 HINT HINT ES_02 ES_02-8 EG41 -56-(-y) = -y-(-y) strategic 2 NEXT_HINT Type in -56-(-y) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56-(-y) = -y-(-y) strategic 3 OK typein -56-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:48.0 HINT HINT ES_02 ES_02-8 EG41 -56-(-y) = -y-(-y) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:35:49.0 HINT HINT ES_02 ES_02-8 EG41 -56-(-y) = -y-(-y) strategic 5 NEXT_HINT Type in -y-(-y) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56-(-y) = -y-(-y) strategic 6 OK typein -y-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56+y = -y+y strategic 1 OK clt -y+y default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56+y = 0 strategic 1 ERROR clt -56+y = 0 strategic default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56+y = 0 strategic 2 OK subtract -56 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:20.0 HINT HINT ES_02 ES_02-8 EG41 -56+y-(-56) = 0-(-56) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:21.0 HINT HINT ES_02 ES_02-8 EG41 -56+y-(-56) = 0-(-56) strategic 2 NEXT_HINT Type in -56+y-(-56) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56+y-(-56) = 0-(-56) strategic 3 OK typein -56+y-(-56) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:44.0 HINT HINT ES_02 ES_02-8 EG41 -56+y-(-56) = 0-(-56) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:45.0 HINT HINT ES_02 ES_02-8 EG41 -56+y-(-56) = 0-(-56) strategic 5 NEXT_HINT Type in 0-(-56) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:36:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56+y-(-56) = 0-(-56) strategic 6 OK typein 0-(-56) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -56+y+56 = 0+56 strategic 1 OK clt -56+y+56 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 0+56 strategic 1 OK clt 0+56 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK 56 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/-9+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:43.0 HINT HINT ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:44.0 HINT HINT ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 2 NEXT_HINT Type in -7-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 3 OK typein -7-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:53.0 HINT HINT ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:37:53.0 HINT HINT ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 5 NEXT_HINT Type in y/-9+2-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 6 OK typein y/-9+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-2 = y/-9+2-2 strategic 7 OK clt -7-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:21.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT -5 In the group above, you have [-7]+[-2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = y/-9+2-2 strategic 1 OK clt y/-9+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -y/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = -y/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:50.0 HINT HINT ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:51.0 HINT HINT ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 2 NEXT_HINT Type in -9*9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 3 OK typein -9 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:57.0 HINT HINT ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:38:58.0 HINT HINT ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 5 NEXT_HINT Type in -y/9*9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 6 OK typein -y/9 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*9 = -y/9*9 strategic 7 OK mt -9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR 91 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR -91 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR -91 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:29.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 10 INITIAL_HINT -91 In the group above, you have [-9]*[9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK -81 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81 = -y/9*9 strategic 1 OK mt -y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -9/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:39:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 9/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK -9y/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81 = -9y/9 strategic 1 OK rf -9y/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81 = -y strategic 1 OK subtract -y default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:24.0 HINT HINT ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:25.0 HINT HINT ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 2 NEXT_HINT Type in -81-(-y) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 3 OK typein -81-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:47.0 HINT HINT ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:40:48.0 HINT HINT ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 5 NEXT_HINT Type in -y-(-y) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:06.0 HINT HINT ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 6 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:07.0 HINT HINT ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 7 NEXT_HINT Type in -y-(-y) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81-(-y) = -y-(-y) strategic 8 OK typein -y-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81+y = -y+y strategic 1 OK clt -y+y default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81+y = 0 strategic 1 OK subtract -81 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:36.0 HINT HINT ES_02 ES_02-8 EG41 -81+y-(-81) = 0-(-81) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:37.0 HINT HINT ES_02 ES_02-8 EG41 -81+y-(-81) = 0-(-81) strategic 2 NEXT_HINT Type in -81+y-(-81) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81+y-(-81) = 0-(-81) strategic 3 OK typein -81+y-(-81) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:41:58.0 HINT HINT ES_02 ES_02-8 EG41 -81+y-(-81) = 0-(-81) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:00.0 HINT HINT ES_02 ES_02-8 EG41 -81+y-(-81) = 0-(-81) strategic 5 NEXT_HINT Type in 0-(-81) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81+y-(-81) = 0-(-81) strategic 6 OK typein 0-(-81) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -81+y+81 = 0+81 strategic 1 OK clt -81+y+81 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 0+81 strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:36.0 HINT HINT ES_02 ES_02-8 EG41 y = 0+81 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:37.0 HINT HINT ES_02 ES_02-8 EG41 y = 0+81 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = 0+81 strategic 4 OK clt 0+81 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 OK 81 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-6) = -1 strategic 1 ERROR subtract 111111111111111111111111111111111111111 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-6) = -1 strategic 2 ERROR add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-6) = -1 strategic 3 BUG add -1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-6) = -1 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:40.0 HINT HINT ES_02 ES_02-8 EG41 2+(y/-6)-2 = -1-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:41.0 HINT HINT ES_02 ES_02-8 EG41 2+(y/-6)-2 = -1-2 strategic 2 NEXT_HINT Type in 2+(y/-6)-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:43:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-6)-2 = -1-2 strategic 3 OK typein 2+(y/-6)-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:00.0 HINT HINT ES_02 ES_02-8 EG41 2+(y/-6)-2 = -1-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:01.0 HINT HINT ES_02 ES_02-8 EG41 2+(y/-6)-2 = -1-2 strategic 5 NEXT_HINT Type in -1-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-6)-2 = -1-2 strategic 6 OK typein -1-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-y/6-2 = -1-2 strategic 1 OK clt 2-y/6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6 = -1-2 strategic 1 OK multiply 6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:36.0 HINT HINT ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:37.0 HINT HINT ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 2 NEXT_HINT Type in -y/6*6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 3 OK typein -y/6 6 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:53.0 HINT HINT ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:44:54.0 HINT HINT ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 5 NEXT_HINT Type in (-1-2)*6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:45:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 6 OK typein (-1-2) 6 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:45:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = (-1-2)*6 strategic 7 OK clt -1-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:45:18.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-1]+[-2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:45:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:45:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/6*6 = -3*6 strategic 1 OK mt -y/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 6/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -6y/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6y/6 = -3*6 strategic 1 ERROR clt -6y/6 = -3*6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6y/6 = -3*6 strategic 2 OK mt -3*6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR 18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6y/6 = -18 strategic 1 OK rf -6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y = -18 strategic 1 OK subtract -y default_condition [SkillRule: Make variable positive; {add x in -x; move neg var to other side}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:47.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -18-(-y) strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:46:48.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -18-(-y) strategic 2 NEXT_HINT Type in -y-(-y) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y-(-y) = -18-(-y) strategic 3 OK typein -y-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:05.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -18-(-y) strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:06.0 HINT HINT ES_02 ES_02-8 EG41 -y-(-y) = -18-(-y) strategic 5 NEXT_HINT Type in -18-(-y) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y-(-y) = -18-(-y) strategic 6 OK typein -18-(-y) default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y+y = -18+y strategic 1 OK clt -y+y default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:47:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -18+y strategic 1 ERROR clt 0 = -18+y strategic default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -18+y strategic 2 OK subtract -18 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:08.0 HINT HINT ES_02 ES_02-8 EG41 0-(-18) = -18+y-(-18) strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:08.0 HINT HINT ES_02 ES_02-8 EG41 0-(-18) = -18+y-(-18) strategic 2 NEXT_HINT Type in 0-(-18) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-(-18) = -18+y-(-18) strategic 3 OK typein 0-(-18) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:22.0 HINT HINT ES_02 ES_02-8 EG41 0-(-18) = -18+y-(-18) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:23.0 HINT HINT ES_02 ES_02-8 EG41 0-(-18) = -18+y-(-18) strategic 5 NEXT_HINT Type in -18+y-(-18) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-(-18) = -18+y-(-18) strategic 6 OK typein -18+y-(-18) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+18 = -18+y+18 strategic 1 OK clt 0+18 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK 18 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = -18+y+18 strategic 1 ERROR mt 18 = -18+y+18 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:48:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = -18+y+18 strategic 2 OK clt -18+y+18 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = -4 strategic 1 ERROR add 4 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = -4 strategic 2 BUG add -4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = -4 strategic 3 ERROR add -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = -4 strategic 4 ERROR subtract -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:46.0 HINT HINT ES_02 ES_02-9 EG44 -9/x = -4 strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:47.0 HINT HINT ES_02 ES_02-9 EG44 -9/x = -4 strategic 6 NEXT_HINT -9/x is -9 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:51.0 HINT HINT ES_02 ES_02-9 EG44 -9/x = -4 strategic 7 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:49:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = -4 strategic 8 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:50:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x*x = -4x strategic 1 OK mt -9/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:50:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -4x strategic 1 BUG subtract -4 In -4x, x is multiplied by -4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:50:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -4x strategic 2 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:50:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/-4 = -4x/-4 strategic 1 OK rf -9/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:50:56.0 HINT HINT ES_02 ES_02-9 EG44 -9/-4 = -4x/-4 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:50:57.0 HINT HINT ES_02 ES_02-9 EG44 -9/-4 = -4x/-4 strategic 3 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/-4 = -4x/-4 strategic 4 OK rf -9/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/4 = -4x/-4 strategic 1 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = 10/x strategic 1 ERROR subtract x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:17.0 HINT HINT ES_02 ES_02-9 EG44 -10 = 10/x strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:18.0 HINT HINT ES_02 ES_02-9 EG44 -10 = 10/x strategic 3 NEXT_HINT 10/x is 10 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:21.0 HINT HINT ES_02 ES_02-9 EG44 -10 = 10/x strategic 4 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = 10/x strategic 5 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:27.0 HINT HINT ES_02 ES_02-9 EG44 -10x = 10/x*x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:28.0 HINT HINT ES_02 ES_02-9 EG44 -10x = 10/x*x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10x = 10/x*x strategic 3 OK mt 10/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10x = 10 strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10x/-10 = 10/-10 strategic 1 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:51:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 10/-10 strategic 1 OK rf 10/-10 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -5/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = -5/x*x strategic 1 ERROR clt -6x = -5/x*x strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = -5/x*x strategic 2 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = -5 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x/-6 = -5/-6 strategic 1 OK rf -5/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x/-6 = 5/6 strategic 1 ERROR mt -6x/-6 = 5/6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x/-6 = -5/-6 strategic 2 ERROR mt -6x/-6 = -5/-6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x/-6 = -5/-6 strategic 3 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -5/-6 strategic 1 OK rf -5/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:52:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x = 9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x*x = 9x strategic 1 OK mt 6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/9 = 9x/9 strategic 1 OK rf 6/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/3 = 9x/9 strategic 1 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/3 = x strategic 1 BUG rf 2/3 = x strategic You already solved the equation. x is 2/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -7/x*x strategic 1 OK mt -7/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -7 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:53:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = -7/-4 strategic 1 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -7/-4 strategic 1 BUG rds x = -7/-4 strategic You already solved the equation. x is -7/-4. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -7/-4 strategic 2 OK rf -7/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y = -7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:21.0 HINT HINT ES_02 ES_02-10 EG44 6/y*y = -7y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:22.0 HINT HINT ES_02 ES_02-10 EG44 6/y*y = -7y strategic 2 NEXT_HINT Type in 6/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = -7y strategic 3 OK typein 6/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:32.0 HINT HINT ES_02 ES_02-10 EG44 6/y*y = -7y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:34.0 HINT HINT ES_02 ES_02-10 EG44 6/y*y = -7y strategic 5 NEXT_HINT Type in -7y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = -7y strategic 6 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = -7y strategic 7 OK mt 6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 6y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 6/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:54:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:55:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 6y/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:55:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 6y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:55:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6y/y = -7y strategic 1 OK rf 6y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:55:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session59 2006-01-27 08:55:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG -y -Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 8/x strategic 1 ERROR mt -7 = 8/x strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 8/x strategic 2 ERROR clt -7 = 8/x strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 8/x strategic 3 ERROR subtract 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 8/x strategic 4 ERROR add 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:28.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 8/x strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:29.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 8/x strategic 6 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:32.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 8/x strategic 7 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 8/x strategic 8 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:40.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:41.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 2 NEXT_HINT Type in -7x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:17:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 3 OK typein -7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:00.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:01.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 5 NEXT_HINT Type in 8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 6 OK typein 8/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 7 ERROR clt -7x = 8/x*x strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:22.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 8 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:23.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 9 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8/x*x strategic 10 OK mt 8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 8 x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 8/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 ERROR 8/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 3 ERROR 8/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:18:54.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 4 INITIAL_HINT 8/x You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 5 ERROR 1/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 6 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 8x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8x/x strategic 1 ERROR mt -7x = 8x/x strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:24.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8x/x strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:25.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8x/x strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8x/x strategic 4 OK rf 8x/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG -x -X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:52.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:19:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:11.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:46.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 4 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 5 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:20:59.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 3 INITIAL_HINT x The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:13.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR 8x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:27.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT 8x Above is the simplified form of the expression 8x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8 strategic 1 ERROR subtract x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:43.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:44.0 HINT HINT ES_02 ES_02-10 EG44 -7x = 8 strategic 3 NEXT_HINT -7x is -7 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 8 strategic 4 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:53.0 HINT HINT ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:21:55.0 HINT HINT ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 2 NEXT_HINT Type in -7x/-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 3 OK typein -7x/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:04.0 HINT HINT ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:10.0 HINT HINT ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 5 NEXT_HINT Type in 8/-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 6 OK typein 8/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 7 ERROR clt -7x/-7 = 8/-7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = 8/-7 strategic 8 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG 7 7
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 BUG -7 -7
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = 8/-7 strategic 1 OK rf 8/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:22:58.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 11 INITIAL_HINT Above is the simplified form of the expression 8/-7. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK -8/7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = -4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:22.0 HINT HINT ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:23.0 HINT HINT ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 2 NEXT_HINT Type in -2/x*x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 3 OK typein -2/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:45.0 HINT HINT ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:46.0 HINT HINT ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 5 NEXT_HINT Type in -4x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 6 OK typein -4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:23:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = -4x strategic 7 OK mt -2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -2 x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR -2/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 ERROR -2/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:15.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 3 INITIAL_HINT -2/1 You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 4 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -2x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/x = -4x strategic 1 OK rf -2x/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 2 2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:24:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -4x strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:03.0 HINT HINT ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:04.0 HINT HINT ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 2 NEXT_HINT Type in -2/-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 3 OK typein -2/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:20.0 HINT HINT ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:21.0 HINT HINT ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 5 NEXT_HINT Type in -4x/-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 6 OK typein -4x/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/-4 = -4x/-4 strategic 7 OK rf -2/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR 2 4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:45.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT 2 4 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:25:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:08.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 INITIAL_HINT -4 The common factor between the numerator and denominator of [-2]/[-4] is -2. This set of entry boxes represent the simplified form of [-2]/[-4]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:21.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-2]/[-4] is -2. This set of entry boxes represent the simplified form of [-2]/[-4]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:34.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT Above is the simplified form of the expression -2/-4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK 1/2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1/2 = -4x/-4 strategic 1 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 BUG 4 4
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:26:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 2/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:13.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:14.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2/y*y strategic 2 NEXT_HINT Type in 3y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2/y*y strategic 3 OK typein 3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:22.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:23.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2/y*y strategic 5 NEXT_HINT Type in 2/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2/y*y strategic 6 ERROR typein 2y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:30.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2/y*y strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:30.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2/y*y strategic 8 NEXT_HINT Type in 2/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2/y*y strategic 9 OK typein 2/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2/y*y strategic 10 OK mt 2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 2 y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 2/1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 ERROR 2/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:27:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 2y/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 2y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2y/y strategic 1 ERROR mt 3y = 2y/y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2y/y strategic 2 BUG divide 2 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:22.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2y/y strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:23.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2y/y strategic 4 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2y/y strategic 5 OK rf 2y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:28:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2y/y strategic 6 OK rf 2y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:20.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:20.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:33.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2y/y strategic 7 OK rf 2y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:29:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK 2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:04.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:04.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2 strategic 2 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:08.0 HINT HINT ES_02 ES_02-10 EG44 3y = 2 strategic 3 NEXT_HINT Divide both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2 strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:23.0 HINT HINT ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:24.0 HINT HINT ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 2 NEXT_HINT Type in 3y/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 3 OK typein 3y/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:32.0 HINT HINT ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:33.0 HINT HINT ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 5 NEXT_HINT Type in 2/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 6 OK typein 2/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 7 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:30:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = 2/3 strategic 1 BUG rf y = 2/3 strategic You already solved the equation. y is 2/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y = -6 strategic 1 BUG multiply 7 To remove the coefficient of 7/y, you need to divide. Erase your last step and then divide both sides by 7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y = -6 strategic 2 ERROR divide 7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:39.0 HINT HINT ES_02 ES_02-10 EG44 7/y = -6 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:40.0 HINT HINT ES_02 ES_02-10 EG44 7/y = -6 strategic 4 NEXT_HINT 7/y is 7 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:43.0 HINT HINT ES_02 ES_02-10 EG44 7/y = -6 strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y = -6 strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:51.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = -6y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:31:52.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = -6y strategic 2 NEXT_HINT Type in 7/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = -6y strategic 3 OK typein 7/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:01.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = -6y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:02.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = -6y strategic 5 NEXT_HINT Type in -6y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = -6y strategic 6 OK typein -6y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = -6y strategic 7 OK mt 7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 7 y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 7y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/y = -6y strategic 1 BUG divide -6 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:35.0 HINT HINT ES_02 ES_02-10 EG44 7y/y = -6y strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:36.0 HINT HINT ES_02 ES_02-10 EG44 7y/y = -6y strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:32:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/y = -6y strategic 4 OK rf 7y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:35:42.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:35:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:35:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = -6y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:37.0 HINT HINT ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:38.0 HINT HINT ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 2 NEXT_HINT Type in 7/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 3 OK typein 7/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:46.0 HINT HINT ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:47.0 HINT HINT ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 5 NEXT_HINT Type in -6y/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:37:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 6 BUG typein -6y/6 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 7 OK typein -6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 8 OK rf 7/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:09.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT Above is the simplified form of the expression 7/-6. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK -7/6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/6 = -6y/-6 strategic 1 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y = 5 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:50.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:38:51.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 2 NEXT_HINT Type in -7/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 3 OK typein -7/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:02.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:03.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 5 NEXT_HINT Type in 5y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 6 OK typein 5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 5y strategic 7 OK mt -7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -7 y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -7y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/y = 5y strategic 1 OK rf -7y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 7 7
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 5y strategic 1 ERROR rf -7 = 5y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 5y strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:48.0 HINT HINT ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:49.0 HINT HINT ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 2 NEXT_HINT Type in -7/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 3 OK typein -7/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:57.0 HINT HINT ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:39:58.0 HINT HINT ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 5 NEXT_HINT Type in 5y/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:40:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 6 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:40:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/5 = 5y/5 strategic 7 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:40:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y = -7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:28.0 HINT HINT ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:29.0 HINT HINT ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 2 NEXT_HINT Type in -5/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 3 OK typein -5/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:38.0 HINT HINT ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:39.0 HINT HINT ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 5 NEXT_HINT Type in -7y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 6 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = -7y strategic 7 OK mt -5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -5 y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:41:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -5y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/y = -7y strategic 1 OK rf -5y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:13.0 HINT HINT ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:14.0 HINT HINT ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 2 NEXT_HINT Type in -5/-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 3 OK typein -5/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:23.0 HINT HINT ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:24.0 HINT HINT ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 5 NEXT_HINT Type in -7y/-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 6 BUG typein -7y/7 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 7 OK typein -7y/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/-7 = -7y/-7 strategic 8 OK rf -5/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:42:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 5/7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/7 = -7y/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -8/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:22.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:23.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 2 NEXT_HINT Type in -8x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 3 OK typein -8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:30.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:31.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 5 NEXT_HINT Type in -8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 6 ERROR typein -8x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:39.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:40.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 8 NEXT_HINT Type in -8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 9 OK typein -8/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 10 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:43:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -8x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8x/x strategic 1 OK rf -8x/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:23.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:24.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 2 NEXT_HINT Type in -8x/-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 3 OK typein -8/-8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:33.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:35.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 5 NEXT_HINT Type in -8/-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 6 OK typein -8/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-8*x = -8/-8 strategic 1 OK rf -8/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG -8 -8
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:44:59.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:11.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-8] is -8. This set of entry boxes represent the simplified form of [-8]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:23.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-8] is -8. This set of entry boxes represent the simplified form of [-8]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR -8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:36.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT -8 Above is the simplified form of the expression -8/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = -8/-8 strategic 1 OK rf -8/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:45:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y = -7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:09.0 HINT HINT ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:09.0 HINT HINT ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 2 NEXT_HINT Type in -8/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 3 OK typein -8/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:17.0 HINT HINT ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:18.0 HINT HINT ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 5 NEXT_HINT Type in -7y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 6 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/y*y = -7y strategic 7 OK mt -8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -8y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/y = -7y strategic 1 OK rf -8y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:58.0 HINT HINT ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:46:59.0 HINT HINT ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 2 NEXT_HINT Type in -8/-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 3 OK typein -8/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:06.0 HINT HINT ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:07.0 HINT HINT ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 5 NEXT_HINT Type in -7y/-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 6 OK typein -7y/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-7 = -7y/-7 strategic 7 OK rf -8/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 8/7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/7 = -7y/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/y = -7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:45.0 HINT HINT ES_02 ES_02-10 EG44 2/y*y = -7y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:46.0 HINT HINT ES_02 ES_02-10 EG44 2/y*y = -7y strategic 2 NEXT_HINT Type in 2/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/y*y = -7y strategic 3 OK typein 2/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:55.0 HINT HINT ES_02 ES_02-10 EG44 2/y*y = -7y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:47:56.0 HINT HINT ES_02 ES_02-10 EG44 2/y*y = -7y strategic 5 NEXT_HINT Type in -7y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/y*y = -7y strategic 6 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/y*y = -7y strategic 7 OK mt 2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 2y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 2y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/y = -7y strategic 1 ERROR mt 2y/y = -7y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/y = -7y strategic 2 ERROR rds 2y/y = -7y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/y = -7y strategic 3 OK rf 2y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:39.0 HINT HINT ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:40.0 HINT HINT ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 2 NEXT_HINT Type in 2/-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 3 OK typein 2/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:46.0 HINT HINT ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:47.0 HINT HINT ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 5 NEXT_HINT Type in -7y/-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 6 OK typein -7y/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:48:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/-7 = -7y/-7 strategic 7 OK rf 2/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 2/7 2/7
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 2/7 2/7
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:06.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT 2/7 Above is the simplified form of the expression 2/-7. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -2/7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/7 = -7y/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = -7/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:34.0 HINT HINT ES_02 ES_02-10 EG44 2y = -7/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:35.0 HINT HINT ES_02 ES_02-10 EG44 2y = -7/y*y strategic 2 NEXT_HINT Type in 2y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7/y*y strategic 3 OK typein 2y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7/y*y strategic 4 ERROR typein 2/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:50.0 HINT HINT ES_02 ES_02-10 EG44 2y = -7/y*y strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:51.0 HINT HINT ES_02 ES_02-10 EG44 2y = -7/y*y strategic 6 NEXT_HINT Type in -7/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:49:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7/y*y strategic 7 OK typein -7/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7/y*y strategic 8 OK mt -7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -7y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7y/y strategic 1 ERROR mt 2y = -7y/y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7y/y strategic 2 OK rf -7y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG 2 2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:44.0 HINT HINT ES_02 ES_02-10 EG44 2y = -7 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:50:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7 strategic 3 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7y/y strategic 3 OK rf -7y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7 strategic 4 ERROR rf 2y = -7 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7 strategic 5 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = -7 strategic 6 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:31.0 HINT HINT ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:32.0 HINT HINT ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 2 NEXT_HINT Type in 2y/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 3 OK typein 2y/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:38.0 HINT HINT ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:39.0 HINT HINT ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 5 NEXT_HINT Type in -7/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 6 OK typein -7/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = -7/2 strategic 7 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:51:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -7/2 strategic 1 BUG rf y = -7/2 strategic You already solved the equation. y is -7/2. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -7/2 strategic 2 BUG rf y = -7/2 strategic You already solved the equation. y is -7/2. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:07.0 HINT HINT ES_02 ES_02-10 EG44 y = -7/2 strategic 3 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:08.0 HINT HINT ES_02 ES_02-10 EG44 y = -7/2 strategic 4 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 6/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:22.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:23.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6/y*y strategic 2 NEXT_HINT Type in 5y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6/y*y strategic 3 OK typein 5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:30.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:31.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6/y*y strategic 5 NEXT_HINT Type in 6/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6/y*y strategic 6 OK typein 6y/y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6y/y strategic 1 ERROR mt 5y = 6y/y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6y/y strategic 2 OK rf 6y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:56.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:52:57.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 2 NEXT_HINT Type in 5y/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 3 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:03.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:03.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 5 NEXT_HINT Type in 6/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 6 OK typein 6/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 7 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y = 5 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:37.0 HINT HINT ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:38.0 HINT HINT ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 2 NEXT_HINT Type in -9/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 3 OK typein -9/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:45.0 HINT HINT ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:46.0 HINT HINT ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 5 NEXT_HINT Type in 5y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 6 OK typein 5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = 5y strategic 7 OK mt -9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:53:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -9/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -9y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9y/y = 5y strategic 1 OK rf -9y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -9 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = 5y strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:23.0 HINT HINT ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:24.0 HINT HINT ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 2 NEXT_HINT Type in -9/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 3 ERROR typein -9y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:34.0 HINT HINT ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:35.0 HINT HINT ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 5 NEXT_HINT Type in -9/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 6 OK typein -9/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:42.0 HINT HINT ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:43.0 HINT HINT ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 8 NEXT_HINT Type in 5y/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 9 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/5 = 5y/5 strategic 10 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:54:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:55:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = -10/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:55:32.0 HINT HINT ES_02 ES_02-10 EG44 6x = -10/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:55:32.0 HINT HINT ES_02 ES_02-10 EG44 6x = -10/x*x strategic 2 NEXT_HINT Type in 6x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:55:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = -10/x*x strategic 3 OK typein 6x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:55:38.0 HINT HINT ES_02 ES_02-10 EG44 6x = -10/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:55:39.0 HINT HINT ES_02 ES_02-10 EG44 6x = -10/x*x strategic 5 NEXT_HINT Type in -10/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = -10/x*x strategic 6 OK typein -10/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = -10/x*x strategic 7 OK mt -10/x*x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -10x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -10/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -10x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = -10x/x strategic 1 OK rf -10x/x default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session60 2006-02-01 08:56:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -10 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:13:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -6/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:13:54.0 HINT HINT ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:13:55.0 HINT HINT ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 2 NEXT_HINT Type in -8y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 3 OK typein -8y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:01.0 HINT HINT ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:03.0 HINT HINT ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 5 NEXT_HINT Type in -6/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 6 OK typein -6/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 7 OK mt -6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -6y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6y/y strategic 1 OK rf -6y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:58.0 HINT HINT ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:14:59.0 HINT HINT ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 2 NEXT_HINT Type in -8y/-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 3 OK typein -8y/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:10.0 HINT HINT ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:11.0 HINT HINT ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 5 NEXT_HINT Type in -6/-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 6 OK typein -6/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 7 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y = 6 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:55.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = 6y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:15:55.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = 6y strategic 2 NEXT_HINT Type in 7/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = 6y strategic 3 OK typein 7/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:04.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = 6y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:05.0 HINT HINT ES_02 ES_02-10 EG44 7/y*y = 6y strategic 5 NEXT_HINT Type in 6y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = 6y strategic 6 OK typein 6y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = 6y strategic 7 ERROR rf 7/y*y = 6y strategic default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = 6y strategic 8 OK mt 7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 7y/7 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 7y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/y = 6y strategic 1 OK rf 7y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 6y strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:52.0 HINT HINT ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:16:54.0 HINT HINT ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 2 NEXT_HINT Type in 7/6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 3 OK typein 7/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:08.0 HINT HINT ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:10.0 HINT HINT ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 5 NEXT_HINT Type in 6y/6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 6 OK typein 6y/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/6 = 6y/6 strategic 7 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 6 6
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = -9/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:38.0 HINT HINT ES_02 ES_02-10 EG44 5y = -9/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:40.0 HINT HINT ES_02 ES_02-10 EG44 5y = -9/y*y strategic 2 NEXT_HINT Type in 5y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = -9/y*y strategic 3 OK typein 5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:45.0 HINT HINT ES_02 ES_02-10 EG44 5y = -9/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:46.0 HINT HINT ES_02 ES_02-10 EG44 5y = -9/y*y strategic 5 NEXT_HINT Type in -9/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = -9/y*y strategic 6 OK typein -9/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = -9/y*y strategic 7 OK mt -9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:17:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -9y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -9/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -9/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR -9/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR -9/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -9y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = -9y/y strategic 1 OK rf -9y/y default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK -9 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = -9 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:37.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:38.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 2 NEXT_HINT Type in 5y/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 3 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:46.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:46.0 HINT HINT ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 5 NEXT_HINT Type in -9/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 6 OK typein -9/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = -9/5 strategic 7 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:18:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG 5 5
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:19:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 BUG 5 5
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:19:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 BUG 5 5
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 39Uc7ru04l session61 2006-02-01 14:19:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 3hSu07XfGd session5 2005-09-30 08:55:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK Time spent taking scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session5 2005-09-30 08:55:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK Hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session5 2005-09-30 08:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK Total Cost of Scuba Lessons default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session5 2005-09-30 08:55:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:44:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 BUG 30 30
You entered 30 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:44:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 BUG 855.75 855.75
You entered 855.75 in the wrong row. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:45:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 OK r default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:45:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 OK 25.50r + 90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:45:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:45:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:46:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:46:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG 3x=21 3x=21
Please check to make sure that 3x=21 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:47:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 3x = 21 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK Amount of Carpet default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 BUG Dollars Dollars
You entered DOLLARS in the wrong column. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK Total Cost default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 2 BUG yard yard
YARD is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 3 OK Square yards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:48:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK q default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:49:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95q default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:49:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:50:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C1 1 OK Amount of Money Spent on Long Distance default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:50:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 1 OK Total Number of Points default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:50:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:51:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 1 BUG i i
You entered I in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:51:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C1 1 OK i default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:51:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 2 OK 5000 +5i default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 OK 40 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:51:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:51:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 2 OK 330 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:52:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 OK 46,000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:52:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 OK 27000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 1 ERROR 5399 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:53:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 2 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:53:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK Area of OCnsturctiin default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:53:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK Cost of Consruction default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:54:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK Square Feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:54:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:54:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:54:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 OK 39.50n default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:54:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:54:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 OK 235 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:55:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:55:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 OK 475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:56:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK Time from Now default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session6 2005-10-05 08:56:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK Hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK Total Distance the Jet Has FLown default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK Miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 ERROR 1 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 2 ERROR 1/5 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 3 ERROR 1.5 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C1 4 INITIAL_HINT 1.5 Define a variable for the time. HINT 1 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 5 BUG .5 .5
You entered 0.5 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C1 6 INITIAL_HINT .5 Define a variable for the time. HINT 1 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C1 7 NEXT_HINT To define a variable, enter a single letter to represent the time. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 8 OK h default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:17:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 ERROR 750h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 ERROR 1250-750h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 3 ERROR 1250-750h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 4 INITIAL_HINT 1250-750h Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 5 INITIAL_HINT 1250-750h Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 6 NEXT_HINT First consider the initial value of the total distance it has flown. Next consider how the total distance it has flown will change for each hour. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:18:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:19:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 7 ERROR 1250-750h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:19:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 8 INITIAL_HINT 1250-750h First consider the initial value of the total distance it has flown. Next consider how the total distance it has flown will change for each hour. HINT 2 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:19:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 9 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance it has flown plus the change in the total distance it has flown for each hour times the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:20:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 10 BUG 1250h 1250h
The total distance it has flown increases by 1250 each hour, but remember that it starts at 750 miles. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:20:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 11 OK 750+1250h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:21:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 ERROR 1 3/5 default_condition Convert unit, mixed Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:21:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 3 OK 1.6 default_condition Convert unit, mixed Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:25:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 1 INITIAL_HINT Read the problem statement. What information is given in question 3 about the total distance it has flown? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:26:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 2 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:26:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 3 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 4 ERROR 750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:26:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 5 ERROR 750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:26:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 BUG 1.4 1.4
Subtract the initial value, 750, from the time first before you divide by 1250. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 BUG 1.4 1.4
Subtract the initial value, 750, from the time first before you divide by 1250. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 3 BUG 2.2 2.2
You entered 2.2 in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 6 INITIAL_HINT 750 Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 7 INITIAL_HINT 750 Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 8 INITIAL_HINT 750 Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 4 ERROR 1.2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 5 INITIAL_HINT 1.2 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 6 NEXT_HINT You know that the expression 1250H + 750 represents the total distance it has flown. What value of the time will make the general expression 1250H + 750 output the given value of 1750 miles? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 7 NEXT_HINT Since the general expression for the total distance it has flown is 1250H + 750 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:27:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 8 NEXT_HINT Solve the equation 1250H + 750 = 1750. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:28:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250h+750=1750 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:28:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250H+750=1750 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:28:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250H+750 = 1750 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:28:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250H = 1000 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:28:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 9 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:28:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 1 INITIAL_HINT 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:29:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 2 NEXT_HINT You know that the expression 1250H + 750 represents the total distance it has flown. What value of the time will make the general expression 1250H + 750 output the given value of 3500 miles? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:29:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 3 INITIAL_HINT You know that the expression 1250H + 750 represents the total distance it has flown. What value of the time will make the general expression 1250H + 750 output the given value of 3500 miles? HINT 2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:29:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 3 OK 1250H+750=3500 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:29:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250H+750 = 3500 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:29:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250H = 2750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:30:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 4 ERROR 2 .2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:30:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 5 OK 2.2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:30:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C1 1 OK Number of Students enrolled in Algebra default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:30:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C2 1 OK Number of Students recieving an A or B default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:30:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 1 BUG 440 440
You entered 440 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 2 BUG 440 440
You entered 440 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01 R3C1 3 INITIAL_HINT 440 Define a variable for the number of students in algebra. HINT 1 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:10.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01 R3C1 4 NEXT_HINT To define a variable, enter a single letter to represent the number of students in algebra. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R4C1 1 OK 440 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 5 ERROR 440 *.25 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 6 ERROR 440 *.25 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01 R3C1 7 INITIAL_HINT 440 *.25 To define a variable, enter a single letter to represent the number of students in algebra. HINT 2 default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01 R3C1 8 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the number of students in algebra. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 9 OK r default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:31:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 1 OK .25r default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:32:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R5C1 1 OK 700 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:32:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 1 OK 0.25r=1125 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:32:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 2 OK 0.25R=1125 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:32:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 0.25R = 1125 strategic 1 OK divide .25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 3 OK 0.25R=1125 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:32:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 0.25R = 1125 strategic 2 BUG multiply .25 To remove the coefficient of 0.25R, you need to divide. Erase your last step and then divide both sides by 0.25. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 0.25R = 1125 strategic 3 OK divide .25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 4 OK 0.25R=1125 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C1 1 BUG 40 40
You entered 40 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C2 1 OK 40 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 0.25R = 1125 strategic 4 OK divide .25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 5 OK 0.25R=40 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 0.25R = 40 strategic 1 OK divide .25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C1 2 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 OK Number of People default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 OK Cost of Cake default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 OK t default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 OK .75t default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:34:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:35:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 1 OK 0.75t=120 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 2 OK 0.75T=120 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75T = 120 strategic 1 ERROR divide .25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75T = 120 strategic 2 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:35:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:36:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 3 OK 0.75T=36.75 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:36:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75T = 36.75 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:36:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C1 1 OK Number of Snow Cones Sold default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C2 1 OK Profit default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R2C2 1 OK Follars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C1 1 OK p default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:37:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 1 OK 1.25p-75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:37:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:37:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R5C1 1 OK 800 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:37:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 1 OK 1.25p-75=550 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:37:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 2 OK 1.25P-75=550 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25P-75 = 550 strategic 1 BUG subtract 75 Since -75 is negative, you should add to remove it from the left side. Erase your last step and add 75 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25P-75 = 550 strategic 2 OK add 75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25P = 625 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 1 OK 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 3 OK 1.25P-75=473.75 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25P-75 = 473.75 strategic 1 OK add 75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:38:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25P = 548.75 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:39:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 1 OK 439 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:39:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C1 1 OK Length of Mobile Telephone Call default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:39:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 1 BUG Total Cost ofthe Call Total Cost ofthe Call
Try the cost of a mobile telephone call. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:39:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 2 OK Total Cost of the Call default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 1 OK MINUTES default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 1 ERROR qw default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 2 OK q default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C2 1 OK 2.00 + 1.50q default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 1 OK 8 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:41:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R5C1 1 OK 2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 1 OK 2+1.5q=20 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 2 OK 2+1.5Q=20 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 2+1.5Q = 20 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.5Q = 18 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C1 1 OK 12 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 3 OK 2+1.5Q=54.5 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 2+1.5Q = 54.5 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.5Q = 52.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C1 1 OK 35 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK Cost fo the items default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK Total Cost of Order default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK a default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR 10 + 15%A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR 10 + 15%A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 INITIAL_HINT 10 + 15%A Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:52.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 4 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:44:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 5 ERROR 10 -15%A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 6 ERROR 10 -15%A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:01.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 7 INITIAL_HINT 10 -15%A There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:02.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 8 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 15%. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 9 ERROR -15A +10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:17.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R4C2 1 INITIAL_HINT You are given a value for the cost of the items. Find the total cost of the order. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:18.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R4C2 2 NEXT_HINT You are given a value for the cost of the items. Find the total cost of the order by calculating 0.85 times the cost of the items plus 10. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session7 2005-10-07 08:45:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 10 OK 0.85a + 10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:31:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:32:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 ERROR 202.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:33:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 2 ERROR 240 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:33:08.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R5C1 3 INITIAL_HINT 240 Read the problem statement. What information is given in question 2 about the cost of the items? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:33:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R5C1 4 NEXT_HINT Important information about the cost of the items is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:33:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 5 ERROR 212.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:33:55.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R5C1 6 INITIAL_HINT 212.5 Important information about the cost of the items is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:33:57.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R5C1 7 NEXT_HINT Type the cost of the items, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 8 OK 250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:34:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 1 BUG 0.85*116.25+10=A 0.85*116.25+10=A
Please check to make sure that 0.85*116.25+10=A is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0.85*116.25+10 = A strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:21.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0.85*116.25+10 = A strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85*116.25+10 = A strategic 3 OK mt 0.85*116.25 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 98.8125+10 = A strategic 1 OK clt 98.8125+10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 ERROR 108.81 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 2 ERROR 108.81 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 3 INITIAL_HINT 108.81 116.25 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 116.25 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:40.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 4 INITIAL_HINT 108.81 116.25 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 116.25 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:43.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 5 NEXT_HINT You know that the expression 0.85A + 10 represents the total cost of the order. What value of the cost of the items will make the general expression 0.85A + 10 output the given value of 116.25 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:48.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 6 NEXT_HINT Since the general expression for the total cost of the order is 0.85A + 10 and since the total cost of the order in this question is 116.25, set the two of them equal to find the cost of the items. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 7 ERROR 108.81 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:35:52.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 108.8125 = A strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 2 OK 0.85A+10=116.25 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85A+10 = 116.25 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85A = 106.25 strategic 1 OK divide 0.85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 8 OK 125 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 3 OK 0.85A+10=180 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85A+10 = 180 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85A = 170 strategic 1 OK divide .850 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:36:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:37:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK Cellular Phone Time default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:37:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 OK Balance on Next Bill default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK Dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:37:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK Minuts default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:38:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK y default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:38:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 OK 0.23y -7.87 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:38:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK 0.23y-7.87=38.13 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:38:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK 0.23Y-7.87=38.13 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23Y-7.87 = 38.13 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23Y = 46 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 3 OK 0.23Y-7.87=25 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23Y-7.87 = 25 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23Y = 32.87 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 BUG 25 25
You entered 25 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:39:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 2 BUG 142 142
142 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:40:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 3 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:40:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 1 OK Number of Hours from Now default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:40:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 1 OK HOURS default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:40:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C2 1 OK Temperature of da Liquid default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:40:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 1 OK Celsius default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:41:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C1 1 OK P default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:41:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 1 OK -35-2.5p default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:41:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R4C1 1 OK 12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:41:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R5C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:41:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 1 OK -35-2.5p=-100 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:41:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 2 OK -35-2.5P=-100 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5P = -100 strategic 1 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5P = -65 strategic 1 BUG divide 2.5 In this equation, P is multiplied by -2.5. Dividing by 2.5 leaves -P, so you still need to remove the negative sign. It is better to divide by -2.5, since that would leave P. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5P = -65 strategic 2 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 1 OK 26 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 3 OK -35-2.5P=-0 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5P = -0 strategic 1 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5P = 35 strategic 1 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:42:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 OK -14 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:43:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 1 OK Digging Time default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:43:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 1 OK Depth of the Mine default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 1 BUG HOURS HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 2 OK Month default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 1 OK Feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK i default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 1 ERROR 1375i-9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 2 ERROR 1375i-9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:46.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 3 INITIAL_HINT 1375i-9 Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 4 INITIAL_HINT 1375i-9 Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:44:48.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 5 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 6 BUG -1375i-9 -1375i-9
Think about what changes and what doesn't. How much does the depth of the mine change for each month of the digging time? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 7 ERROR 1375-i9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 8 ERROR 1375-i9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 9 INITIAL_HINT 1375-i9 First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 10 INITIAL_HINT 1375-i9 First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 11 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 12 ERROR 1375-i9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:40.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:41.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -9 times the digging time minus 1375. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:45:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 13 ERROR =9-1375i default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 14 BUG -9-1375i -9-1375i
Think about what changes and what doesn't. How much does the depth of the mine change for each month of the digging time? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 15 BUG -9-1375i -9-1375i
Think about what changes and what doesn't. How much does the depth of the mine change for each month of the digging time? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:04.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 16 INITIAL_HINT -9-1375i Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 17 NEXT_HINT Write an expression that means the same thing as -1375 minus 9 times the digging time. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 18 ERROR -1375-9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 19 BUG -1375i-9 -1375i-9
Think about what changes and what doesn't. How much does the depth of the mine change for each month of the digging time? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 20 INITIAL_HINT -1375i-9 Write an expression that means the same thing as -1375 minus 9 times the digging time. HINT 4 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:24.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 21 NEXT_HINT Enter -1375 - 9I HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 22 ERROR -1375- default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:33.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R3C2 23 INITIAL_HINT -1375- Enter -1375 - 9I HINT 5 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 24 OK -1375-9I default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 BUG 4 4
4 is the the digging time in years, but we want to use months. How many months are in four years? BUG default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 2 OK 48 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 OK -120 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:47:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9i=0 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:47:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 OK -1375-9I=0 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9I = 0 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:48:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9I = 1375 strategic 1 BUG multiply -9 To remove the coefficient of -9I, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:48:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9I = 1375 strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:48:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 OK -152.7777778 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:49:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 BUG -1375-9I=2068 -1375-9I=2068
Please check to make sure that -1375-9I=2068 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:49:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 4 OK -1375-9I=-2068 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:49:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9I = -2068 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:49:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9I = -693 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:49:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 1 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:49:53.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:05.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:14.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:45.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5(2-6) strategic 1 ERROR mt -5(2-6) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:50:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5(2-6) strategic 2 OK distribute -5(2-6) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:05.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5*2-5*-6 strategic 1 OK mt -5*2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:07.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10-5*-6 strategic 1 OK mt 5*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:19.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10-(-30) strategic 1 OK rds -10-(-30) strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:22.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10+30 strategic 1 OK clt -10+30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:34.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+10)*-1 strategic 1 OK clt -9+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:37.0 CYCLE CYCLE ES_02 ES_02-1 EG30 1*-1 strategic 1 OK mt 1*-1 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:43.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2(-3-9) strategic 1 OK distribute -2(-3-9) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:47.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2*-3-2*-9 strategic 1 ERROR clt -2*-3-2*-9 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:53.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2*-3-2*-9 strategic 2 OK mt -2*-3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:55.0 CYCLE CYCLE ES_02 ES_02-1 EG31 6-2*-9 strategic 1 OK mt 2*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:51:59.0 CYCLE CYCLE ES_02 ES_02-1 EG31 6-(-18) strategic 1 OK rds 6-(-18) strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:02.0 CYCLE CYCLE ES_02 ES_02-1 EG31 6+18 strategic 1 OK clt 6+18 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:09.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6-6)*5 strategic 1 OK clt -6-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:12.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -12*5 strategic 1 OK mt -12*5 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:18.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -1*-2-9 strategic 1 OK mt -1*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:22.0 CYCLE CYCLE ES_02 ES_02-1 EG29 2-9 strategic 1 ERROR rds 2-9 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:25.0 CYCLE CYCLE ES_02 ES_02-1 EG29 2-9 strategic 2 OK clt 2-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(7+7) strategic 1 OK distribute -9(7+7) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:52:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -63+-63 default_condition distribute-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(7+7) strategic 2 OK distribute -9(7+7) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -63+-63 default_condition distribute-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -63-63 strategic 1 ERROR rf -63-63 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -63-63 strategic 2 ERROR rds -63-63 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -63-63 strategic 3 OK clt -63-63 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -126 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:53:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-9)*-8 strategic 1 ERROR mt (-2-9)*-8 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-9)*-8 strategic 2 ERROR rds (-2-9)*-8 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-9)*-8 strategic 3 OK clt -2-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -11*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -11*-8 strategic 1 OK mt -11*-8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 88 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-3*7 strategic 1 OK mt 3*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -3*7 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:54:52.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -3*-21 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -2-21 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-21 strategic 1 OK clt -2-21 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -23 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-10)*-4 strategic 1 ERROR rds (0-10)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-10)*-4 strategic 2 OK clt 0-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -10*-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -10*-4 strategic 1 OK mt -10*-4 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:55:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 40 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session8 2005-10-14 08:56:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-6-3) strategic 1 OK distribute -6(-6-3) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:16:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2(-4-1) strategic 1 OK distribute 2(-4-1) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:16:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -8-2 default_condition distribute-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:16:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2 strategic 1 ERROR rds -8-2 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:16:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2 strategic 2 OK clt -8-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:16:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -10 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-4*-4 strategic 1 OK mt 4*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -5 * -4 -5 * -4
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG -5 * -4 -5 * -4
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -5 * -4 -5 * -4
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR -20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR -20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR -20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 ERROR -20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR -20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:17:42.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 10 INITIAL_HINT -20 You need to perform multiplication in -1-4*-4. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:18:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 11 BUG 15 15
Just multiply -4*-4. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:18:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 12 ERROR 16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:18:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 13 ERROR -16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:18:39.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 14 INITIAL_HINT -16 You need to perform multiplication in -1-4*-4. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:18:46.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 15 INITIAL_HINT -16 You need to perform multiplication in -1-4*-4. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:19:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 16 OK -1-(-16) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:19:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1+16 strategic 1 OK clt -1+16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:19:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 17 OK 15 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:19:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+6*-7 strategic 1 OK mt 6*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:19:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -3+(-42) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-42 strategic 1 OK clt -3-42 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -45 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4*-8+6 strategic 1 OK mt -4*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 32+6 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 32+6 strategic 1 OK clt 32+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:51.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 38 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:20:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 4(-9-7) strategic 1 OK distribute 4(-9-7) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:21:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -36-28 default_condition distribute-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:21:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -36-28 strategic 1 OK clt -36-28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:21:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -64 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:21:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (7-1)*-3 strategic 1 OK clt 7-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:21:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 6*-3 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:21:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 6*-3 strategic 1 OK mt 6*-3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -18 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+7*-5 strategic 1 ERROR clt -4+7*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+7*-5 strategic 2 OK mt 7*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -4 -35 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-35 strategic 1 ERROR rds -4-35 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-35 strategic 2 OK clt -4-35 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:22:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -39 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:03.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -7(-21+7) strategic 1 ERROR add 7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -7(-21+7) strategic 2 OK distribute -7(-21+7) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:15.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -7*-21-7*7 strategic 1 ERROR clt x = -7*-21-7*7 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:19.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -7*-21-7*7 strategic 2 ERROR rds x = -7*-21-7*7 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -7*-21-7*7 strategic 3 OK mt -7*-21 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:29.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = 147-7*7 strategic 1 OK mt 7*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:36.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = 147-49 strategic 1 OK clt 147-49 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:23:58.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (-42-30)*9 strategic 1 OK clt -42-30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:01.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = -72*9 strategic 1 OK mt -72*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:08.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-2+3)*6 strategic 1 ERROR mt x = (-2+3)*6 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:14.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-2+3)*6 strategic 2 OK clt -2+3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:17.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = 1*6 strategic 1 OK mt 1*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:25.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -42(-50-22) = x strategic 1 OK distribute -42(-50-22) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -42*-50-42*-22 = x strategic 1 OK mt -42*-50 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:32.0 CYCLE CYCLE ES_02 ES_02-3 EG35C 2100-42*-22 = x strategic 1 OK mt 42*-22 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:36.0 CYCLE CYCLE ES_02 ES_02-3 EG35C 2100-(-924) = x strategic 1 OK clt 2100-(-924) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:47.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (17-46)*-37 = y strategic 1 OK clt 17-46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:51.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -29*-37 = y strategic 1 OK mt -29*-37 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:24:59.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -39*36+49 strategic 1 OK mt -39*36 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:01.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -1404+49 strategic 1 OK clt -1404+49 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-20+14)*-27 strategic 1 OK clt -20+14 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:20.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-20+14)*-27 strategic 2 OK clt -20+14 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:32.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -6 * -27 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -6*-27 strategic 1 OK mt -6*-27 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 162 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:25:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -33(-5-33) strategic 1 OK distribute -33(-5-33) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:26:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 165 + 1089 default_condition distribute-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:26:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = 165+1089 strategic 1 OK clt 165+1089 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:26:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 1254 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:26:42.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -20(-39-39) = x strategic 1 OK distribute -20(-39-39) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:26:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 780+780 default_condition distribute-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:00.0 CYCLE CYCLE ES_02 ES_02-4 EG35C 780+780 = x strategic 1 OK clt 780+780 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:07.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 1560 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 3y-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+6 = 3y-6+6 strategic 1 ERROR mt 2+6 = 3y-6+6 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+6 = 3y-6+6 strategic 2 OK clt 2+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 3y-6+6 strategic 1 OK clt 3y-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:27:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8/3 = 3y/3 strategic 1 ERROR clt 8/3 = 3y/3 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:28:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8/3 = 3y/3 strategic 2 OK rf 3y/3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:28:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -5y+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:28:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-8 = -5y+8-8 strategic 1 OK clt -6-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:28:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -14 = -5y+8-8 strategic 1 OK clt -5y+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:28:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -14 = -5y strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:28:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -14/-5 = -5y/-5 strategic 1 OK rf -5y/-5 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+5 = -1 strategic 1 BUG subtract -5 To remove 5 from the left side, you can subtract a positive from it. Erase your last step and subtract 5 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+5 = -1 strategic 2 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+5-5 = -1-5 strategic 1 OK clt 7x+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -1-5 strategic 1 OK clt -1-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -6 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x/7 = -6/7 strategic 1 OK rf 7x/7 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -6/7 strategic 1 BUG rds x = -6/7 strategic You already solved the equation. x is -6/7. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:29:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 8x+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-2 = 8x+2-2 strategic 1 OK clt 0-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 8x+2-2 strategic 1 OK clt 8x+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/8 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -7x-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+2 = -7x-2+2 strategic 1 OK clt 2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -7x-2+2 strategic 1 OK clt -7x-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:30:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4/-7 = -7x/-7 strategic 1 OK rf -7x/-7 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:31:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:31:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:31:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 2 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:31:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y = 3 strategic 2 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:31:54.0 HINT HINT ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:31:55.0 HINT HINT ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 4 NEXT_HINT Type in 9-7y-9 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 5 OK typein 9-7y-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = 3-9 strategic 6 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-7y-9 = -6 strategic 1 OK clt 9-7y-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:32:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG 9 9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 9, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:14.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select -7y and drag it to the correct box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 6 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 7 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 8 OK -7y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 4 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK -7y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:33:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -7y default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y = -6 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 1 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 2 OK typein -6/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -4+8y strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+4 = -4+8y+4 strategic 1 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:34:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+4 = -4+8y+4 strategic 2 OK typein 0+8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:35:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 0+8y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:35:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/8 = (0+8y)/8 strategic 1 BUG typein y Just divide 0+8y by 8. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/8 = (0+8y)/8 strategic 2 OK typein 0 + y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:35:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/8 = (0+8y)/8 strategic 3 OK typein 7/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:35:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/8 = 0+y strategic 1 ERROR subtract 0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/8 = 0+y strategic 2 OK clt 0+y default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK y default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -4y-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+5 = -4y-5+5 strategic 1 OK typein -4y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:36:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+5 = -4y-5+5 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4y/-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4y/-4 strategic 2 OK typein 1/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y-9 = 6 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y-9+9 = 6+9 strategic 1 OK typein 9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y-9+9 = 6+9 strategic 2 OK typein 15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y = 15 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = 15/9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:37:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = 15/9 strategic 2 OK typein 15/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -10y-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+3 = -10y-3+3 strategic 1 BUG typein 10y You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+3 = -10y-3+3 strategic 2 OK typein -10y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+3 = -10y-3+3 strategic 3 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -10y strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-10 = -10y/-10 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:38:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-10 = -10y/-10 strategic 2 OK typein 5/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -1x+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = -1x+9-9 strategic 1 OK typein -1x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-9 = -1x+9-9 strategic 2 OK typein -17 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17 = -1x strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17/-1 = -1x/-1 strategic 1 OK typein x default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17/-1 = -1x/-1 strategic 2 BUG typein 17/-1 You haven't performed any operations. BUG default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:39:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -17/-1 = -1x/-1 strategic 3 OK typein 17 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8-2 = 2 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (x/-8-2)*-8 = 2*-8 strategic 1 OK rf x/-8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-x/8-2)*-8 = 2*-8 strategic 1 OK mt 2*-8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-x/8-2)*-8 = -16 strategic 1 ERROR mt (-x/8-2)*-8 = -16 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-x/8-2)*-8 = -16 strategic 2 ERROR rf (-x/8-2)*-8 = -16 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-x/8-2)*-8 = -16 strategic 3 ERROR ivm (-x/8-2)*-8 = -16 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:40:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-x/8-2)*-8 = -16 strategic 4 OK divide -8 default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-x/8-2)*-8/-8 = -16/-8 strategic 1 OK rf (-x/8-2)*-8/-8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8-2 = -16/-8 strategic 1 OK rf -16/-8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8-2 = 2 strategic 1 OK add 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8-2+2 = 2+2 strategic 1 OK clt -x/8-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8 = 2+2 strategic 1 OK clt 2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8 = 4 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/8*8 = 4*8 strategic 1 OK mt -x/8*8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8x/8 = 4*8 strategic 1 ERROR clt -8x/8 = 4*8 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:39.0 HINT HINT ES_02 ES_02-7 EG41 -8x/8 = 4*8 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8x/8 = 4*8 strategic 3 OK mt 4*8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:41:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8x/8 = 32 strategic 1 OK rf -8x/8 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:42:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 1 ERROR ivm -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:42:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 2 ERROR mt -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:42:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 3 ERROR rds -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:42:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 4 ERROR mt -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:42:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 5 ERROR rf -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:43:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 6 ERROR clt -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:44:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 7 ERROR mt -x = 32 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:44:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x = 32 strategic 8 OK multiply -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:44:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x*-1 = 32*-1 strategic 1 ERROR clt -x*-1 = 32*-1 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:44:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x*-1 = 32*-1 strategic 2 OK mt -x*-1 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:44:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 32*-1 strategic 1 OK mt 32*-1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -6+y/3 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+6 = -6+y/3+6 strategic 1 OK clt -6+y/3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+6 = y/3 strategic 1 OK clt -3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = y/3 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*3 = y/3*3 strategic 1 ERROR clt 3*3 = y/3*3 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*3 = y/3*3 strategic 2 OK mt y/3*3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*3 = y strategic 1 OK mt 3*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:45:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2+3 = 1 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2+3-3 = 1-3 strategic 1 OK clt 1-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2+3-3 = -2 strategic 1 OK clt x/-2+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = -2 strategic 1 BUG multiply 2 Multiplying by 2 will leave -x. It is better to multiply by -2, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = -2 strategic 2 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2*-2 = -2*-2 strategic 1 OK mt x/-2*-2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -2*-2 strategic 1 OK mt -2*-2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/9+4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2-4 = x/9+4-4 strategic 1 OK clt -2-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:46:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = x/9+4-4 strategic 1 OK clt x/9+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = x/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*9 = x/9*9 strategic 1 OK mt -6*9 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -54 = x/9*9 strategic 1 OK mt x/9*9 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/-3-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+6 = x/-3-6+6 strategic 1 OK clt -10+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/-3-6+6 strategic 1 OK clt x/-3-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-3 = x/-3*-3 strategic 1 OK mt x/-3*-3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:47:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-3 = x strategic 1 OK mt -4*-3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -7+(x/-4) strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+7 = -7+(x/-4)+7 strategic 1 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+7 = -7+(x/-4)+7 strategic 2 BUG typein x/4 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+7 = -7+(x/-4)+7 strategic 3 OK typein x/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = x/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-4 = x/-4*-4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-4 = x/-4*-4 strategic 2 OK typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:48:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+2 = 2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+2-2 = 2-2 strategic 1 OK typein x/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2+2-2 = 2-2 strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2 = 0 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = 0*2 strategic 1 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = 0*2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = y/9-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+2 = y/9-2+2 strategic 1 OK typein y/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+2 = y/9-2+2 strategic 2 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = y/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8*9 = y/9*9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:49:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8*9 = y/9*9 strategic 2 OK typein -72 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 8/y strategic 1 BUG multiply 8 To remove the coefficient of 8/y, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 8/y strategic 2 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:22.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 8/y strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:23.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 8/y strategic 4 NEXT_HINT 8/y is 8 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 8/y strategic 5 BUG multiply 8 To remove the coefficient of 8/y, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 8/y strategic 6 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:50:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 8/y strategic 7 ERROR mt -6 = 8/y strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:51:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 8/y strategic 8 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:52:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = 8/y*y strategic 1 OK mt 8/y*y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:52:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = 8 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:52:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y/-6 = 8/-6 strategic 1 OK rf -6y/-6 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:52:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 8/-6 strategic 1 OK rf 8/-6 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:52:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/x = -5 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:52:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/x*x = -5x strategic 1 OK mt 5/x*x default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -5x strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-5 = -5x/-5 strategic 1 OK rf 5/-5 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -5x/-5 strategic 1 OK rf -5x/-5 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -4/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = -4/y*y strategic 1 ERROR rf 3y = -4/y*y strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = -4/y*y strategic 2 OK mt -4/y*y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = -4 strategic 1 ERROR rf 3y = -4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = -4 strategic 2 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y/3 = -4/3 strategic 1 ERROR rds 3y/3 = -4/3 strategic default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:53:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y/3 = -4/3 strategic 2 OK rf 3y/3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:54:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -10/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:54:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = -10/y*y strategic 1 OK mt -10/y*y default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:54:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = -10 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:54:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y/6 = -10/6 strategic 1 OK rf 6y/6 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:54:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -10/6 strategic 1 OK rf -10/6 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:55:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10 = 2/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:55:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 2/y*y strategic 1 OK typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:55:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 2/y*y strategic 2 OK typein 10y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:55:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 2 strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:55:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y/10 = 2/10 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:55:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y/10 = 2/10 strategic 2 OK typein 2/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:56:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/x = 9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session9 2005-10-19 08:56:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/x*x = 9x strategic 1 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = 4 strategic 1 BUG multiply -2 To remove the coefficient of -2/x, you need to divide. Erase your last step and then divide both sides by -2. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = 4 strategic 2 ERROR divide -2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = 4 strategic 3 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:42.0 HINT HINT ES_02 ES_02-10 EG44 -2/x = 4 strategic 4 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:43.0 HINT HINT ES_02 ES_02-10 EG44 -2/x = 4 strategic 5 NEXT_HINT -2/x is -2 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:46.0 HINT HINT ES_02 ES_02-10 EG44 -2/x = 4 strategic 6 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:30:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = 4 strategic 7 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 4x strategic 1 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 4x strategic 2 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/4 = 4x/4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/4 = 4x/4 strategic 2 OK typein -0.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y = 7 strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y = 7 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = 7y strategic 1 OK typein -4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = 7y strategic 2 OK typein 7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:31:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/7 = 7y/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 3hSu07XfGd session10 2005-10-21 08:32:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/7 = 7y/7 strategic 2 OK typein -4/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 46z59pQP58 session12 2005-10-14 12:40:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking scuba lessons default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:41:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:42:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 BUG 25.50*x 25.50*X
Total cost of scuba lessons increases by 25.5 each hour, but remember that it starts at 90.75 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:43:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 INITIAL_HINT 25.50*x Enter an expression to calculate total cost of scuba lessons using time spent taking lessons. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:43:13.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 NEXT_HINT First consider the initial value of total cost of scuba lessons. Next consider how total cost of scuba lessons will change for each hour. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:43:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of total cost of scuba lessons plus the change in total cost of scuba lessons for each hour times time spent taking lessons. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:43:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 5 NEXT_HINT Write an expression that means the same thing as 90.75 dollars plus 25.5 times time spent taking lessons. HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:43:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 6 OK 90.75+25.50*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:47:07.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:47:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:47:14.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session12 2005-10-14 12:47:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:21:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking scuba lessons default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:21:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:21:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:22:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:22:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:22:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 INITIAL_HINT Enter an expression to calculate total cost of scuba lessons using time spent taking lessons. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:22:24.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 NEXT_HINT First consider the initial value of total cost of scuba lessons. Next consider how total cost of scuba lessons will change for each hour. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:22:29.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of total cost of scuba lessons plus the change in total cost of scuba lessons for each hour times time spent taking lessons. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:22:38.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 4 NEXT_HINT Write an expression that means the same thing as 90.75 dollars plus 25.5 times time spent taking lessons. HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:23:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 5 OK 90.75+25.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:23:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:23:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:27:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:28:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 90.75+25.5X=192.75 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:28:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 90.75+25.5x=192.75 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:29:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5X = 192.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:29:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:29:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:30:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:31:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 90.75+25.5x=2385.75 90.75+25.5X=2385.75
Please check to make sure that 90.75+25.5X=2385.75 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:31:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5X = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:31:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:32:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 1 OK amount of carpet default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:32:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 1 OK total cost default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:32:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:32:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 1 BUG yard yard
YARD is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:32:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 2 OK square yard default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:33:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 1 OK 14.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:33:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C1 1 OK 14 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:33:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 1 OK 10.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C2 1 OK 747.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 1 OK 1196 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 1 OK 14.95x=747.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 2 OK 14.95X=747.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:34:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95X = 747.5 strategic 1 OK divide 14.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:34:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C1 1 OK 50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 3 OK 14.95x=1196 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 4 OK 14.95X=1196 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:35:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95X = 1196 strategic 1 OK divide 14.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:35:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:36:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 OK amount of money spent on long distance default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:36:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:36:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK total number of points default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 ERROR X=5 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:06.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R3C2 2 INITIAL_HINT X=5 Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R3C2 3 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:15.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 5 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:37:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:38:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 OK 46000 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27000 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:38:35.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R5C1 2 INITIAL_HINT 27.50 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:38:40.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R5C1 3 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:38:43.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R5C1 4 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:38:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 5 OK 330 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 1 OK 5000+5x=46000 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 2 OK 5000+5X=46000 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:39:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5000+5X = 46000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5X = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:39:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:40:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 3 OK 5000+5x=27000 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:40:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 4 OK 5000+5X=27000 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:40:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5000+5X = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:40:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5X = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:40:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 OK area of construction default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 OK cost of construction default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 OK square feet default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK 49.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:41:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:42:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 ERROR 240 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:42:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R5C1 2 INITIAL_HINT 240 Read the problem statement. What information is given in question 2 about the area to be constructed? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:42:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R5C1 3 NEXT_HINT Important information about the area to be constructed is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:42:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R5C1 4 NEXT_HINT Type the area to be constructed, measured in square feet into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:43:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 5 OK 245 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:43:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 OK 321750 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:43:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 ERROR 42916 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:43:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 2 OK 42916.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 2 OK 49.5X=321750 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 1 OK 49.5x=321750 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:44:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C 49.5X = 321750 strategic 1 OK divide 49.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 OK 6500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:45:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 4 OK 49.5X=42916.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:45:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 3 OK 49.5x=42916.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:45:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C 49.5X = 42916.5 strategic 1 OK divide 49.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:45:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 867 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:45:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:45:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance jet has flown default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 BUG 1300+775x 1300+775x
Think about what changes and what doesn't. How much does the total distance it has flown change for each hour of the time? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 2 INITIAL_HINT 1300+775x Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 3 NEXT_HINT Look at the problem. What is the relationship between the total distance it has flown and the time? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 4 NEXT_HINT Enter 1300X + 775 HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:46:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 5 OK 1300x+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:47:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 1.45 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:47:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 2 INITIAL_HINT 1.45 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:47:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 3 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:47:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 4 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:49:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 5 ERROR 1300*1.45+775 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:49:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 6 INITIAL_HINT 1300*1.45+775 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:50:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 1750 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:50:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 OK 1300x+775=1750 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:50:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 OK 1300X+775=1750 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:50:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X+775 = 1750 strategic 1 ERROR subtract 1300 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:51:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X+775 = 1750 strategic 2 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:51:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 975 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:51:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X = 3/4 strategic 1 BUG rf X = 3/4 strategic You already solved the equation. X is 3/4. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session13 2005-10-19 12:51:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 ERROR 3.4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:13:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:13:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance jet has flown default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:14:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hour default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:14:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:14:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:14:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 1 INITIAL_HINT Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:15:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 2 NEXT_HINT Look at the problem. What is the relationship between the total distance it has flown and the time? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:15:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 3 NEXT_HINT Enter 1300X + 775 HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:15:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 4 OK 1300x+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:15:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:15:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 2 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:15:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 3 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:16:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 BUG 1750 1750
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:18:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 4 ERROR 2 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:18:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 5 ERROR 2 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:18:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 6 INITIAL_HINT 2 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:19:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 7 ERROR 11/4 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:19:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 8 BUG 1 3/4 1 3/4
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance the jet has flown default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 ERROR 1300 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:22:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 2 OK 1300x+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:29:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:29:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:29:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance jet has flown default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:29:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:29:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 OK 1300x+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 105. default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 3 ERROR 105 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 4 INITIAL_HINT 105 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 5 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 6 ERROR 75 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 7 ERROR 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:33:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 8 ERROR 80 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:33:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 9 INITIAL_HINT 80 Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:33:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 10 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:33:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 11 ERROR 105 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:33:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 BUG 30 30
30 is the the time in minutes, but we want to use hours. How many hours are in 30 minutes? BUG default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:33:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 2 OK .5 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:34:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 12 ERROR 1.45 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:34:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 13 ERROR 75 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:34:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 14 INITIAL_HINT 75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:34:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 15 OK 1.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:34:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 1750 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:35:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 OK 1300x+775=1750 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:35:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 OK 1300X+775=1750 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:36:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X+775 = 1750 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:36:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 975 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:36:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 OK 0.75 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:38:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 1 INITIAL_HINT You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:38:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 2 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:41:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 3 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:42:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 3 BUG 1300x+775=3500 1300x+775=3500
Please check to make sure that 1300x+775=3500 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:43:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 4 BUG 1300x+775=3500 1300x+775=3500
Please check to make sure that 1300x+775=3500 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:43:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300x+775 = 3500 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:43:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 2725 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:44:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 OK 109/52 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:44:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK number of students enrolled in algebra default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK number of students recieving a or b default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 ERROR 15x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 2 INITIAL_HINT 15x Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 3 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 4 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:35.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 5 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So percent is the same as 0.15 HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:39.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 6 NEXT_HINT Enter 0.15X. HINT 5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 7 OK 0.15x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:45:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:46:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:46:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:46:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 2 OK 0.15X=48 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:46:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 1 OK 0.15x=48 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:46:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15X = 48 strategic 1 ERROR divide o.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15X = 48 strategic 2 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:47:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 OK 320 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:47:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 4 OK 0.15X=9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:47:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 3 OK 0.15x=9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:47:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15X = 9 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:47:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:48:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 OK number of people default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:48:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 OK cost of the cake default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:48:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 OK .75x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C2 1 OK 120.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 1 OK 36.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 1 OK 0.75x=120 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 2 OK 0.75X=120 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75X = 120 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:49:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 3 OK 0.75x=36.75 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:50:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 4 OK 0.75X=36.75 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:50:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75X = 36.75 strategic 1 ERROR divide o.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:50:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75X = 36.75 strategic 2 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:50:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:51:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK number of snow cones we sell default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:51:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:51:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK profit default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:51:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:52:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 OK -50+0.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session14 2005-10-21 12:52:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:14:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK number of snow cones we sell default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:14:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:14:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 ERROR pofit default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:14:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 2 OK profit default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:15:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:15:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 OK -50+0.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:15:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:15:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:15:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:15:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:16:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK -50+0.5x=300 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:16:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK -50+0.5X=300 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:16:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5X = 300 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:16:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5X = 350 strategic 1 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:17:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:17:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 3 OK -50+0.5x=153.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:17:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 4 OK -50+0.5X=153.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:17:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5X = 153.5 strategic 1 BUG add -50 To remove -50 from the left side, you can add a positive to it. Erase your last step and add 50 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:18:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5X = 153.5 strategic 2 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:18:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5X = 203.5 strategic 1 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:18:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:19:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 OK length of the mobile telephone call default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:19:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C2 1 OK total cost of the call default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:19:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:19:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:19:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 1 OK 2.50+1.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C1 1 OK 5 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 1 OK 22.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C2 1 OK 57.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 1 OK 2.5+1.25x=22.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:20:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 2 OK 2.5+1.25X=22.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 2.5+1.25X = 22.5 strategic 1 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X = 20 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 1 OK 16 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 4 OK 2.5+1.25X=57.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 3 OK 2.5+1.25x=57.5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 2.5+1.25X = 57.5 strategic 1 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:21:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X = 55 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:22:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 1 OK 44 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:22:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK cellular phone time used next month default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:22:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 OK balance on the next bill default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK minute default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 BUG 7.87+0.23x 7.87+0.23x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:46.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 2 INITIAL_HINT 7.87+0.23x Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:48.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 3 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:52.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:23:56.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 5 NEXT_HINT Write an expression that means the same thing as -7.87 dollars plus 0.23 times the cellular phone time used next month. HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:24:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 6 OK -7.87+0.23x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:24:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:24:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:24:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 ERROR $38.13 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:25:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 2 OK 38.13 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:25:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:25:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK -7.87+0.23x=38.13 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:25:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK -7.87+0.23X=38.13 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:25:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23X = 38.13 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23X = 46 strategic 1 ERROR divide o.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:26:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23X = 46 strategic 2 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:26:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 3 OK -7.87+0.23x=25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 4 OK -7.87+0.23X=25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:27:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23X = 25 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:27:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23X = 32.87 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:27:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:27:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of items default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:28:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of the order default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:28:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:28:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:28:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:29:59.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:30:00.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:30:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:30:11.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:30:22.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 INITIAL_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:30:23.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 NEXT_HINT Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:30:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:31:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 8 ERROR x-0.25*25.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:31:34.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 9 INITIAL_HINT x-0.25*25.00 Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:31:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 10 NEXT_HINT Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:31:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 11 ERROR 0.75+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:31:50.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 12 INITIAL_HINT 0.75+25 Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:32:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 13 ERROR 0.25x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:32:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 14 ERROR x-0.25*25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:32:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 15 ERROR 0.25x+25.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:32:36.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 16 INITIAL_HINT 0.25x+25.00 Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:33:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 17 OK x-0.25x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:33:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:33:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:33:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:33:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 OK x-0.25x+25=231.25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 OK X-0.25X+25=231.25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 231.25 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:12.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 231.25 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 231.25 strategic 3 OK clt X-0.25X+25 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X+25 = 231.25 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X = 206.25 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:34:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:35:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 4 OK X-0.25X+25=250 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:35:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK x-0.25x+25=250 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:35:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 250 strategic 1 OK clt X-0.25X+25 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X+25 = 250 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X = 225 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:36:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 1 OK number of hours from now default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:36:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 1 OK tempetature of the liquid default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:36:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:37:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 2 OK degrees celcius default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:37:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:37:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 1 OK -28-3.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:38:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:39:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 1 OK -84 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:39:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R5C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:39:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R4C1 1 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:39:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 1 OK -28-3.5x=0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:39:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 2 OK -28-3.5X=0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:40:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5X = 0 strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:40:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5X = 28 strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:40:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 1 BUG 8 8
Use parentheses. Type (0 - -28)/ -3.5 as (0 - -28)/ -3.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:40:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 2 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:41:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 3 OK -28-3.5x=-84 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:41:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 4 OK -28-3.5X=-84 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:41:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5X = -84 strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:41:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5X = -56 strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:41:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C1 1 OK 16 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:42:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:42:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK depth of the mine default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:42:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:42:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:42:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:43:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 OK -1225-12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:44:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 OK 120 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:44:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 BUG 36 36
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:44:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 2 BUG 36 36
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:44:58.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 3 INITIAL_HINT 36 Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:45:03.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 4 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:45:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 5 INITIAL_HINT 36 Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:45:35.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 6 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:46:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 7 INITIAL_HINT 36 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:46:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 8 ERROR -3 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:46:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 9 OK -36 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 BUG 1705 1705
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:46:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 OK -1705 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:47:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C2 1 INITIAL_HINT Read the problem statement. What information is given in question 3 about the depth of the mine? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:47:20.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C2 2 NEXT_HINT Important information about the depth of the mine is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:47:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C2 3 NEXT_HINT Type the depth of the mine, measured in feet into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:47:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 4 ERROR -10 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:49:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1225-12x=-1705 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:49:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 OK -1225-12X=-1705 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = -1705 strategic 1 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12X = -480 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 1 INITIAL_HINT 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:35.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 2 NEXT_HINT You know that the expression -1225 - 12X represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12X output the given value of 0 feet? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:40.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12X and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:50:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 4 NEXT_HINT Solve the equation -1225 - 12X = 0. HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:51:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 5 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:51:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 3 OK -1225-12x=0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:51:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 4 OK -1225-12X=0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:51:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = 0 strategic 1 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session15 2005-10-26 12:52:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12X = 1225 strategic 1 BUG divide 12 In this equation, X is multiplied by -12. Dividing by 12 leaves -X, so you still need to remove the negative sign. It is better to divide by -12, since that would leave X. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:11:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:11:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK depth of the mine default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:12:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:12:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:12:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:13:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 OK -1225-12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:13:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 OK 120 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:14:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 OK -36 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:15:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 ERROR -480 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:16:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 BUG -480 -480
Subtracting -1225 from -1705 is OK, but then you need to divide by -12. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:16:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 2 BUG -40 -40
Think about the sign of your answer. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:16:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 ERROR -40 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:16:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 3 BUG 40 40
You entered 40 in the wrong column. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:16:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 3 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:17:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 1 INITIAL_HINT 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:17:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 2 NEXT_HINT You know that the expression -1225 - 12X represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12X output the given value of 0 feet? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:17:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12X and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:17:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 4 NEXT_HINT Solve the equation -1225 - 12X = 0. HINT 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:17:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 5 BUG 0 0
Subtract the initial value, -1225, from the digging time first before you divide by -12. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:17:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 6 INITIAL_HINT 0 Solve the equation -1225 - 12X = 0. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:19:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C2 1 INITIAL_HINT Read the problem statement. What information is given in question 3 about the depth of the mine? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:20:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1225-12x=0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:20:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 OK -1225-12X=0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:20:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 7 BUG 0 0
Subtract the initial value, -1225, from the digging time first before you divide by -12. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:20:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 2 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:20:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = 0 strategic 1 BUG add -1225 To remove -1225 from the left side, you can add a positive to it. Erase your last step and add 1225 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:20:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = 0 strategic 2 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:21:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12X = 1225 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:21:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A X = -1225/12 strategic 1 BUG rf X = -1225/12 strategic You already solved the equation. X is -1225/12. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:21:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A X = -1225/12 strategic 2 INITIAL_HINT default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:22:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 8 OK -1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:22:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:22:41.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:22:45.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:23:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:23:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:23:23.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:23:45.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(-5-5) strategic 1 ERROR mt 8(-5-5) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:01.0 HINT HINT ES_02 ES_02-1 EG31 8(-5-5) strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:11.0 HINT HINT ES_02 ES_02-1 EG31 8(-5-5) strategic 3 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:12.0 HINT HINT ES_02 ES_02-1 EG31 8(-5-5) strategic 4 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:16.0 HINT HINT ES_02 ES_02-1 EG31 8(-5-5) strategic 5 NEXT_HINT Combine like terms. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:23.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(-5-5) strategic 6 OK clt -5-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:27.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8*-10 strategic 1 OK mt 8*-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:41.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (7+10)*-10 strategic 1 OK clt 7+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:24:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 17*-10 strategic 1 OK mt 17*-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:00.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-3*-1 strategic 1 OK mt 3*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:04.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-(-3) strategic 1 OK clt -1-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:13.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7(-1-8) strategic 1 OK clt -1-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:16.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7*-9 strategic 1 OK mt -7*-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:24.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6-3*3 strategic 1 OK mt 3*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:28.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6-9 strategic 1 OK clt -6-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:35.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (0-1)*-6 strategic 1 OK clt 0-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:39.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -1*-6 strategic 1 OK mt -1*-6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+3*2 strategic 1 OK mt 3*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:25:49.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+6 strategic 1 OK clt -9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(10-6) strategic 1 OK clt 10-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 4 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 4 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 4 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR 4 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -5(4) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*4 strategic 1 OK mt -5*4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -20 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:26:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5-2)*-10 strategic 1 OK clt -5-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:27:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -3*(-10) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:27:05.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 2 INITIAL_HINT -3*(-10) You need to combine like terms in (-5-2)*-10. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:27:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5-2)*-10 strategic 2 OK clt -5-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:27:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -7*(-10) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:27:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*-10 strategic 1 OK mt -7*-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:28:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK 70 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:28:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-8*-8 strategic 1 ERROR clt -4-8*-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:28:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-8*-8 strategic 2 OK mt 8*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:28:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -4(64) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:29:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 4*-64 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:29:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 4*-64 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:29:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 4*-64 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:29:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 4*-64 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:29:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR 4*64 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:29:44.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 7 INITIAL_HINT 4*64 You need to perform multiplication in -4-8*-8. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:30:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK -4-(-64) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:30:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+64 strategic 1 OK clt -4+64 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:30:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 OK 60 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:30:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4-2*-1 strategic 1 OK mt 2*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:30:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 4*2 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 4-(-2) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4+2 strategic 1 OK clt 4+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 6 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 10(8+6) strategic 1 OK clt 8+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 10(14) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 10*14 strategic 1 OK mt 10*14 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 140 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:31:57.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8*5-6 strategic 1 OK mt -8*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -40-6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -40-6 strategic 1 OK clt -40-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -46 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0+7)*5 strategic 1 OK clt 0+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 7*5 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:43.0 CYCLE CYCLE ES_02 ES_02-2 EG30 7*5 strategic 1 OK mt 7*5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 35 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:32:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-10*-9 strategic 1 OK mt 10*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:33:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -4-(-90) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:33:22.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+90 strategic 1 OK clt -4+90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:33:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 86 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:33:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-1)*9 strategic 1 OK clt -8-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:33:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -9*9 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:33:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*9 strategic 1 OK mt -9*9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:34:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -81 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:34:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10-9*7 strategic 1 OK mt 9*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:34:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 10-(-63) 10-(-63)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:34:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 10(-63) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:35:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 10-63 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:35:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10-63 strategic 1 OK clt 10-63 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:35:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -53 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:35:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10-4*1 strategic 1 OK mt 4*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:35:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -10-(-4) -10-(-4)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:35:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -10(-4) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -10-(-4) -10-(-4)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 BUG -10-(-4) -10-(-4)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 BUG -10-(-4) -10-(-4)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 BUG -10-(-4) -10-(-4)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:21.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 7 INITIAL_HINT -10-(-4) You need to perform multiplication in -10-4*1. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK -10-4 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10-4 strategic 1 OK clt -10-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:47.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 OK -14 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:36:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6+1*6 strategic 1 OK mt 1*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:37:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -6+6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:37:15.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6+6 strategic 1 OK clt -6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:37:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 0 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:37:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-2*-3 strategic 1 OK mt 2*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:37:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -2*-6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:38:03.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 2 INITIAL_HINT -2*-6 You need to perform multiplication in -2-2*-3. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:38:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -2-(-6) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:38:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2+6 strategic 1 OK clt -2+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:38:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 4 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:38:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-9*-6 strategic 1 OK mt 9*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -4-(-54) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4+54 strategic 1 OK clt -4+54 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 50 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-6*-9 strategic 1 OK mt 6*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -3-(-54) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+54 strategic 1 OK clt -3+54 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:39:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 51 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:06.0 CYCLE CYCLE ES_02 ES_02-3 EG35C 46(-31-14) = y strategic 1 OK clt -31-14 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35C 46*-45 = y strategic 1 OK mt 46*-45 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:24.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (-50+21)*-15 strategic 1 ERROR mt y = (-50+21)*-15 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:34.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (-50+21)*-15 strategic 2 OK clt -50+21 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:38.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = -29*-15 strategic 1 OK mt -29*-15 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:47.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (-8+7)*-29 = x strategic 1 OK clt -8+7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:40:53.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -1*-29 = x strategic 1 OK mt -1*-29 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:41:03.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -16*-41-23 strategic 1 OK mt -16*-41 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:41:07.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 656-23 strategic 1 OK clt 656-23 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:41:17.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -3-9*-5 = x strategic 1 OK mt 9*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:41:35.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -3-(-45) = x strategic 1 OK clt -3-(-45) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:41:45.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = 2(-7+5) strategic 1 OK clt -7+5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:41:50.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = 2*-2 strategic 1 OK mt 2*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:42:02.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -8-15*-7 strategic 1 OK mt 15*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:42:06.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -8-(-105) strategic 1 OK clt -8-(-105) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:42:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35C 23(-48-8) = x strategic 1 OK clt -48-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:42:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 23(-56) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:42:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35C 23*-56 = x strategic 1 OK mt 23*-56 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:43:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -1288 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:43:12.0 CYCLE CYCLE ES_02 ES_02-4 EG34B y = (-40-42)*28 strategic 1 OK clt -40-42 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:43:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK (-82)*28 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:43:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34B y = -82*28 strategic 1 OK mt -82*28 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:43:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK -2296 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:43:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = 46(-49-43) strategic 1 OK clt -49-43 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:44:16.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 46(-92) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:44:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = 46*-92 strategic 1 OK mt 46*-92 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:44:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -4232 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:44:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (5-7)*-1 = y strategic 1 OK clt 5-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:45:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -2*-1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:45:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -2*-1 = y strategic 1 OK mt -2*-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:45:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 2 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:45:31.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-9-31)*-25 strategic 1 OK clt -9-31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:45:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -40*-25 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:45:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -40*-25 strategic 1 OK mt -40*-25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:46:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 1000 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:46:13.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -27(-36+23) = y strategic 1 OK clt -36+23 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:46:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -27(-13) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:46:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -27*-13 = y strategic 1 OK mt -27*-13 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:46:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 351 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:47:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34C (-16-20)*-37 = y strategic 1 OK clt -16-20 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:47:17.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -36*(-37) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:47:22.0 CYCLE CYCLE ES_02 ES_02-4 EG34C -36*-37 = y strategic 1 OK mt -36*-37 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:47:32.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK 1332 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:47:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = 0(3+5) strategic 1 OK mt 0(3+5) default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35 constant factorsR2 strategic 1 OK 0 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35 3+5R2 strategic 1 BUG 0 0
Perhaps you should fill in all the 3+5 factors above. BUG default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:13.0 HINT HINT ES_02 ES_02-4 EG35 3+5R2 strategic 2 INITIAL_HINT 0 From the original equation at the top, select 3+5 and drag it to the correct box above. HINT 1 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35 3+51R1 strategic 1 OK 3+5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35 3+5R2 strategic 3 OK 8 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK 0 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:48:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (28-25)*-34 strategic 1 OK clt 28-25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK 3*-34 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:09.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = 3*-34 strategic 1 OK mt 3*-34 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -102 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35 1(3-5) = x strategic 1 OK mt 1(3-5) default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:31.0 CYCLE CYCLE ES_02 ES_02-4 EG35 3-51R1 strategic 1 OK 3-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35 constant factorsR2 strategic 1 OK 1 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:42.0 CYCLE CYCLE ES_02 ES_02-4 EG35 3-5R2 strategic 1 OK -2 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK -2 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:49:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -19(-15-43) = y strategic 1 OK clt -15-43 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:50:13.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -19(-58) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:50:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -19*-58 = y strategic 1 OK mt -19*-58 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session16 2005-10-28 12:50:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 1102 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:15:42.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (-8-7)*-1 strategic 1 OK clt -8-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:16:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (-8-7)*-1 strategic 2 OK clt -8-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:16:38.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -15*-1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:16:52.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = -15*-1 strategic 1 OK mt -15*-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:16:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 15 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:17:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-25-43)*22 = y strategic 1 OK clt -25-43 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:17:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -68*22 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:17:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -68*22 = y strategic 1 OK mt -68*22 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:17:45.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -1496 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:17:54.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -47(-13-12) strategic 1 OK clt -13-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:18:06.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -47(-25) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:18:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -47*-25 strategic 1 OK mt -47*-25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:18:24.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 1175 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:18:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -3-4x strategic 1 ERROR clt 7 = -3-4x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:18:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -3-4x strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:19:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7+3 = -3-4x+3 strategic 1 OK clt 7+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:19:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = -3-4x+3 strategic 1 OK clt -3-4x+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:19:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = -4x strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:19:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10/-4 = -4x/-4 strategic 1 OK rf 10/-4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:19:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/2 = -4x/-4 strategic 1 OK rf -4x/-4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:19:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 10y-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+3 = 10y-3+3 strategic 1 OK clt -2+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 10y-3+3 strategic 1 OK clt 10y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 10y strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/10 = 10y/10 strategic 1 OK rf 10y/10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 7x-1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+1 = 7x-1+1 strategic 1 OK clt -8+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 7x-1+1 strategic 1 OK clt 7x-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:20:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/7 = 7x/7 strategic 1 OK rf -7/7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 4+2y strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3-4 = 4+2y-4 strategic 1 OK clt 3-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 4+2y-4 strategic 1 OK clt 4+2y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/2 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10 = 2+8x strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:21:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10-2 = 2+8x-2 strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:22:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10-2 = 2+8x-2 strategic 2 OK typein 8x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:22:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10-2 = 2+8x-2 strategic 3 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:22:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:22:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 1 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:22:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 3 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 4 ERROR typein 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:21.0 HINT HINT ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:23.0 HINT HINT ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 6 NEXT_HINT Type in 8x/8 on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 8/8 strategic 7 OK typein 8x/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 1 strategic 1 OK rf 8x/8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:23:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 ERROR 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 ERROR 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 BUG 8 8
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 BUG 8 8
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:24:57.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT 8 Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:11.0 HINT HINT ES_02 ES_02-6 EG40 8x/8 = 1 strategic 2 INITIAL_HINT default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:12.0 HINT HINT ES_02 ES_02-6 EG40 8x/8 = 1 strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 1 strategic 4 OK rf 8x/8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 BUG 1 1
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 BUG 0 0
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 3 BUG 8 8
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:25:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 4 BUG 1 1
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:26:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:26:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:26:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 5 BUG 1 1
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:26:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 6 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:26:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 BUG 1x=1 1x=1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:06.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT 1x=1 Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 1x default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 1 strategic 5 OK rf 8x/8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 2 ERROR 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 3 ERROR 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 2 OK 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK 8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 3 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 7 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:27:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:28:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 4 ERROR x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:28:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:28:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 1x default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:29:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 7x+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:29:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-1 = 7x+1-1 strategic 1 OK typein 7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:29:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-1 = 7x+1-1 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:29:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:29:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/7 = 7x/7 strategic 1 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:29:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/7 = 7x/7 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/7 = 7x/7 strategic 3 OK typein 6/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/7 = 1x strategic 1 BUG rf 6/7 = 1x strategic You already solved the equation. x is 6/7. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/7 = 1x strategic 2 BUG rf 6/7 = 1x strategic You already solved the equation. x is 6/7. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x-4 = -9 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x-4+4 = -9+4 strategic 1 OK typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x-4+4 = -9+4 strategic 2 OK typein 7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:30:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x = -5 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -5/7 strategic 1 OK typein -5/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -5/7 strategic 2 BUG typein 7x You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -5/7 strategic 3 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 3-1y strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-3 = 3-1y-3 strategic 1 OK typein -1y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-3 = 3-1y-3 strategic 2 BUG typein 1 1 is equal to 4 minus 3. You need to calculate -4 minus 3. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:31:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-3 = 3-1y-3 strategic 3 ERROR typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:32:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-3 = 3-1y-3 strategic 4 BUG typein -1 -1 is equal to -4 plus 3. You need to calculate -4 minus 3. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:32:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4-3 = 3-1y-3 strategic 5 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:32:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -1y strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:32:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-1 = -1y/-1 strategic 1 OK typein 1y default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:32:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/-1 = -1y/-1 strategic 2 OK typein 7 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:33:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -3+y/6 strategic 1 ERROR add y/6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:33:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -3+y/6 strategic 2 BUG add -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:33:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = -3+y/6 strategic 3 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:33:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+3 = -3+y/6+3 strategic 1 OK clt -3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:33:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = -3+y/6+3 strategic 1 OK clt -3+y/6+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/6 strategic 1 ERROR rf 0 = y/6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:10.0 HINT HINT ES_02 ES_02-7 EG41 0 = y/6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:12.0 HINT HINT ES_02 ES_02-7 EG41 0 = y/6 strategic 3 NEXT_HINT In y/6, y is divided by 6. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:16.0 HINT HINT ES_02 ES_02-7 EG41 0 = y/6 strategic 4 NEXT_HINT Multiply both sides by 6. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/6 strategic 5 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*6 = y/6*6 strategic 1 OK mt 0*6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/6*6 strategic 1 OK mt y/6*6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = 4+y/5 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3-4 = 4+y/5-4 strategic 1 OK clt 3-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:34:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = 4+y/5-4 strategic 1 OK clt 4+y/5-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = y/5 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1*5 = y/5*5 strategic 1 OK mt -1*5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = y/5*5 strategic 1 OK mt y/5*5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2+8 = 2 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2+8-8 = 2-8 strategic 1 OK clt y/-2+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 2-8 strategic 1 OK clt 2-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = -6 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:35:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2*-2 = -6*-2 strategic 1 OK mt y/-2*-2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -6*-2 strategic 1 OK mt -6*-2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/-8+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3-6 = x/-8+6-6 strategic 1 OK clt 3-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = x/-8+6-6 strategic 1 OK clt x/-8+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = x/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3*-8 = x/-8*-8 strategic 1 OK mt -3*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 24 = x/-8*-8 strategic 1 OK mt x/-8*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = x/7+4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:36:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-4 = x/7+4-4 strategic 1 OK typein x/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:37:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-4 = x/7+4-4 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:37:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = x/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:37:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*7 = x/7*7 strategic 1 ERROR typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:37:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*7 = x/7*7 strategic 2 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:37:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*7 = x/7*7 strategic 3 OK typein 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*7 = x/7*7 strategic 4 ERROR typein 1/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*7 = x/7*7 strategic 5 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = y/6-8 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = y/6-8+8 strategic 1 OK typein y/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = y/6-8+8 strategic 2 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = y/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*6 = y/6*6 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:38:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*6 = y/6*6 strategic 2 OK typein 66 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:39:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6-6 = 0 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:39:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6-6+6 = 0+6 strategic 1 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:39:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6-6+6 = 0+6 strategic 2 OK typein x/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:39:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6 = 6 strategic 1 ERROR multiply x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:39:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6 = 6 strategic 2 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:40:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6*6 = 6*6 strategic 1 OK typein 36 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:40:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6*6 = 6*6 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:40:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = x/-6-8 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:40:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+8 = x/-6-8+8 strategic 1 OK typein x/-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:40:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+8 = x/-6-8+8 strategic 2 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:40:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = x/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:41:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*-6 = x/-6*-6 strategic 1 BUG typein x/-6 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:41:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*-6 = x/-6*-6 strategic 2 OK typein -30 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:41:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*-6 = x/-6*-6 strategic 3 ERROR typein x/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:41:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*-6 = x/-6*-6 strategic 4 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:41:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/3 = -9 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:41:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/3+7 = -9+7 strategic 1 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/3+7 = -9+7 strategic 2 OK typein x/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3 = -2 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = -2*3 strategic 1 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = -2*3 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10-7 = -1 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10-7+7 = -1+7 strategic 1 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10-7+7 = -1+7 strategic 2 OK typein y/-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10 = 6 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:42:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10*-10 = 6*-10 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10*-10 = 6*-10 strategic 2 OK typein -60 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/y = 1 strategic 1 BUG multiply -10 To remove the coefficient of -10/y, you need to divide. Erase your last step and then divide both sides by -10. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/y = 1 strategic 2 ERROR divide -10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:45.0 HINT HINT ES_02 ES_02-9 EG44 -10/y = 1 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:47.0 HINT HINT ES_02 ES_02-9 EG44 -10/y = 1 strategic 4 NEXT_HINT -10/y is -10 divided by y. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:50.0 HINT HINT ES_02 ES_02-9 EG44 -10/y = 1 strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:43:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/y = 1 strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/y*y = 1y strategic 1 OK mt -10/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 2 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:41.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 3 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:44.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 3 strategic 4 NEXT_HINT 9/y is 9 divided by y. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:47.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 3 strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 3 strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:44:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = 3y strategic 1 OK mt 9/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:08.0 HINT HINT ES_02 ES_02-9 EG44 9 = 3y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:10.0 HINT HINT ES_02 ES_02-9 EG44 9 = 3y strategic 2 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:13.0 HINT HINT ES_02 ES_02-9 EG44 9 = 3y strategic 3 NEXT_HINT Divide both sides by 3. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 3y strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/3 = 3y/3 strategic 1 OK rf 9/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y = 5 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y*y = 5y strategic 1 OK mt -4/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 5y strategic 1 ERROR mt -4 = 5y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:45:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 5y strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:46:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/5 = 5y/5 strategic 1 OK rf 5y/5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:46:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/5 = y strategic 1 BUG rf -4/5 = y strategic You already solved the equation. y is -4/5. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:46:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = 9/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:46:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7x = 9/x*x strategic 1 OK mt 9/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:46:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7x = 9 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:46:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7x/-7 = 9/-7 strategic 1 OK rf -7x/-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:47:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = 3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:47:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x*x = 3x strategic 1 OK mt -9/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:47:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:47:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/3 = 3x/3 strategic 1 OK rf -9/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:47:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 3x/3 strategic 1 OK rf 3x/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = 1 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 2 ERROR typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 3 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 4 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 5 ERROR typein -x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:48:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 6 ERROR typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:49:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 7 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:49:58.0 HINT HINT ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:50:02.0 HINT HINT ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 9 NEXT_HINT Type in -2/x*x on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:50:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 10 OK typein -2/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session17 2005-11-02 12:50:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = 1x strategic 11 OK mt -2/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:11:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 9/x strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:11:52.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 9/x strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:11:54.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 9/x strategic 3 NEXT_HINT 9/x is 9 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:05.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 9/x strategic 4 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:06.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 9/x strategic 5 NEXT_HINT 9/x is 9 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:10.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 9/x strategic 6 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 9/x strategic 7 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 9/x*x strategic 1 OK typein 9/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 9/x*x strategic 2 OK typein -7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:12:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = 9/x*x strategic 3 OK mt 9/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:16:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = -6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:16:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -6x strategic 1 OK typein -6x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:17:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -6x strategic 2 OK typein -7/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:17:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -6x strategic 3 OK mt -7/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:17:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -7/1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:17:28.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 INITIAL_HINT -7/1 You need to multiply the numerators together. HINT 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:21:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x = 6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:21:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = 6x strategic 1 OK typein 6x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:24:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 3/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:24:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 3/y*y strategic 1 OK typein 5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:24:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 3/y*y strategic 2 OK typein 3/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:24:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 3/y*y strategic 3 OK mt 3/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 3y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 3y default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR 1y default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR 3y default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR 3y/1y default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:42.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT 3y/1y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK 3y/y default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:25:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 3y/y strategic 1 OK rf 3y/y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:26:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:29:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x = 4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:29:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 1 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:29:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 2 OK typein 3/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 3 OK mt 3/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 3x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 3x/x default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3x/x = 4x strategic 1 OK rf 3x/x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:30:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 BUG 3 3
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:31:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 BUG x x
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:31:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 BUG 12 12
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:31:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 BUG 3 3
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:31:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 BUG 4 4
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:31:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3x/x = 4x strategic 2 ERROR mt 3x/x = 4x strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3x/x = 4x strategic 3 ERROR rds 3x/x = 4x strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3x/x = 4x strategic 4 OK rf 3x/x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 BUG 1 1
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:32:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 BUG x x
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 BUG 1x 1x
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 BUG 3 3
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 ERROR 3x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 ERROR 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 3 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 1 1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:33:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK 3 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:34:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:34:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/4 = 4x/4 strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:34:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/4 = 4x/4 strategic 2 OK typein .75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:34:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10 = 9/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 9/y*y strategic 1 OK typein 9/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 9/y*y strategic 2 OK typein 10y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 9/y*y strategic 3 OK mt 9/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 9y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 9y/y default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:35:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 9y/y strategic 1 OK rf 9y/y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 OK y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 BUG 1 1
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:36:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 9 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:37:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y = 9 strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:37:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y/10 = 9/10 strategic 1 OK typein .9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:37:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y/10 = 9/10 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:37:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10y/10 = 9/10 strategic 3 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:37:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -3/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:37:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -3/x*x strategic 1 OK typein -3/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -3/x*x strategic 2 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -3/x*x strategic 3 OK mt -3/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -3x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 3x/x default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -3x/x default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:38:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -3x/x strategic 1 OK rf -3x/x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 ERROR - default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 3 ERROR - default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 5 OK -3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK -3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 OK 1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -3 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:39:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = -3 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:40:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = -3/4 strategic 1 OK typein -.75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 46z59pQP58 session18 2005-11-04 12:40:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = -3/4 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 589M2uPIY4 session24 2005-11-03 10:14:33.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:14:34.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:15:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 3 OK time spent taking scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:15:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:15:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:15:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:16:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG cost of scuba lessons COST OF SCUBA LESSONS
Try total cost of scuba lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:16:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 BUG cost of scuba lessons COST OF SCUBA LESSONS
Try total cost of scuba lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:16:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 3 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:16:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 BUG cost cost
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count COST? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:16:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 2 BUG cost cost
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count COST? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session24 2005-11-03 10:16:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 BUG 2385.75 2385.75
You entered 2,385.75 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:17:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:17:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 238575 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:17:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 ERROR 238575 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:17:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 3 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:18:10.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 2,385.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:18:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 ERROR 238575 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:18:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 2 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:19:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:19:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 4 ERROR 192.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:19:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 5 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:20:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50*h+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:20:54.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 INITIAL_HINT 2,385.75 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:20:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT You know that the expression 25.5H + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5H + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:21:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5H + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:21:04.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 NEXT_HINT Solve the equation 25.5H + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 ERROR 25.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:23:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 ERROR 25.50/192.75+90.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:23:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 BUG 192.75/25.50+90.75 192.75/25.50+90.75
Subtract the initial value, 90.75, from the total amount 192.75 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:24:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 ERROR 192.75-90.75/25.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:25:32.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 INITIAL_HINT 192.75-90.75/25.75 Solve the equation 25.5H + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:25:45.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5H + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:25:50.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 12 NEXT_HINT You know that the expression 25.5H + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5H + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:25:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 13 NEXT_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:26:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 ERROR 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:26:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 14 INITIAL_HINT 192.75-90.75/25.75 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:26:30.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 15 NEXT_HINT You know that the expression 25.5H + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5H + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:26:35.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 16 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5H + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:26:38.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 17 NEXT_HINT Solve the equation 25.5H + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:30:33.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 18 NEXT_HINT You know that the expression 25.5H + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5H + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5h+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5H+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:34:58.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:34:59.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 2 NEXT_HINT 90.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 90.75 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:03.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 3 NEXT_HINT You can subtract 90.75 from both sides of the equation to eliminate the constant value of 90.75 (90.75 - 90.75 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 4 ERROR subtract 92.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 5 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 1 ERROR clt 25.5H = 102 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 2 ERROR clt 25.5H = 102 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 3 ERROR distribute 25.5H = 102 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:35:58.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:01.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 5 NEXT_HINT 25.5H is 25.5 times H. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:05.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 6 NEXT_HINT Divide both sides by 25.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 7 OK divide 25.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 19 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 BUG 4 4
You entered 4 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 ERROR 102 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:39.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 INITIAL_HINT 102 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 ERROR 102 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 ERROR 25.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:36:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 ERROR 1032 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:37:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 8 ERROR 102 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:37:05.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 9 INITIAL_HINT 102 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:37:06.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 10 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:37:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 11 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:37:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 12 ERROR 102 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:37:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 6 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:38:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 8 OK divide 25.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:38:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR H = 4 strategic 1 BUG squareroot H = 4 strategic You already solved the equation. H is 4. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:38:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 13 ERROR 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:39:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 25.5H+90.75=2385.75 25.5H+90.75=2385.75
Please check to make sure that 25.5H+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:39:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:39:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 2295 strategic 1 OK divide 25.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:39:36.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 14 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:40:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 OK amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:40:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:40:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:40:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 ERROR feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:41:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 2 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:41:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:41:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:41:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 ERROR 31.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:41:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 2 OK 30.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:42:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 OK 279.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:42:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 OK 558 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK 13.95*c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:43:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 1 OK 13.95c=279 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:43:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 2 OK 13.95C=279 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 279 strategic 1 ERROR mt 13.95C = 279 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:44:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 279 strategic 2 BUG subtract 13.95 In 13.95C, C is multiplied by 13.95. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:44:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 279 strategic 3 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:44:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 3 OK 13.95C=558 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:44:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95C = 558 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:44:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:45:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 OK amount of money spent default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:45:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:45:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:46:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:46:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:46:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:46:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 ERROR 27.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:47:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 3 OK 27.50*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:48:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 OK 5*m+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:48:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 1 OK 5m+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:48:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 2 OK 5M+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:48:41.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5M+5000 = 46000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:48:42.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5M+5000 = 46000 strategic 2 NEXT_HINT 5000 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:48:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M+5000 = 46000 strategic 3 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:49:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:49:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:49:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 3 OK 5M+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:49:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 1 BUG subtract 27000 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:49:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 2 ERROR aproot left default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:49:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 3 BUG divide 27000 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:50:00.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:50:00.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 5 NEXT_HINT 5000 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:50:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 6 NEXT_HINT You can subtract 5000 from both sides of the equation to eliminate the constant value of 5000 (5000 - 5000 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M+5000 = 27000 strategic 7 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5M = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:50:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:51:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:52:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C1 1 BUG feet feet
FEET is a measure of length, not area. Use square feet. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session25 2005-11-04 08:52:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C1 2 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:56:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 1 OK cost o construction default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:56:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:57:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C2 1 OK 97138.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:57:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C1 1 OK 1500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:58:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 1 ERROR 27+140 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:59:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 2 ERROR 1500+27+140 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:59:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 3 ERROR 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 09:59:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10 R5C1 4 INITIAL_HINT 27 Read the problem statement. What information is given in question 2 about the area to be constructed? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:00:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C1 1 OK a default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:01:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 1 ERROR 4650*a default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:01:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 2 ERROR 4650*A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:01:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 3 OK 46.50*A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:02:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 5 OK 215 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:03:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C2 1 OK 162750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:04:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C1 1 OK 3500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:04:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C1 1 OK 2089 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:05:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 OK number of students default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:05:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 BUG number of students number of students
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:06:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 2 BUG number of students number of students
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:06:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 3 OK number of students enrolled in algebra default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:06:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C2 1 BUG 175 175
You entered 175 in the wrong column. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:06:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 OK 175 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:07:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C2 2 OK 175*.12 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:07:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:07:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C2 1 OK 400*.12 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:07:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C2 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:07:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C2 1 OK 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:08:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 BUG s s
You entered S in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:08:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:08:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 2 OK s*.12 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:08:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 ERROR 100/.12 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:09:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 2 OK 100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:10:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 BUG 75*.12 75*.12
To find the number of students in algebra given the number of students earning an A or B in Algebra, you need to unwind your usual calculation. Divide 75 by the slope 0.12, rather than multiplying. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:10:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 2 OK 75/.12 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:10:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 OK nuber of people default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:11:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 OK cost of cake default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:11:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:11:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:11:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:11:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:11:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 OK .75*p default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:12:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C2 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:12:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 1 OK 36.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:12:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 1 OK 120/.75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:12:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 BUG 120/.75 120/.75
You entered 160 in the wrong row. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:12:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 2 ERROR 36.75/75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:12:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 3 OK 36.75/.75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:13:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:13:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:13:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK total distance default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:13:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:13:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:13:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:14:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 ERROR 96 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:14:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 ERROR 1 36/60 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:15:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 3 OK 1.6 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:15:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:15:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 OK 3500*.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:15:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:16:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 ERROR 1250*1750-750 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:16:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 BUG 1250*h-750 1250*h-750
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:17:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 ERROR 1250/h-750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:17:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 3 OK 1250*h+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:17:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 ERROR 1250*1750+750 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:19:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 3 ERROR 2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:20:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 4 ERROR .6 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:20:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 5 INITIAL_HINT .6 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:20:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 6 BUG 1.4 1.4
Subtract the initial value, 750, from the time first before you divide by 1250. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:21:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 7 BUG 1.4-750 1.4-750
Subtract the initial value, 750, from the total amount 1750 before you do the division. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:21:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 8 OK 1000/1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:22:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 BUG 3500-750/1250 3500-750/1250
Use parentheses. Type (3500 - 750)/ 1250 as (3500 - 750)/ 1250 BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session26 2005-11-07 10:22:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 2 OK (3500-750)/1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:30:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R1C1 1 OK current pay default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:30:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R1C2 1 OK employee's raise default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:30:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:31:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C1 1 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:31:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R4C1 1 OK 19500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:32:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R5C1 1 OK 47000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:32:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R6C2 1 OK 4500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R7C2 1 OK 2625 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 1 ERROR p*3 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:34:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 2 ERROR p/3% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:34:51.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 3 INITIAL_HINT p/3% Enter an expression to calculate the raise using the current salary. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:34:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 4 NEXT_HINT What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:34:58.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 5 NEXT_HINT Write an expression that means the same thing as 3 percent of the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:02.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 6 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 3 percent is the same as 0.03 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 7 NEXT_HINT Enter 0.03P. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 8 ERROR 0.03p. default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 9 ERROR 0.03p. default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 10 ERROR 3p default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:38.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 11 INITIAL_HINT 3p Enter 0.03P. HINT 5 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 12 OK 0.03*P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:56.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R6C1 1 INITIAL_HINT 4500 dollars is the given output value in this question, because it depends on the current salary. What value of the current salary does it take to output 4500 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:35:58.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R6C1 2 NEXT_HINT You know that the expression 0.03P represents the raise. What value of the current salary will make the general expression 0.03P output the given value of 4500 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:36:02.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R6C1 3 NEXT_HINT Since the general expression for the raise is 0.03P and since the raise in this question is 4500, set the two of them equal to find the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:36:05.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R6C1 4 NEXT_HINT Solve the equation 0.03P = 4500. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:36:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R6C1 5 OK 4500/0.03 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:36:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R7C1 1 OK 2625/0.03 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:37:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 OK gross pay default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:37:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 BUG g g
You entered G in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:39:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 OK the take home pay default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:39:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 ERROR g default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:39:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 2 ERROR g default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:39:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 OK g default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:39:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 2 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:39:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 3 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:42:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:42:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 ERROR 4000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:42:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 2 OK 40000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:43:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:43:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 ERROR g*65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:44:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 2 INITIAL_HINT g*65 Enter an expression to calculate the take-home pay using the gross pay. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:44:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 3 NEXT_HINT What part of the gross pay is the take-home pay? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:44:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 4 NEXT_HINT Write an expression that means the same thing as 65 percent of the gross pay. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:44:57.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 5 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 65 percent is the same as 0.65 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:45:01.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 6 NEXT_HINT Enter 0.65G. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:45:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 7 ERROR . default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:45:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 8 OK .65G default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:45:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 OK 3250/.65 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:46:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 1673.75/.65 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R1C1 1 OK time worked default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R3C1 1 OK t default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R5C1 1 OK 32.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R1C2 1 OK total pay default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R4C2 1 BUG 690 690
You entered 690.00 in the wrong row. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:47:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R5C2 1 ERROR 10 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:48:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R6C2 1 OK 690 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:48:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R7C2 1 ERROR 106.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:48:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R7C2 2 OK 1006.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:48:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02B R3C2 1 INITIAL_HINT Write an expression that means the same as the money earned per hour times the time worked. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:48:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02B R3C2 2 NEXT_HINT Write an expression that means the same thing as $10.75 times the time worked. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:48:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02B R3C2 3 NEXT_HINT If the time worked is T, the time worked times $10.75 is 10.75*T HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:49:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R3C2 4 OK 10.75*T default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:49:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R6C1 1 OK 690/10.75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R7C1 1 ERROR 1006.75/10.75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session27 2005-11-11 08:50:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02B R7C1 2 OK 1006.25/10.75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R1C1 1 OK restaurant bill default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:30:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R1C2 1 BUG rule for the tip rule for the tip
Don't worry about an expression yet. Here, you can just enter the tip. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R1C2 2 OK the tip default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:31:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:31:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R3C1 1 OK b default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:31:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R4C1 1 OK 35.90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R5C1 1 OK 65.45 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R6C2 1 ERROR 7.0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R6C2 2 OK 7.20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R7C2 1 ERROR 4.55 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R7C2 2 ERROR 450 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R7C2 3 ERROR 450 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:32:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R7C2 4 OK 4.50 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:33:15.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:33:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 2 NEXT_HINT How many dollars does it take to get the tip to be 7.2 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:33:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 3 NEXT_HINT If you were given the restaurant bill (the input) and you wanted to find the tip (the output), you would perform one or more operations on the restaurant bill. Since you are given the tip, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:33:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:33:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R6C1 5 ERROR 7.20*15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:33:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R6C1 6 BUG 7.20*.15 7.20*.15
To find the restaurant bill given the tip, you need to unwind your usual calculation. Divide 7.2 by the slope 0.15, rather than multiplying. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R6C1 7 OK 7.20/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R7C1 1 OK 4.50/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:34:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R3C2 1 ERROR b/.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:35:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R3C2 2 OK b*.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:36:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R1C1 1 OK the time default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:37:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 1 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:37:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 2 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:37:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 3 OK seconds default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:39:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R1C2 1 OK total distance default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C2 1 BUG miles miles
MILES is a unit of Linear Measure, but it is not the most appropriate one for this problem. What other units measure Linear Measure? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C2 2 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:39:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C1 1 OK t default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:39:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R4C1 1 OK 45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:40:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R5C1 1 OK 10*60 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:40:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C2 1 OK 4800 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:40:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R7C2 1 OK 2504 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:40:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:41:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R6C1 2 NEXT_HINT How many seconds does it take to get the total distance the Crawler has traveled to be 4800 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:41:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R6C1 3 NEXT_HINT If you were given the time (the input) and you wanted to find the total distance the Crawler has traveled (the output), you would perform one or more operations on the time. Since you are given the total distance the Crawler has traveled, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:41:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:41:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 5 BUG 4800/2.8 4800/2.8
Subtract the initial value, 250, from the time first before you divide by 2.8. BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:42:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 6 BUG 4800-250/2.8 4800-250/2.8
Use parentheses. Type (4800 - 250)/ 2.8 as (4800 - 250)/ 2.8 BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:42:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 7 OK (4800-250)/2.8 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:42:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R7C1 1 OK (2504-250)/2.8 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 1 ERROR (t-250)/2.8 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:44:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 2 ERROR (t-250)*2.8 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:44:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R4C2 1 INITIAL_HINT You are given a value for the time. Find the total distance the Crawler has traveled. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:44:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R4C2 2 NEXT_HINT You are given a value for the time. Find the total distance the Crawler has traveled by calculating 2.8 times the time plus 250. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:44:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 3 BUG 2.8+t*250 2.8+t*250
Think about what changes and what doesn't. How much does the total distance the Crawler has traveled change for each second of the time? BUG default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:44:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R4C2 3 INITIAL_HINT You are given a value for the time. Find the total distance the Crawler has traveled by calculating 2.8 times the time plus 250. HINT 2 default_condition Find Y, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:44:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 4 OK 2.8*t+250 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK number of snow cones default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK the profit default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:46:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 ERROR 4 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:47:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 2 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:47:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:47:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:48:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:48:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:46.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:48.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 2 NEXT_HINT How many snow cones does it take to get the profit to be 540 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:52.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 3 NEXT_HINT If you were given the number of snow cones we sell (the input) and you wanted to find the profit (the output), you would perform one or more operations on the number of snow cones we sell. Since you are given the profit, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:56.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:58.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 5 NEXT_HINT If you were given the number of snow cones we sell (the input) and you wanted to find the profit (the output), you would perform one or more operations on the number of snow cones we sell. Since you are given the profit, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:59.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 6 NEXT_HINT How many snow cones does it take to get the profit to be 540 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:49:59.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 7 NEXT_HINT Is the number given in this question an input or an output value? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:50:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 8 ERROR 540-60*1.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:51:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 9 BUG 540/1.50+60 540/1.50+60
Subtract the initial value, -60, from the total amount 540 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 10 ERROR -60-540/1.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:52:19.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 11 INITIAL_HINT -60-540/1.50 Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:52:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 12 BUG 540-60/1.50 540-60/1.50
Use parentheses. Type (540 - -60)/ 1.5 as (540 - -60)/ 1.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:52:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 13 ERROR (540-60)/1.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:53:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 14 BUG 540-(60/1.50) 540-(60/1.50)
Use parentheses. Type (540 - -60)/ 1.5 as (540 - -60)/ 1.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 15 BUG 540-(-60/1.50) 540-(-60/1.50)
Use parentheses. Type (540 - -60)/ 1.5 as (540 - -60)/ 1.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:53:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 16 OK (540--60)/1.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:54:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 ERROR (540--60)/c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:54:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 2 ERROR (540--60) c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 3 ERROR (540--60) c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C2 1 ERROR * default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session28 2005-11-16 08:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C2 2 ERROR * default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:54:29.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 1 INITIAL_HINT (540--60) c Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:54:30.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 2 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:54:34.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the profit plus the change in the profit for each snow cone times the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:54:38.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 4 NEXT_HINT Write an expression that means the same thing as -60.00 dollars plus 1.5 times the number of snow cones we sell. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:54:42.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 5 NEXT_HINT Enter -60.00 plus 1.5C HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:55:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 6 OK -60.00+1.50*c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:55:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 ERROR -60+1.50*238.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:55:44.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 2 INITIAL_HINT -60+1.50*238.50 283.5 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 283.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:55:45.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 3 NEXT_HINT You know that the expression 1.5C - 60 represents the profit. What value of the number of snow cones we sell will make the general expression 1.5C - 60 output the given value of 283.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:55:49.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 4 NEXT_HINT Since the general expression for the profit is 1.5C - 60 and since the profit in this question is 283.5, set the two of them equal to find the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:55:53.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 5 NEXT_HINT Solve the equation 1.5C - 60 = 283.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:56:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 6 ERROR 1.50*c-60.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:56:18.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 7 INITIAL_HINT 1.50*c-60.00 Solve the equation 1.5C - 60 = 283.5. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:57:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 8 ERROR 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:57:15.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 9 INITIAL_HINT 100 Solve the equation 1.5C - 60 = 283.5. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:57:16.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 10 NEXT_HINT Since the general expression for the profit is 1.5C - 60 and since the profit in this question is 283.5, set the two of them equal to find the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:57:27.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R7C1 11 NEXT_HINT Solve the equation 1.5C - 60 = 283.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:57:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 12 BUG 1.5/238.50 1.5/238.50
Subtract -60 from 283.5, and then divide the result by 1.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:58:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 13 BUG 283.5-(-60/1.5) 283.5-(-60/1.5)
Use parentheses. Type (283.5 - -60)/ 1.5 as (283.5 - -60)/ 1.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:58:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 14 BUG 283.5-(-60)/1.5 283.5-(-60)/1.5
Use parentheses. Type (283.5 - -60)/ 1.5 as (283.5 - -60)/ 1.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 09:59:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 15 OK (283.5--60)/1.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:02:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 BUG lenght of the mobile lenght of the mobile
Although mobile is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:03:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 2 BUG variable for the lenght of the mobile variable for the lenght of the mobile
Don't worry about an expression yet. Here, you can just enter the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:03:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 3 BUG variable for the lenght of the mobile variable for the lenght of the mobile
Don't worry about an expression yet. Here, you can just enter the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:03:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 4 BUG variable for the lenght of the mobile variable for the lenght of the mobile
Don't worry about an expression yet. Here, you can just enter the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:04:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 5 BUG the lenght of the mobile the lenght of the mobile
Although mobile is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:04:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 6 BUG the lengh of the mobile the lengh of the mobile
Although mobile is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:04:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 7 BUG the length of the mobile the length of the mobile
Try the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:05:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 8 OK the length of the phone call default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:05:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 ERROR mintunes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:05:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 2 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:05:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 3 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:05:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:05:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK total cost of the call default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:06:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:06:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 ERROR .75*3.50+m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 2 BUG .75+m*3.50 .75+m*3.50
Think about what changes and what doesn't. How much does the cost of a mobile telephone call change for each minute of the length of the phone call? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:22.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R4C2 1 INITIAL_HINT You are given a value for the length of the phone call. Find the cost of a mobile telephone call. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:23.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R4C2 2 NEXT_HINT You are given a value for the length of the phone call. Find the cost of a mobile telephone call by calculating 0.75 times the length of the phone call plus 3.5. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 3 BUG .75+3.50*m .75+3.50*m
Think about what changes and what doesn't. How much does the cost of a mobile telephone call change for each minute of the length of the phone call? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 4 BUG .75+3.50*m .75+3.50*m
Think about what changes and what doesn't. How much does the cost of a mobile telephone call change for each minute of the length of the phone call? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:44.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 5 INITIAL_HINT .75+3.50*m Enter an expression to calculate the cost of a mobile telephone call using the length of the phone call. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:46.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 6 NEXT_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:49.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 7 NEXT_HINT Write an expression that means the same thing as the initial value of the cost of a mobile telephone call plus the change in the cost of a mobile telephone call for each minute times the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:07:53.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R3C2 8 NEXT_HINT Write an expression that means the same thing as 3.50 dollars plus 0.75 times the length of the phone call. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:08:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 9 OK 3.50+.75*m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:08:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:08:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:08:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:08:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:10:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 ERROR 17.00/3.50+.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:10:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 2 ERROR 17.00/3.50+.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:10:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 3 ERROR 17.00/3.50-.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:11:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 4 ERROR 17.00/3.50-.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:11:25.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R6C1 5 INITIAL_HINT 17.00/3.50-.75 17 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 17 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:11:30.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R6C1 6 NEXT_HINT You know that the expression 0.75M + 3.5 represents the cost of a mobile telephone call. What value of the length of the phone call will make the general expression 0.75M + 3.5 output the given value of 17 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:11:37.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R6C1 7 NEXT_HINT Since the general expression for the cost of a mobile telephone call is 0.75M + 3.5 and since the cost of a mobile telephone call in this question is 17, set the two of them equal to find the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:11:41.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R6C1 8 NEXT_HINT Solve the equation 0.75M + 3.5 = 17. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:12:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 9 BUG 17/.75+3.50 17/.75+3.50
Subtract the initial value, 3.5, from the total amount 17 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:12:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 10 BUG 17-3.5/.75 17-3.5/.75
Use parentheses. Type (17 - 3.5)/ 0.75 as (17 - 3.5)/ 0.75 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:12:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 11 OK (17-3.5)/.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 ERROR 31.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 2 ERROR 31 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 3 ERROR 31.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:32.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R7C1 4 INITIAL_HINT 31.00 32.75 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 32.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:42.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R7C1 5 NEXT_HINT You know that the expression 0.75M + 3.5 represents the cost of a mobile telephone call. What value of the length of the phone call will make the general expression 0.75M + 3.5 output the given value of 32.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:45.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R7C1 6 NEXT_HINT Since the general expression for the cost of a mobile telephone call is 0.75M + 3.5 and since the cost of a mobile telephone call in this question is 32.75, set the two of them equal to find the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:13:49.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R7C1 7 NEXT_HINT Solve the equation 0.75M + 3.5 = 32.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:14:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 8 OK (32.75-3.50)/.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:15:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:15:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:16:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK total cost of the order default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session29 2005-11-21 10:16:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:23:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 BUG $ $
You entered $ in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:23:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 2 OK i default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR 10*5-15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR 10+i/15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 ERROR 10*i/15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:31.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 4 INITIAL_HINT 10*i/15 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:34.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 5 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:38.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 6 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 15%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:47.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 7 NEXT_HINT Discounting each item in the order by 15%. means subtracting 0.15 times the cost of the items. So the discount is 0.15I. Since the discount is subtracted from the cost of the items, the total cost of the order will be I-0.15I. Don't forget the flat fee of $10 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:24:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 8 NEXT_HINT Write an expression that means the cost of the items minus 0.15 times the cost of the items plus the flat fee of $10 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:25:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 9 ERROR i-15+10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:25:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 10 ERROR i-%15+$10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:25:23.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 11 INITIAL_HINT i-%15+$10 Write an expression that means the cost of the items minus 0.15 times the cost of the items plus the flat fee of $10 . HINT 5 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:26:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 12 OK i-.15*i+10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:26:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:26:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:27:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 OK 180 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:27:16.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 INITIAL_HINT 116.25 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 116.25 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:27:28.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 2 NEXT_HINT You know that the expression 0.85I + 10 represents the total cost of the order. What value of the cost of the items will make the general expression 0.85I + 10 output the given value of 116.25 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:27:32.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 3 NEXT_HINT Since the general expression for the total cost of the order is 0.85I + 10 and since the total cost of the order in this question is 116.25, set the two of them equal to find the cost of the items. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:27:36.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 4 NEXT_HINT Solve the equation 0.85I + 10 = 116.25. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:28:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 5 BUG 116.25/.85-10 116.25/.85-10
Subtract the initial value, 10, from the total amount 116.25 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:29:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 6 BUG 116.25-10/.85 116.25-10/.85
Use parentheses. Type (116.25 - 10)/ 0.85 as (116.25 - 10)/ 0.85 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:29:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 7 OK (116.25-10)/.85 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:29:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK (180-10)/.85 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:31:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C1 1 OK cellular phone time default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:31:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C1 1 ERROR mintunes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C1 2 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:31:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:31:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R4C1 1 OK 31 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:32:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R5C1 1 OK 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:32:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 1 BUG amount of bills amount of bills
Try balance on the next bill. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:32:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 2 OK balance on the next bill default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:33:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C2 1 ERROR balance default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:33:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C2 2 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:33:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 1 ERROR 4.65*m+.19 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:34:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 2 ERROR (4.65*m)+.19 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:34:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 3 ERROR (4.65+.19)/m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:34:44.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 4 INITIAL_HINT (4.65+.19)/m Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:34:46.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 5 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:34:50.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:34:59.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 7 NEXT_HINT Write an expression that means the same thing as -4.65 dollars plus 0.19 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:35:04.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 8 NEXT_HINT Enter -4.65 plus 0.19M HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:35:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 9 OK -4.65+.19*m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C2 1 OK 23.85 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:35:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C2 1 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:37:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 1 BUG 23.85/.19--4.65 23.85/.19--4.65
Subtract the initial value, -4.65, from the total amount 23.85 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 2 BUG (-4.65-23.85)/.19 (-4.65-23.85)/.19
Think about the sign of your answer. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:39:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 3 ERROR -4.65-23.85/.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:39:22.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 4 INITIAL_HINT -4.65-23.85/.19 23.85 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 23.85 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:39:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 5 ERROR -4.65-(23.85/.19) default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:40:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 6 ERROR 23.85--4.65+.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:40:42.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 7 INITIAL_HINT 23.85--4.65+.19 23.85 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 23.85 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:40:44.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 8 NEXT_HINT You know that the expression 0.19M - 4.65 represents balance on the next bill. What value of the cellular phone time used next month will make the general expression 0.19M - 4.65 output the given value of 23.85 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:40:50.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 9 NEXT_HINT Since the general expression for balance on the next bill is 0.19M - 4.65 and since balance on the next bill in this question is 23.85, set the two of them equal to find the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:40:56.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 10 NEXT_HINT Solve the equation 0.19M - 4.65 = 23.85. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:42:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 11 ERROR -4.65-23.85/.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:42:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 12 ERROR -4.65-23.85*.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:42:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 13 ERROR -4.65/23.85-.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:43:29.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 14 INITIAL_HINT -4.65/23.85-.19 Solve the equation 0.19M - 4.65 = 23.85. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B ValidEquations 1 OK 0.19m-4.65=23.85 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B ValidEquations 2 OK 0.19M-4.65=23.85 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 1 ERROR clt 0.19M-4.65 = 23.85 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:45:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 2 ERROR mt 0.19M-4.65 = 23.85 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:45:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 3 ERROR rds 0.19M-4.65 = 23.85 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:45:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 4 ERROR squareroot 0.19M-4.65 = 23.85 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:45:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 5 ERROR distribute 0.19M-4.65 = 23.85 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:45:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 6 ERROR aproot left default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 7 BUG multiply 23.85 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:11.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 8 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:13.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 9 NEXT_HINT -4.65 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4.65 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 23.85 strategic 10 OK subtract -4.65 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M = 28.5 strategic 1 ERROR clt 0.19M = 28.5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M = 28.5 strategic 2 ERROR mt 0.19M = 28.5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:46:53.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B 0.19M = 28.5 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:00.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B 0.19M = 28.5 strategic 4 NEXT_HINT 0.19M is 0.19 times M. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:04.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B 0.19M = 28.5 strategic 5 NEXT_HINT Divide both sides by 0.19. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M = 28.5 strategic 6 OK divide .19 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 15 OK 150 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B ValidEquations 3 OK 0.19M-4.65=15 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M-4.65 = 15 strategic 1 OK subtract -4.65 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:47:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B 0.19M = 19.65 strategic 1 OK divide .19 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C1 1 OK 103.42 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:49:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 1 OK number of hours default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:49:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 1 BUG time time
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TIME? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:49:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 2 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:50:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C2 1 OK tempture of liquid default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:50:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 1 ERROR tempture default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:50:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 2 ERROR dergrees default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:51:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 3 BUG temperature temperature
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TEMPERATURE? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 4 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:52:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 5 OK degrees celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C2 1 BUG 100 100
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C2 2 BUG 100 100
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C2 3 OK -100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 ERROR 32 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R4C1 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session30 2005-11-23 08:53:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R5C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:49:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 1 OK -35-2.5h default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:50:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 1 ERROR 29 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:51:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 2 OK 26 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:51:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 BUG 0 0
Subtract the initial value, -35, from the number of hours from now first before you divide by -2.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:51:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 2 BUG 35 35
Subtracting -35 from 0 is OK, but then you need to divide by -2.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 3 BUG -35-0/2.5 -35-0/2.5
Subtract the initial value, -35, from the total amount 0 before you do the division. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 4 BUG -35-0/2.5 -35-0/2.5
Subtract the initial value, -35, from the total amount 0 before you do the division. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 5 BUG 0 0
Subtract the initial value, -35, from the number of hours from now first before you divide by -2.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 6 ERROR 2.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:40.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 7 INITIAL_HINT 2.5 0 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output 0 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:41.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 8 NEXT_HINT You know that the expression -35 - 2.5H represents the temperature of the liquid. What value of the number of hours from now will make the general expression -35 - 2.5H output the given value of 0 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:45.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 9 NEXT_HINT Since the general expression for the temperature of the liquid is -35 - 2.5H and since the temperature of the liquid in this question is 0, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:52:48.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 10 NEXT_HINT Solve the equation -35 - 2.5H = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:53:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 11 ERROR -2.5-0/-35 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:53:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 12 BUG 0 0
Subtract the initial value, -35, from the number of hours from now first before you divide by -2.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 13 ERROR (2.5/0)--35 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:06.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 14 INITIAL_HINT (2.5/0)--35 Solve the equation -35 - 2.5H = 0. HINT 4 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:17.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 15 NEXT_HINT You know that the expression -35 - 2.5H represents the temperature of the liquid. What value of the number of hours from now will make the general expression -35 - 2.5H output the given value of 0 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:23.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 16 INITIAL_HINT (2.5/0)--35 You know that the expression -35 - 2.5H represents the temperature of the liquid. What value of the number of hours from now will make the general expression -35 - 2.5H output the given value of 0 degrees Celsius? HINT 2 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:24.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 17 NEXT_HINT Since the general expression for the temperature of the liquid is -35 - 2.5H and since the temperature of the liquid in this question is 0, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:28.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 18 INITIAL_HINT (2.5/0)--35 Since the general expression for the temperature of the liquid is -35 - 2.5H and since the temperature of the liquid in this question is 0, set the two of them equal to find the number of hours from now. HINT 3 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:30.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 19 NEXT_HINT Solve the equation -35 - 2.5H = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 1 OK -35-2.5h=0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 2 OK -35-2.5H=0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:57.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:54:59.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 2 NEXT_HINT -35 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -35 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:55:00.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 3 NEXT_HINT What can you do to both sides of the equation to eliminate the constant value from the left side? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:55:02.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 4 NEXT_HINT -35 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -35 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:55:15.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:55:18.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 6 NEXT_HINT -35 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -35 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:55:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 7 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:56:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -2.5H = 35 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:56:09.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 -2.5H = 35 strategic 2 NEXT_HINT -2.5H is -2.5 times H. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:56:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5H = 35 strategic 3 BUG divide 2.5 In this equation, H is multiplied by -2.5. Dividing by 2.5 leaves -H, so you still need to remove the negative sign. It is better to divide by -2.5, since that would leave H. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:56:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5H = 35 strategic 4 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session31 2005-11-23 09:56:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 20 OK -14 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:37:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 OK digging time default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:37:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 2 BUG time time
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TIME? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:38:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 3 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:38:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK the depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:38:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:39:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 4 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 5 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:39:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 ERROR , default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 2 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:40:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 ERROR 1225+12*m default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 2 ERROR 12*m+1225 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 3 ERROR 1225*12+m default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 4 INITIAL_HINT 1225*12+m Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:04.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 5 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:15.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 7 NEXT_HINT Write an expression that means the same thing as -1225 minus 12 times the digging time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 8 OK -1225-12*m default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:42:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 OK 10*12 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:43:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 ERROR -3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:43:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 2 ERROR 12*7 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:43:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 3 BUG 12*3 12*3
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:43:59.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 4 INITIAL_HINT 12*3 Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:44:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 5 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:44:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 6 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:44:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 7 ERROR 12/3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:44:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 8 ERROR 3/12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:44:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 9 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:44:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 10 INITIAL_HINT 3 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 BUG 1705 1705
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:45:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 BUG 1,705 1,705
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:45:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 3 OK -1,705 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:46:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 11 OK 12*-3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:46:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 1 BUG 0 0
Subtract the initial value, -1225, from the digging time first before you divide by -12. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 2 BUG -1225 -1225
Subtract the initial value, -1225, from the total amount 0 before you do the division. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:48:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 3 INITIAL_HINT -1225 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:48:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 4 NEXT_HINT You know that the expression -1225 - 12M represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12M output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:48:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 5 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12M and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:48:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 6 NEXT_HINT Solve the equation -1225 - 12M = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 7 ERROR -1225-12*m default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1225-12m=0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 OK -1225-12M=0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12M = 0 strategic 1 ERROR subtract 12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12M = 0 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:32.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12M = 0 strategic 3 NEXT_HINT -1225 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1225 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12M = 0 strategic 4 OK subtract -1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:49:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12M = 1225 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:50:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 8 OK -1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:50:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 3 OK -1225-12M=-1705 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12M = -1705 strategic 1 ERROR divide -1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12M = -1705 strategic 2 ERROR subtract -12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12M = -1705 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12M = -1705 strategic 4 NEXT_HINT -1225 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1225 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12M = -1705 strategic 5 OK subtract -1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12M = -480 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session32 2005-11-30 08:51:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:33:57.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:05.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:19.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 2 BUG divide 2 To remove the coefficient of [2y-3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 3 ERROR clt (2y-3)/2 = 5/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:36.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:37.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 5 NEXT_HINT Distribute on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 6 OK distribute (2y-3)/2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:34:56.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:35:05.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 2 ERROR rds 2y/2-3/2 = 5/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:35:09.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 3 OK clt 2y/2-3/2 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:35:25.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:35:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 8 ERROR mt (2y-3)/2 = 5/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:35:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 9 BUG divide 2 To remove the coefficient of [2y-3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:00.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 10 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:11.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 1 ERROR divide 1.5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:18.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:20.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:27.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 4 OK mt 5/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 10/2 strategic 1 OK mt (2y-3)/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:41.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 1 ERROR mt 2y-3 = 10/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:45.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:47.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:55.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 4 ERROR aproot right default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:36:59.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 5 ERROR clt 2y-3 = 10/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:37:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 6 ERROR distribute 2y-3 = 10/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:37:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 7 OK rf 10/2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:13.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG multiply 2 To remove the coefficient of 2y, you need to divide. Erase your last step and then divide both sides by 2. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:20.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:24.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:30.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 5 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 6 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:41.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 7 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:42.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 8 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:46.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 9 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:38:55.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 10 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:13.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 ERROR mt 2y = 8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:22.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:23.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:32.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:39:55.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:40:00.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:40:30.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-8-1) strategic 1 BUG subtract 10 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:40:42.0 HINT HINT ES_02 ES_02-1 EG31 -10(-8-1) strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:40:51.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-8-1) strategic 3 ERROR rds -10(-8-1) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:40:55.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-8-1) strategic 4 OK clt -8-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:41:01.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10*-9 strategic 1 OK mt -10*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:41:13.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (1-4)*8 strategic 1 OK clt 1-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:41:17.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -3*8 strategic 1 OK mt -3*8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:41:50.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-8*-3 strategic 1 OK mt 8*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:41:55.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-(-24) strategic 1 OK clt -8-(-24) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:02.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8+7)*5 strategic 1 OK clt -8+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:07.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -1*5 strategic 1 OK mt -1*5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:14.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8*0+5 strategic 1 OK mt -8*0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 0+5 strategic 1 OK clt 0+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:26.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9+2*-4 strategic 1 OK mt 2*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9+(-8) strategic 1 OK clt 9+(-8) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:38.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5(4-8) strategic 1 OK clt 4-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:42.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5*-4 strategic 1 OK mt -5*-4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:56.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-7*8 strategic 1 OK mt 7*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:42:59.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-56 strategic 1 OK clt -3-56 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (10-5)*-6 strategic 1 ERROR mt (10-5)*-6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (10-5)*-6 strategic 2 OK clt 10-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 10-5=5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 10-5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 10-5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:38.0 HINT HINT ES_02 ES_02-2 EG30 (10-5)*-6 strategic 3 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:39.0 HINT HINT ES_02 ES_02-2 EG30 (10-5)*-6 strategic 4 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (10-5)*-6 strategic 5 OK clt 10-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:43:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR (10-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR (10-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:03.0 HINT HINT ES_02 ES_02-2 EG30 (10-5)*-6 strategic 6 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:05.0 HINT HINT ES_02 ES_02-2 EG30 (10-5)*-6 strategic 7 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:08.0 HINT HINT ES_02 ES_02-2 EG30 (10-5)*-6 strategic 8 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (10-5)*-6 strategic 9 OK clt 10-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK 5*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 5*-6 strategic 1 OK mt 5*-6 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:44:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 ERROR -1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:45:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 ERROR 5*-6= default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:45:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 OK -30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:45:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(3+7) strategic 1 OK clt 3+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:45:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -7*10 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:45:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*10 strategic 1 OK mt -7*10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:45:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -70 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*0 strategic 1 ERROR clt -6-2*0 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*0 strategic 2 OK mt 2*0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -6-0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-0 strategic 1 OK clt -6-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-9*10 strategic 1 OK mt 9*10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:46:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -3--90 -3--90
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -3-90 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 1 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:12.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-3]+[-90]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR 93 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:32.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR 87 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR -87 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:36.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 7 INITIAL_HINT -87 In the group above, you have [-3]+[-90]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:47:57.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK -3+(-90) default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 2 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR -3+(-90 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 10 OK -3+(-90) default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:38.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:39.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:43.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 5 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:44.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 6 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:48:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 7 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 11 ERROR -87 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 12 ERROR -87 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 13 ERROR -87 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 14 ERROR -87 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:33.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 8 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:34.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 9 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 10 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:49:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 15 OK -3+-90 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:50:08.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 11 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:50:09.0 HINT HINT ES_02 ES_02-2 EG29 -3-90 strategic 12 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:50:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 13 ERROR distribute -3-90 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:50:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 14 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:50:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 16 OK -3+-90 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:51:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 15 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:51:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 17 OK -3+-90 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:51:57.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 16 ERROR rds -3-90 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:52:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-9*10 strategic 2 OK mt 9*10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:52:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 18 OK -3-90 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:52:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 17 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:52:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 19 OK -3+-90 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:52:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-90 strategic 18 OK clt -3-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:53:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 20 OK -93 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:53:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1+4)*8 strategic 1 OK clt -1+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:53:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:53:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 3*8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 3*8 strategic 1 OK mt 3*8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 24 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 6(-9-1) strategic 1 OK clt -9-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 6*-10 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 6*-10 strategic 1 OK mt 6*-10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -60 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7*-6-3 strategic 1 ERROR clt -7*-6-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:47.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7*-6-3 strategic 2 OK mt -7*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:54:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -42 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:55:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG -42-3 -42-3
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session33 2005-12-02 08:55:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -42-3 -42-3
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:48:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-9*-8 strategic 1 OK mt 9*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:48:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -72 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:49:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-9*-8 strategic 2 ERROR clt -5-9*-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:49:23.0 HINT HINT ES_02 ES_02-2 EG29 -5-9*-8 strategic 3 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:49:24.0 HINT HINT ES_02 ES_02-2 EG29 -5-9*-8 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:49:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-9*-8 strategic 5 OK mt 9*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:49:47.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG -5-72 -5-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:50:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -5-72 -5-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:50:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 BUG -5-72 -5-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:50:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 BUG -5-72 -5-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:50:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 BUG -5-72 -5-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:50:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 BUG -5-72 -5-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:51:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK -5+72 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:51:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5+72 strategic 1 OK clt -5+72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:51:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR -67 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:51:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 10 OK 67 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:53:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-8*8 strategic 1 OK mt 8*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:53:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -6+48 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:53:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -6+64 -6+64
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:53:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -6+-64 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:53:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-64 strategic 1 OK clt -6-64 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:54:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 58 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:54:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR -58 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:54:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR -58 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:54:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 ERROR 58 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:54:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK -70 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:55:15.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-2+6 strategic 1 ERROR clt 1*-2+6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:55:18.0 HINT HINT ES_02 ES_02-2 EG29 1*-2+6 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:55:19.0 HINT HINT ES_02 ES_02-2 EG29 1*-2+6 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:55:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-2+6 strategic 4 OK mt 1*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:55:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -2+6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:55:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2+6 strategic 1 OK clt -2+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:56:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:56:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-3)*-10 strategic 1 OK clt 0-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:56:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 3*-10 3*-10
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:57:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG 30 30
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:57:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG 0+30 0+30
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:57:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 BUG 0+-30 0+-30
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:57:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 BUG -0+30 -0+30
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:58:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK -3*-10 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:59:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -3*-10 strategic 1 OK mt -3*-10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 09:59:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 OK 30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:00:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-4-2) strategic 1 OK clt -4-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:01:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG -6*6 -6*6
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:01:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -6*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:01:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-6 strategic 1 OK mt -6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:01:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:01:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(1-1) strategic 1 OK clt 1-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:01:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -2*0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2*0 strategic 1 OK mt -2*0 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-1)*5 strategic 1 OK clt -3-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -4*5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -4*5 strategic 1 OK mt -4*5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-4*8 strategic 1 ERROR clt -5-4*8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:02:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-4*8 strategic 2 OK mt 4*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:03:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -5-32 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:03:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-32 strategic 1 OK clt -5-32 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:03:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -37 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:03:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+9*-7 strategic 1 OK mt 9*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -4+-63 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-63 strategic 1 OK clt -4-63 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -67 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:42.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -4(17-14) = y strategic 1 ERROR mt -4(17-14) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:46.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -4(17-14) = y strategic 2 OK clt 17-14 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:50.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -4*3 = y strategic 1 OK mt -4*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:04:58.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = (47+46)*-38 strategic 1 OK clt 47+46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:00.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = 93*-38 strategic 1 OK mt 93*-38 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:08.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -12*8-24 strategic 1 ERROR clt x = -12*8-24 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:13.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -12*8-24 strategic 2 OK mt -12*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:15.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -96-24 strategic 1 OK clt -96-24 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:21.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -38-1*-4 = x strategic 1 OK mt 1*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:23.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -38-(-4) = x strategic 1 OK clt -38-(-4) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -4(20+9) strategic 1 OK clt 20+9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:33.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -4*29 strategic 1 OK mt -4*29 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:39.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -11-38*-33 strategic 1 OK mt 38*-33 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:41.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -11-(-1254) strategic 1 OK clt -11-(-1254) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:48.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-8-9)*-7 strategic 1 ERROR mt x = (-8-9)*-7 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-8-9)*-7 strategic 2 OK clt -8-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:05:58.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = -17*-7 strategic 1 OK mt -17*-7 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:06:05.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (-16+40)*-35 = y strategic 1 OK clt -16+40 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:06:08.0 CYCLE CYCLE ES_02 ES_02-3 EG34A 24*-35 = y strategic 1 OK mt 24*-35 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:06:15.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -20-43*4 = y strategic 1 OK mt 43*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:06:18.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -20-172 = y strategic 1 OK clt -20-172 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:06:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35 9(-5-1) = x strategic 1 OK clt -5-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:06:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35 9*-6 = x strategic 1 OK mt 9*-6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:07:32.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-4-43)*-21 = y strategic 1 OK clt -4-43 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:08:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -47*-21 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:08:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -47*-21 = y strategic 1 OK mt -47*-21 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:10:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 987 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:11:07.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -34(-34-8) = y strategic 1 OK clt -34-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:12:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 ERROR -34*52 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:14:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 ERROR -34 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:14:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 3 ERROR -34 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:14:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 4 ERROR -34 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:14:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 5 ERROR -34 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:15:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 6 ERROR -34 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:16:11.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 7 OK -34*-42 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:16:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -34*-42 = y strategic 1 OK mt -34*-42 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:16:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 8 OK 1428 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:17:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (42-17)*0 strategic 1 OK clt 42-17 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:17:33.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK 25*0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:17:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = 25*0 strategic 1 OK mt 25*0 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:17:42.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -9y+1 strategic 1 ERROR clt -6 = -9y+1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -9y+1 strategic 2 ERROR mt -6 = -9y+1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:32.0 HINT HINT ES_02 ES_02-5 EG40 -6 = -9y+1 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:33.0 HINT HINT ES_02 ES_02-5 EG40 -6 = -9y+1 strategic 4 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -9y+1 strategic 5 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-1 = -9y+1-1 strategic 1 OK clt -6-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:20:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = -9y+1-1 strategic 1 OK clt -9y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:18.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -9y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:19.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -9y strategic 2 NEXT_HINT -9y is -9 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = -9y strategic 3 BUG divide 9 In this equation, y is multiplied by -9. Dividing by 9 leaves -y, so you still need to remove the negative sign. It is better to divide by -9, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:33.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -9y strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:34.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -9y strategic 5 NEXT_HINT -9y is -9 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:38.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -9y strategic 6 NEXT_HINT Divide both sides by -9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:21:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = -9y strategic 7 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:23:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/-9 = -9y/-9 strategic 1 OK rf -7/-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:23:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/9 = -9y/-9 strategic 1 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:23:48.0 HINT HINT ES_02 ES_02-5 EG40 -3+7y = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:23:49.0 HINT HINT ES_02 ES_02-5 EG40 -3+7y = -2 strategic 2 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:23:53.0 HINT HINT ES_02 ES_02-5 EG40 -3+7y = -2 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:24:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+7y = -2 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:24:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+7y+3 = -2+3 strategic 1 OK clt -2+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:24:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+7y+3 = 1 strategic 1 OK clt -3+7y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:24:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 1 strategic 1 ERROR mt 7y = 1 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:24:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 1 strategic 2 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:24:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y/7 = 1/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:25:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-5x = 6 strategic 1 ERROR clt 9-5x = 6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:25:07.0 HINT HINT ES_02 ES_02-5 EG40 9-5x = 6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session34 2005-12-02 10:25:08.0 HINT HINT ES_02 ES_02-5 EG40 9-5x = 6 strategic 3 NEXT_HINT 9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-6x = 8 strategic 1 ERROR mt 4-6x = 8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:15.0 HINT HINT ES_02 ES_02-5 EG40 4-6x = 8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:17.0 HINT HINT ES_02 ES_02-5 EG40 4-6x = 8 strategic 3 NEXT_HINT 4 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:23.0 HINT HINT ES_02 ES_02-5 EG40 4-6x = 8 strategic 4 NEXT_HINT You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-6x = 8 strategic 5 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-6x-4 = 8-4 strategic 1 OK clt 4-6x-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 8-4 strategic 1 OK clt 8-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:18:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 4 strategic 1 ERROR mt -6x = 4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:01.0 HINT HINT ES_02 ES_02-5 EG40 -6x = 4 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:02.0 HINT HINT ES_02 ES_02-5 EG40 -6x = 4 strategic 3 NEXT_HINT -6x is -6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:06.0 HINT HINT ES_02 ES_02-5 EG40 -6x = 4 strategic 4 NEXT_HINT Divide both sides by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 4 strategic 5 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = 4/-6 strategic 1 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 4/-6 strategic 1 OK rf 4/-6 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x+5 = 6 strategic 1 ERROR subtract -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:19:58.0 HINT HINT ES_02 ES_02-5 EG40 -10x+5 = 6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:20:01.0 HINT HINT ES_02 ES_02-5 EG40 -10x+5 = 6 strategic 3 NEXT_HINT 5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:20:05.0 HINT HINT ES_02 ES_02-5 EG40 -10x+5 = 6 strategic 4 NEXT_HINT You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:20:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x+5 = 6 strategic 5 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:20:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x+5-5 = 6-5 strategic 1 OK clt 6-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:20:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x+5-5 = 1 strategic 1 OK clt -10x+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x = 1 strategic 1 ERROR clt -10x = 1 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:17.0 HINT HINT ES_02 ES_02-5 EG40 -10x = 1 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:19.0 HINT HINT ES_02 ES_02-5 EG40 -10x = 1 strategic 3 NEXT_HINT -10x is -10 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x = 1 strategic 4 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10x/-10 = 1/-10 strategic 1 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 1/-10 strategic 1 OK rf 1/-10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:21:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x-9 = -3 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x-9-(-9) = -3-(-9) strategic 1 OK clt -7x-9-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = -3-(-9) strategic 1 OK clt -3-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x = 6 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7x/-7 = 6/-7 strategic 1 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 6/-7 strategic 1 OK rf 6/-7 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 2y+7 strategic 1 ERROR subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:49.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 2y+7 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:50.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 2y+7 strategic 3 NEXT_HINT 7 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:54.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 2y+7 strategic 4 NEXT_HINT You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:22:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 2y+7 strategic 5 BUG subtract -7 To remove 7 from the right side, you can subtract a positive from it. Erase your last step and subtract 7 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 2y+7 strategic 6 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5-7 = 2y+7-7 strategic 1 OK clt -5-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12 = 2y+7-7 strategic 1 OK clt 2y+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12 = 2y strategic 1 BUG divide -12 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:34.0 HINT HINT ES_02 ES_02-5 EG40 -12 = 2y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:35.0 HINT HINT ES_02 ES_02-5 EG40 -12 = 2y strategic 3 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12 = 2y strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12/2 = 2y/2 strategic 1 OK rf -12/2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:23:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:24:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 5x+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:24:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-7 = 5x+7-7 strategic 1 OK clt 0-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:24:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 5x+7-7 strategic 1 OK clt 5x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:24:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 5x strategic 1 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:24:57.0 HINT HINT ES_02 ES_02-5 EG40 -7 = 5x strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:24:58.0 HINT HINT ES_02 ES_02-5 EG40 -7 = 5x strategic 3 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 5x strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/5 = 5x/5 strategic 1 ERROR mt -7/5 = 5x/5 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/5 = 5x/5 strategic 2 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/5 = 5x/5 strategic 3 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/5 = x strategic 1 BUG rf -7/5 = x strategic You already solved the equation. x is -7/5. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -1y+4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-4 = -1y+4-4 strategic 1 OK clt -1y+4-4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:25:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-4 = -1y strategic 1 OK clt -4-4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:26:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -1y strategic 1 BUG divide -8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:26:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -1y strategic 2 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:26:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8/-1 = -1y/-1 strategic 1 OK rf -8/-1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:26:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = -1y/-1 strategic 1 OK rf -1y/-1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+7 = -1 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+7-7 = -1-7 strategic 1 OK clt 9x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -1-7 strategic 1 OK clt -1-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -8 strategic 1 BUG divide -8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:27.0 HINT HINT ES_02 ES_02-5 EG40 9x/-8 = -8/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:28.0 HINT HINT ES_02 ES_02-5 EG40 9x/-8 = -8/-8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -8 strategic 2 ERROR divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:47.0 HINT HINT ES_02 ES_02-5 EG40 9x = -8 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:48.0 HINT HINT ES_02 ES_02-5 EG40 9x = -8 strategic 4 NEXT_HINT 9x is 9 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:27:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -8 strategic 5 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = -8/9 strategic 1 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -8/9 strategic 1 BUG rf x = -8/9 strategic You already solved the equation. x is -8/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 8y+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-2 = 8y+2-2 strategic 1 OK clt -6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 8y+2-2 strategic 1 OK clt 8y+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 8y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8/8 = 8y/8 strategic 1 OK rf -8/8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:28:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 8y/8 strategic 1 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:29:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -4x+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:29:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-6 = -4x+6-6 strategic 1 OK clt 1-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:29:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -4x+6-6 strategic 1 OK clt -4x+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:29:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -4x strategic 1 BUG divide 4 In this equation, x is multiplied by -4. Dividing by 4 leaves -x, so you still need to remove the negative sign. It is better to divide by -4, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:29:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -4x strategic 2 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-4 = -4x/-4 strategic 1 OK rf -5/-4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/4 = -4x/-4 strategic 1 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+3y = 10 strategic 1 ERROR subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+3y = 10 strategic 2 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+3y-(-7) = 10-(-7) strategic 1 OK clt -7+3y-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = 10-(-7) strategic 1 OK clt 10-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:54.0 HINT HINT ES_02 ES_02-5 EG40 3y = 17 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:30:55.0 HINT HINT ES_02 ES_02-5 EG40 3y = 17 strategic 2 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:31:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = 17 strategic 3 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:31:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y/3 = 17/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:31:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 17/3 strategic 1 BUG rf y = 17/3 strategic You already solved the equation. y is 17/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:31:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -2y-4 strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:31:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-(-4) = -2y-4-(-4) strategic 1 ERROR rf -4-(-4) = -2y-4-(-4) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-(-4) = -2y-4-(-4) strategic 2 OK clt -2y-4-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-(-4) = -2y strategic 1 OK clt -4-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/-2 = -2y/-2 strategic 1 OK rf 0/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -2y/-2 strategic 1 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 3+9x strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:32:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3-3 = 3+9x-3 strategic 1 OK clt 3+9x-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:33:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3-3 = 9x strategic 1 OK clt 3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:33:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:33:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/9 = 9x/9 strategic 1 OK rf 0/9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:33:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 9x/9 strategic 1 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:33:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+9 = 3 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:33:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+9-9 = 3-9 strategic 1 OK clt 7x+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = 3-9 strategic 1 OK clt 3-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:15.0 HINT HINT ES_02 ES_02-5 EG40 7x = -6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:16.0 HINT HINT ES_02 ES_02-5 EG40 7x = -6 strategic 2 NEXT_HINT 7x is 7 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -6 strategic 3 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x/7 = -6/7 strategic 1 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -6/7 strategic 1 BUG rf x = -6/7 strategic You already solved the equation. x is -6/7. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:54.0 HINT HINT ES_02 ES_02-6 EG40 1 = -5x-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:34:55.0 HINT HINT ES_02 ES_02-6 EG40 1 = -5x-4 strategic 2 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:35:05.0 HINT HINT ES_02 ES_02-6 EG40 1 = -5x-4 strategic 3 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:35:06.0 HINT HINT ES_02 ES_02-6 EG40 1 = -5x-4 strategic 4 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:35:09.0 HINT HINT ES_02 ES_02-6 EG40 1 = -5x-4 strategic 5 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:35:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -5x-4 strategic 6 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:35:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:35:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 2 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:16.0 HINT HINT ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:19.0 HINT HINT ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 4 NEXT_HINT Type in -5x-4+4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 5 ERROR typein -5+4+40 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 6 ERROR typein -5+4+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:40.0 HINT HINT ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:41.0 HINT HINT ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 8 NEXT_HINT Type in -5x-4+4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 9 BUG typein -5+-4+4 You forgot the x. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:36:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+4 = -5x-4+4 strategic 10 OK typein -5x+-4+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:37:06.0 HINT HINT ES_02 ES_02-6 EG40 5 = -5x-4+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:37:07.0 HINT HINT ES_02 ES_02-6 EG40 5 = -5x-4+4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:37:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -5x-4+4 strategic 3 OK clt -5x-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:37:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -5x-4+4 strategic 4 OK clt -5x-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:38:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -5x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:38:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK -4+4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:38:33.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above, you have [-5x]+[-4+4]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:38:43.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT Above, you have [-5x]+[-4+4]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:38:45.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above, you have [-5x]+[-4+4]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:39:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -5x-4+4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:39:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -5x-4+4 strategic 5 OK clt -5x-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:39:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK -5x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:39:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK -4+4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:40:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -5x-4+4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:41:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -5x-4+4 strategic 6 ERROR add 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:42:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+0 = -5x-4+4+0 strategic 1 OK typein -5x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:42:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+0 = -5x-4+4+0 strategic 2 OK typein 5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:43:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = -5x strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:43:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-5 = -5x/-5 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:44:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-5 = -5x/-5 strategic 2 BUG typein 5 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:44:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/-5 = -5x/-5 strategic 3 OK typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:45:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-3x = -6 strategic 1 BUG add -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:45:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-3x = -6 strategic 2 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:45:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-3x+6 = -6+6 strategic 1 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:46:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-3x+6 = -6+6 strategic 2 BUG typein -3 You forgot the x. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:46:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-3x+6 = -6+6 strategic 3 OK typein -3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:46:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x = 0 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:46:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x/-3 = 0/-3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:46:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x/-3 = 0/-3 strategic 2 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:03.0 HINT HINT ES_02 ES_02-6 EG40 9x+2 = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:04.0 HINT HINT ES_02 ES_02-6 EG40 9x+2 = -5 strategic 2 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+2 = -5 strategic 3 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+2-2 = -5-2 strategic 1 BUG typein -3 -3 is equal to -5 plus 2. You need to calculate -5 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+2-2 = -5-2 strategic 2 ERROR typein 3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+2-2 = -5-2 strategic 3 BUG typein 3 3 is equal to 5 minus 2. You need to calculate -5 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:48:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+2-2 = -5-2 strategic 4 OK typein 9x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+2-2 = -5-2 strategic 5 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -7 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -7/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -7/9 strategic 2 BUG typein -63 -63 is equal to -7 times 9. You need to calculate -7 divided by 9. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -7/9 strategic 3 ERROR typein 63 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:56.0 HINT HINT ES_02 ES_02-6 EG40 9x/9 = -7/9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:49:58.0 HINT HINT ES_02 ES_02-6 EG40 9x/9 = -7/9 strategic 5 NEXT_HINT Type in -7/9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:50:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -7/9 strategic 6 OK typein -7/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:50:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = -6x+7 strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:50:44.0 HINT HINT ES_02 ES_02-6 EG40 8 = -6x+7 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:50:53.0 HINT HINT ES_02 ES_02-6 EG40 8 = -6x+7 strategic 3 NEXT_HINT 7 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:50:57.0 HINT HINT ES_02 ES_02-6 EG40 8 = -6x+7 strategic 4 NEXT_HINT You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:51:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = -6x+7 strategic 5 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:51:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-7 = -6x+7-7 strategic 1 OK typein -6x+7-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:51:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-7 = -6x+7-7 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:51:37.0 HINT HINT ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:51:38.0 HINT HINT ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:51:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 3 OK clt -6x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:52:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6x+7-7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:52:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 4 BUG divide 7 You want to isolate -6x by removing 7 from the right side. 7 is added to -6x. What is the opposite of addition? BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:52:37.0 HINT HINT ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 5 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:52:40.0 HINT HINT ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 6 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:52:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -6x+7-7 strategic 7 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:52:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 1 OK typein 1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:53:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 2 ERROR typein -6x+7-7/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:53:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 3 ERROR typein 7-7/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:53:51.0 HINT HINT ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:53:52.0 HINT HINT ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 5 NEXT_HINT Type in (-6x+7-7)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:54:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 6 ERROR typein -6x+7-7/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:54:22.0 HINT HINT ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:54:23.0 HINT HINT ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 8 NEXT_HINT Type in (-6x+7-7)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:54:36.0 HINT HINT ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 9 NEXT_HINT Divide by -6 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session35 2005-12-07 08:54:38.0 HINT HINT ES_02 ES_02-6 EG40 1/-6 = (-6x+7-7)/-6 strategic 10 NEXT_HINT Type in (-6x+7-7)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:00:14.0 HINT HINT ES_02 ES_02-6 EG40 0 = -3+5y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:00:15.0 HINT HINT ES_02 ES_02-6 EG40 0 = -3+5y strategic 2 NEXT_HINT -3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:00:46.0 HINT HINT ES_02 ES_02-6 EG40 0 = -3+5y strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:00:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -3+5y strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:06.0 HINT HINT ES_02 ES_02-6 EG40 0+3 = -3+5y+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:09.0 HINT HINT ES_02 ES_02-6 EG40 0+3 = -3+5y+3 strategic 2 NEXT_HINT Type in 0+3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0+3 = -3+5y+3 strategic 3 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0+3 = -3+5y+3 strategic 4 OK typein 5y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:44.0 HINT HINT ES_02 ES_02-6 EG40 3 = 5y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:45.0 HINT HINT ES_02 ES_02-6 EG40 3 = 5y strategic 2 NEXT_HINT 5y is 5 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:49.0 HINT HINT ES_02 ES_02-6 EG40 3 = 5y strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:01:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 5y strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/5 = 5y/5 strategic 1 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/5 = 5y/5 strategic 2 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/5 = 5y/5 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/5 = 5y/5 strategic 4 OK typein 3/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:30.0 HINT HINT ES_02 ES_02-6 EG40 9 = 2y+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:31.0 HINT HINT ES_02 ES_02-6 EG40 9 = 2y+8 strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 2y+8 strategic 3 BUG add 8 Since 8 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 8 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:43.0 HINT HINT ES_02 ES_02-6 EG40 9 = 2y+8 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:44.0 HINT HINT ES_02 ES_02-6 EG40 9 = 2y+8 strategic 5 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:47.0 HINT HINT ES_02 ES_02-6 EG40 9 = 2y+8 strategic 6 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 2y+8 strategic 7 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:02:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = 2y+8-8 strategic 1 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:03:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = 2y+8-8 strategic 2 OK typein 2y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:03:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:03:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/2 = 2y/2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:03:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/2 = 2y/2 strategic 2 OK typein 1/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:04:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 3x-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:04:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = 3x-6+6 strategic 1 OK typein 3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:04:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = 3x-6+6 strategic 2 OK typein 14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:04:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:04:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/3 = 3x/3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:04:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/3 = 3x/3 strategic 2 OK typein 14/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:13.0 HINT HINT ES_02 ES_02-7 EG41 5 = -2+(y/-4) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:14.0 HINT HINT ES_02 ES_02-7 EG41 5 = -2+(y/-4) strategic 2 NEXT_HINT -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:18.0 HINT HINT ES_02 ES_02-7 EG41 5 = -2+(y/-4) strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -2+(y/-4) strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:29.0 HINT HINT ES_02 ES_02-7 EG41 5+2 = -2+(y/-4)+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+2 = -2+(y/-4)+2 strategic 2 OK clt 5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = -2+(y/-4)+2 strategic 1 OK clt -2+(y/-4)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:55.0 HINT HINT ES_02 ES_02-7 EG41 7 = y/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:56.0 HINT HINT ES_02 ES_02-7 EG41 7 = y/-4 strategic 2 NEXT_HINT In y/-4, y is divided by -4. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:05:59.0 HINT HINT ES_02 ES_02-7 EG41 7 = y/-4 strategic 3 NEXT_HINT Multiply both sides by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = y/-4 strategic 4 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:10.0 HINT HINT ES_02 ES_02-7 EG41 7*-4 = y/-4*-4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:13.0 HINT HINT ES_02 ES_02-7 EG41 7*-4 = y/-4*-4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-4 = y/-4*-4 strategic 3 OK mt y/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-4 = y strategic 1 OK mt 7*-4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+x/3 = 5 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+x/3+6 = 5+6 strategic 1 OK clt -6+x/3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:06:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 5+6 strategic 1 OK clt 5+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:03.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 11 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:05.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 11 strategic 2 NEXT_HINT In x/3, x is divided by 3. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 11 strategic 3 ERROR mt x/3 = 11 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 11 strategic 4 BUG multiply 11 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:46.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 11 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:47.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 11 strategic 6 NEXT_HINT In x/3, x is divided by 3. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:51.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 11 strategic 7 NEXT_HINT Multiply both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:07:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 11 strategic 8 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:08:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 11*3 strategic 1 OK mt 11*3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:08:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 33 strategic 1 OK mt x/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:08:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -2+y/3 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:08:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+2 = -2+y/3+2 strategic 1 OK clt -8+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:08:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = -2+y/3+2 strategic 1 OK clt -2+y/3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/3 strategic 1 ERROR add 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:06.0 HINT HINT ES_02 ES_02-7 EG41 -6 = y/3 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:07.0 HINT HINT ES_02 ES_02-7 EG41 -6 = y/3 strategic 3 NEXT_HINT In y/3, y is divided by 3. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/3 strategic 4 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*3 = y/3*3 strategic 1 OK mt y/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*3 = y strategic 1 OK mt -6*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:41.0 HINT HINT ES_02 ES_02-7 EG41 9 = 6+x/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:43.0 HINT HINT ES_02 ES_02-7 EG41 9 = 6+x/7 strategic 2 NEXT_HINT 6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = 6+x/7 strategic 3 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-6 = 6+x/7-6 strategic 1 OK clt 9-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:09:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = 6+x/7-6 strategic 1 OK clt 6+x/7-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:10:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:10:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*7 = x/7*7 strategic 1 OK mt x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:10:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*7 = x strategic 1 OK mt 3*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:10:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = 9+(x/-9) strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:10:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2-9 = 9+(x/-9)-9 strategic 1 OK clt -2-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:10:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11 = 9+(x/-9)-9 strategic 1 OK clt 9+(x/-9)-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:03.0 HINT HINT ES_02 ES_02-7 EG41 -11 = x/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:07.0 HINT HINT ES_02 ES_02-7 EG41 -11 = x/-9 strategic 2 NEXT_HINT In x/-9, x is divided by -9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11 = x/-9 strategic 3 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*-9 = x/-9*-9 strategic 1 OK mt -11*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 99 = x/-9*-9 strategic 1 OK mt x/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+y/9 = 7 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+y/9+8 = 7+8 strategic 1 OK clt -8+y/9+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 7+8 strategic 1 OK clt 7+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:11:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 15 strategic 1 BUG multiply 15 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 15 strategic 2 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 15*9 strategic 1 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 15*9 strategic 1 OK mt 15*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = y/-5-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+5 = y/-5-5+5 strategic 1 OK clt 3+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-5-5+5 strategic 1 OK clt y/-5-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-5 strategic 1 BUG multiply 5 Multiplying by 5 will leave -y. It is better to multiply by -5, because that will leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:12:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-5 strategic 2 ERROR clt 8 = y/-5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:03.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/-5 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:04.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/-5 strategic 4 NEXT_HINT In y/-5, y is divided by -5. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-5 strategic 5 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-5 = y/-5*-5 strategic 1 OK mt 8*-5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -40 = y/-5*-5 strategic 1 OK mt y/-5*-5 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = y/-4-1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9+1 = y/-4-1+1 strategic 1 OK clt -9+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = y/-4-1+1 strategic 1 OK clt y/-4-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = y/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*-4 = y/-4*-4 strategic 1 OK mt -8*-4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:13:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 32 = y/-4*-4 strategic 1 OK mt y/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = 4+(x/-10) strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5-4 = 4+(x/-10)-4 strategic 1 OK clt 5-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = 4+(x/-10)-4 strategic 1 OK clt 4+(x/-10)-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/-10 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-10 = x/-10*-10 strategic 1 OK mt 1*-10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/-10*-10 strategic 1 OK mt x/-10*-10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -4+x/4 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+4 = -4+x/4+4 strategic 1 OK clt 3+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = -4+x/4+4 strategic 1 OK clt -4+x/4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*4 = x/4*4 strategic 1 OK mt 7*4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:14:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 28 = x/4*4 strategic 1 OK mt x/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:15:40.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4 = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:15:41.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4 = -9 strategic 2 NEXT_HINT -4 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:15:45.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4 = -9 strategic 3 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:15:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4 = -9 strategic 4 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:15:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 1 OK typein -9+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:16:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 2 BUG typein x/3-4+4 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:16:30.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:16:32.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 4 NEXT_HINT Type in x/-3-4+4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:16:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 5 ERROR typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:16:46.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:16:49.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 7 NEXT_HINT Type in x/-3-4+4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:17:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 8 OK typein x/-3-4+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:17:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 9 OK clt x/-3-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:17:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/-3-4+4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:17:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 BUG -9+4 -9+4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:17:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 BUG -9+4 -9+4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 3 BUG 5 5
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 BUG x/-3-4+4=-9+4 x/-3-4+4=-9+4
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 4 BUG 5 5
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:30.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 10 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:31.0 HINT HINT ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 11 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 12 OK clt x/-3-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:44.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 2 INITIAL_HINT From the original equation at the top, select x/-3 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:18:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 3 OK x/-3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:19:02.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 5 INITIAL_HINT From the original equation at the top, select -4 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:19:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 6 BUG -4 -4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:19:14.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT Before working on this answer, perhaps try working on the constant terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:19:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -9+4 strategic 13 OK clt -9+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:19:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:19:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:20:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-3-4+4 = -5 strategic 1 OK clt x/-3-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:20:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -x/3-4+4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:20:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/3-4+4 = -5 strategic 1 OK clt -x/3-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session36 2005-12-09 10:21:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 4 BUG - -
Perhaps you should fill in all the x terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:45:10.0 HINT HINT ES_02 ES_02-8 EG41 -8 = -1+(y/-9) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:45:12.0 HINT HINT ES_02 ES_02-8 EG41 -8 = -1+(y/-9) strategic 2 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:45:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -1+(y/-9) strategic 3 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:45:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+1 = -1+(y/-9)+1 strategic 1 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:46:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+1 = -1+(y/-9)+1 strategic 2 OK typein y/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:46:42.0 HINT HINT ES_02 ES_02-8 EG41 -7 = y/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:46:43.0 HINT HINT ES_02 ES_02-8 EG41 -7 = y/-9 strategic 2 NEXT_HINT In y/-9, y is divided by -9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:46:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/-9 strategic 3 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 1 ERROR typein -14 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 2 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 3 ERROR typein 14 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:24.0 HINT HINT ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:26.0 HINT HINT ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 5 NEXT_HINT Type in -7*-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 6 BUG typein 7*-9 You are multiplying a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:50.0 HINT HINT ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:53.0 HINT HINT ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 8 NEXT_HINT Type in -7*-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:47:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 9 OK typein -7*-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 10 OK typein y/-9*-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:48:42.0 HINT HINT ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 11 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:48:43.0 HINT HINT ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 12 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:48:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-9 = y/-9*-9 strategic 13 OK mt -7*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR -63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 63 = y/-9*-9 strategic 1 OK mt y/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:43.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 ERROR -9* default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:49:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 BUG -9 -9
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:50:03.0 HINT HINT ES_02 ES_02-8 EG41 63 = y/-9*-9 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:50:04.0 HINT HINT ES_02 ES_02-8 EG41 63 = y/-9*-9 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:50:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 63 = y/-9*-9 strategic 4 OK mt y/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:50:46.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 ERROR 9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 ERROR -y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:23.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 5 INITIAL_HINT -y You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 6 OK -9*1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK y*-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:51:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR -9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:52:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR y.-9--9*1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:52:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR -9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:52:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR -9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:52:55.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 8 INITIAL_HINT -9 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:53:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK y*-9/-9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:53:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 63 = y*-9/-9 strategic 1 ERROR mt 63 = y*-9/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:53:52.0 HINT HINT ES_02 ES_02-8 EG41 63 = y*-9/-9 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:53:53.0 HINT HINT ES_02 ES_02-8 EG41 63 = y*-9/-9 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:54:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 63 = y*-9/-9 strategic 4 OK rf y*-9/-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:54:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 63 = y*-9/-9 strategic 5 ERROR rds 63 = y*-9/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:54:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 63 = y*-9/-9 strategic 6 OK rf y*-9/-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:54:45.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:54:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 BUG y y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 BUG y y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 BUG -9 -9
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 BUG -9 -9
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 BUG -9 -9
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session37 2005-12-14 08:55:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 BUG -9 -9
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:16:48.0 HINT HINT ES_02 ES_02-8 EG41 0 = y/7+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:16:50.0 HINT HINT ES_02 ES_02-8 EG41 0 = y/7+9 strategic 2 NEXT_HINT 9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/7+9 strategic 3 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-9 = y/7+9-9 strategic 1 OK typein y/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-9 = y/7+9-9 strategic 2 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:27.0 HINT HINT ES_02 ES_02-8 EG41 -9 = y/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:28.0 HINT HINT ES_02 ES_02-8 EG41 -9 = y/7 strategic 2 NEXT_HINT In y/7, y is divided by 7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:33.0 HINT HINT ES_02 ES_02-8 EG41 -9 = y/7 strategic 3 NEXT_HINT Multiply both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:17:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = y/7 strategic 4 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:18:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*7 = y/7*7 strategic 1 OK typein -63 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:18:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*7 = y/7*7 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:19:43.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-4) = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:19:45.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-4) = -4 strategic 2 NEXT_HINT -10 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:19:48.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-4) = -4 strategic 3 NEXT_HINT You can add 10 to both sides of the equation to eliminate the constant value of -10 (-10 + 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:19:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-4) = -4 strategic 4 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:19:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-4)+10 = -4+10 strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:20:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-4)+10 = -4+10 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:20:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-4)+10 = -4+10 strategic 3 OK typein y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:20:45.0 HINT HINT ES_02 ES_02-8 EG41 y/-4 = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:20:46.0 HINT HINT ES_02 ES_02-8 EG41 y/-4 = 6 strategic 2 NEXT_HINT In y/-4, y is divided by -4. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:20:49.0 HINT HINT ES_02 ES_02-8 EG41 y/-4 = 6 strategic 3 NEXT_HINT Multiply both sides by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:20:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4 = 6 strategic 4 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:21:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 6*-4 strategic 1 OK typein -24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 6*-4 strategic 2 ERROR typein y/-16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 6*-4 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-1 = 1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-1+1 = 1+1 strategic 1 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-1+1 = 1+1 strategic 2 OK typein y/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3 = 2 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:23:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 2*3 strategic 1 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 2*3 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:20.0 HINT HINT ES_02 ES_02-9 EG44 -5/x = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:21.0 HINT HINT ES_02 ES_02-9 EG44 -5/x = 4 strategic 2 NEXT_HINT -5/x is -5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:25.0 HINT HINT ES_02 ES_02-9 EG44 -5/x = 4 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = 4 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:42.0 HINT HINT ES_02 ES_02-9 EG44 -5/x*x = 4x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:43.0 HINT HINT ES_02 ES_02-9 EG44 -5/x*x = 4x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x*x = 4x strategic 3 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:51.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:52.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4x strategic 2 NEXT_HINT 4x is 4 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:24:55.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4x strategic 3 NEXT_HINT Divide both sides by 4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 4x strategic 4 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/4 = 4x/4 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:23.0 HINT HINT ES_02 ES_02-9 EG44 -8 = 10/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:24.0 HINT HINT ES_02 ES_02-9 EG44 -8 = 10/y strategic 2 NEXT_HINT 10/y is 10 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:27.0 HINT HINT ES_02 ES_02-9 EG44 -8 = 10/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 10/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:38.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 10/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:39.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 10/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 10/y*y strategic 3 OK mt 10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:46.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 10 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:47.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 10 strategic 2 NEXT_HINT -8y is -8 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:50.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 10 strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:25:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 10 strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:26:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y/-8 = 10/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:26:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 10/-8 strategic 1 OK rf 10/-8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:26:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/y = -1 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:26:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/y*y = -1y strategic 1 OK mt -2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:26:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = -1y strategic 1 OK multiply -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:26:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2*-1 = -1y*-1 strategic 1 OK mt -2*-1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -1y*-1 strategic 1 OK mt -1y*-1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x = -3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x*x = -3x strategic 1 OK mt -3/x*x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -3x strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/-3 = -3x/-3 strategic 1 OK rf -3/-3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1 = -3x/-3 strategic 1 OK rf -3x/-3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -9 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y*y = -9y strategic 1 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:27:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -9y strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-9 = -9y/-9 strategic 1 OK rf 8/-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/9 = -9y/-9 strategic 1 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:24.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -3/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:25.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -3/y strategic 2 NEXT_HINT -3/y is -3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:29.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -3/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -3/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 1 ERROR typein -4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 2 ERROR typein 4-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 3 ERROR typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:53.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:28:54.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 5 NEXT_HINT Type in -2y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:29:07.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:29:08.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 7 NEXT_HINT Type in -2y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:29:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 8 OK typein -2y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:29:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -3/y*y strategic 9 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:30:19.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:30:20.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3 strategic 2 NEXT_HINT -2y is -2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:30:24.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -3 strategic 3 NEXT_HINT Divide both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:30:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -3 strategic 4 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:30:49.0 HINT HINT ES_02 ES_02-10 EG44 -2y/-2 = -3/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:30:51.0 HINT HINT ES_02 ES_02-10 EG44 -2y/-2 = -3/-2 strategic 2 NEXT_HINT Type in -2y/-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -3/-2 strategic 3 OK typein -2y/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -3/-2 strategic 4 OK typein -3/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -3/-2 strategic 5 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -3/-2 strategic 6 OK rf -3/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:45.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Above is the simplified form of the expression -3/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:47.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT Above is the simplified form of the expression -3/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:48.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression -3/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:31:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK 3/2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 3/2 strategic 1 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:05.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 BUG -2y -2y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 BUG y y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:33.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 BUG -2y -2y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 BUG -2y -2y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:32:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 BUG -2 -2
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG -2 -2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -2y/-2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:38.0 HINT HINT ES_02 ES_02-10 EG44 -2y/-2 = 3/2 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:40.0 HINT HINT ES_02 ES_02-10 EG44 -2y/-2 = 3/2 strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 3/2 strategic 4 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:33:56.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 BUG y y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 BUG y y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 BUG y y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 BUG -2 -2
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 3 BUG -2 -2
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 6 BUG y y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:34:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 4 BUG y y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 5 BUG -2y -2y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 3 BUG -2y -2y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 7 BUG -2y -2y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 BUG -2y -2y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 8 BUG -2y -2y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 9 BUG -2y -2y
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:35:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 3/2 strategic 5 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 4 OK y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:36:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 5 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:13.0 HINT HINT ES_02 ES_02-10 EG44 row1-N-constant factors strategic 6 INITIAL_HINT - This entry box represent the constant factor of the numerator. Find the constant factor in the numerator of the expression -2y/-2. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 6 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:26.0 HINT HINT ES_02 ES_02-10 EG44 row1-D-constant factors strategic 7 INITIAL_HINT - This entry box represent the constant factor of the denominator. Find the constant factor in the denominator of the expression -2y/-2. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 8 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 9 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:37:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 5 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:38:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 7 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 6 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 10 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 7 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 11 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:27.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 12 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:27.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 13 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:28.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 14 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:28.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 15 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:29.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 16 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:30.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 17 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:31.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 18 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:32.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 19 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:33.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 20 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:42.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 21 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:43.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 22 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:44.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 23 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:45.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 24 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:46.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 25 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:46.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 26 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:47.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 27 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:47.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 28 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:48.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 29 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:48.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 30 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:49.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 31 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:49.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 32 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:49.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 33 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:50.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 34 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:50.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 35 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:39:51.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 36 INITIAL_HINT -2 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 8 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 37 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 8 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 BUG -2*y -2*1 -2*y -2*1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 38 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 9 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:41:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 39 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:42:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 10 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:43:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:09.0 HINT HINT ES_02 ES_02-10 EG44 9 = 8/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:11.0 HINT HINT ES_02 ES_02-10 EG44 9 = 8/x strategic 2 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:14.0 HINT HINT ES_02 ES_02-10 EG44 9 = 8/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = 8/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 1 ERROR typein 81x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 2 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:42.0 HINT HINT ES_02 ES_02-10 EG44 9x = 8/x*x strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:45.0 HINT HINT ES_02 ES_02-10 EG44 9x = 8/x*x strategic 4 NEXT_HINT Type in 9x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:44:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 5 OK typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:02.0 HINT HINT ES_02 ES_02-10 EG44 9x = 8/x*x strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:03.0 HINT HINT ES_02 ES_02-10 EG44 9x = 8/x*x strategic 7 NEXT_HINT Type in 8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 8 OK typein 8/xx default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 9 OK mt 8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG 1 1
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:34.0 HINT HINT ES_02 ES_02-10 EG44 9x = 8/x*x strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:36.0 HINT HINT ES_02 ES_02-10 EG44 9x = 8/x*x strategic 11 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 12 OK mt 8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:45:57.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 INITIAL_HINT 1 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:46:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 5 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:46:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 4 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:46:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR 8x/1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:46:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:46:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR 1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:46:29.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT 1x Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:47:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR 8x/1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:47:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR 9/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:48:03.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 8 INITIAL_HINT 9/2 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:48:03.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT 9/2 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:48:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK 8x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:48:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8x/x strategic 1 BUG divide 9 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:48:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8x/x strategic 2 OK rf 8x/x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 OK 8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 2 ERROR typein .8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 3 ERROR typein 8.8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 4 BUG typein 8 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:57.0 HINT HINT ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:49:58.0 HINT HINT ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 6 NEXT_HINT Type in 8/9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:50:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 7 ERROR typein 8/98 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:50:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 8 OK typein 8/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:50:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = -10/x strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:50:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = -10/x strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:50:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -10/x*x strategic 1 OK typein -10/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:50:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -10/x*x strategic 2 OK typein -9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -10/x*x strategic 3 OK mt -10/x*x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:25.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 INITIAL_HINT 1 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 5 OK -10x default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:51:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -10 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:52:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x/-9 = -10/-9 strategic 1 OK typein -10/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:52:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x/-9 = -10/-9 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:52:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = 4/y strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:52:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = 4/y strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 4/y*y strategic 1 OK typein 4/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 4/y*y strategic 2 ERROR typein -4y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:15.0 HINT HINT ES_02 ES_02-10 EG44 -2y = 4/y*y strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:16.0 HINT HINT ES_02 ES_02-10 EG44 -2y = 4/y*y strategic 4 NEXT_HINT Type in -2y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 4/y*y strategic 5 OK typein -2y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 4/y*y strategic 6 OK mt 4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:53:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = 4 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:54:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 4/-2 strategic 1 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:54:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 4/-2 strategic 2 ERROR typein .5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:54:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 4/-2 strategic 3 OK typein 4/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:54:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 4/-2 strategic 4 OK typein -2y/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:55:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = 4/-2 strategic 5 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:55:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session38 2005-12-16 08:55:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = -6/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:17:39.0 HINT HINT ES_02 ES_02-10 EG44 7 = -10/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:17:41.0 HINT HINT ES_02 ES_02-10 EG44 7 = -10/y strategic 2 NEXT_HINT -10/y is -10 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:17:45.0 HINT HINT ES_02 ES_02-10 EG44 7 = -10/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:18:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = -10/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:18:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = -10/y*y strategic 1 OK typein 7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:18:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = -10/y*y strategic 2 OK typein -10/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:18:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = -10/y*y strategic 3 OK mt -10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:18:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -10 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:18:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG y y
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG y y
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:06.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 INITIAL_HINT 1 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 5 OK -10*y default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR -10y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR -10y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR -10y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:36.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 8 INITIAL_HINT -10y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:19:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 OK -10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:20:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = -10 strategic 1 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:20:12.0 HINT HINT ES_02 ES_02-10 EG44 7y = -10 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:20:13.0 HINT HINT ES_02 ES_02-10 EG44 7y = -10 strategic 3 NEXT_HINT 7y is 7 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:20:17.0 HINT HINT ES_02 ES_02-10 EG44 7y = -10 strategic 4 NEXT_HINT Divide both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:20:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = -10 strategic 5 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:20:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/7 = -10/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 589M2uPIY4 session39 2005-12-21 08:21:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/7 = -10/7 strategic 2 OK typein -10/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 5LMy832c47 session11 2005-10-13 14:12:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 ERROR tiem default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:12:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:12:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:12:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollares default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 BUG 30 30
You entered 30 in the wrong row. BUG default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:13:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:14:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session11 2005-10-13 14:15:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50x+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:53:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:53:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:53:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollares default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:53:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:54:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:54:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:54:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:54:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:54:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:54:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50x+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:55:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 25.50/192.75+90.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:55:52.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 BUG 25.50/192.75 25.50/192.75
Subtract 90.75 from 192.75, and then divide the result by 25.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:56:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 ERROR 25.50/192.75-90.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:56:34.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 INITIAL_HINT 25.50/192.75-90.75 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:56:38.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:56:43.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:56:46.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:57:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5x+90.75=192.75 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:57:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5X+90.75=192.75 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:57:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 192.75 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:58:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X+3.55882353 = 7.55882353 strategic 1 OK subtract 3.5588 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:58:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:58:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 25.5x+90.75=2385.75 25.5X+90.75=2385.75
Please check to make sure that 25.5X+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:59:14.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 2385.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:59:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:59:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:59:24.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 13:59:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 2385.75 strategic 2 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:00:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR x+3.55882353 = 93.55882353 strategic 1 OK subtract 3.5588 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:00:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 OK 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:00:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK carpet default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:00:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 BUG yards yards
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 2 OK square yards default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:01:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:02:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:02:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 OK 1036 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:02:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 2 OK 12.95X=388.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:02:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 1 OK 12.95x=388.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:02:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95X = 388.5 strategic 1 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:02:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:03:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 4 OK 12.95X=1036 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:03:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 3 OK 12.95x=1036 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:03:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95X = 1036 strategic 1 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:03:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:03:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C1 1 OK money default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:04:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:04:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:04:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 1 BUG points points
The quantity is measured in points, but you should use a more complete phrase. Try total number of travel points. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:04:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 2 OK total number of travel points default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:05:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 1 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:06:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 OK 40 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:07:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:07:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 2 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:07:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 3 OK 27.50*12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:07:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 BUG 27000 27000
You entered 27,000 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:07:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 2 BUG 27000 27000
You entered 27,000 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:07:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 ERROR 27500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:08:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 2 ERROR 27500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:08:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 3 OK 27000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:08:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 3 OK 46000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:08:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 2 OK 5000+5X=46000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:08:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 1 OK 5000+5x=46000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:10:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5000+5X = 46000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:10:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 9200 strategic 1 OK subtract 1000 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:10:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:10:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 4 OK 5000+5X=27000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:10:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 3 OK 5000+5x=27000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:10:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5000+5X = 27000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 5400 strategic 1 OK subtract 1000 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 1 OK area default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 1 ERROR cpst default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 2 OK cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 1 BUG feet feet
FEET is a measure of length, not area. Use square feet. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:11:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 2 OK square feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:12:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:13:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 1 OK 43.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:13:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 1 OK 1250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:13:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 1 ERROR 160 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 2 OK 160+95 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:13:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C2 1 OK 239250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:14:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C2 1 ERROR 12049 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:14:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C2 2 OK 12049.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:14:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 1 OK 43.5x=239250 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:14:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 2 OK 43.5X=239250 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:14:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5X = 239250 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:15:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 1 OK 5500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:15:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 3 OK 43.5x=12049.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:15:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 4 OK 43.5X=12049.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:15:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5X = 12049.5 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:15:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 1 OK 277 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:15:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:16:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R1C2 1 OK distance default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:16:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:16:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:16:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C2 1 ERROR miles default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:17:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C2 2 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:17:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R3C2 1 BUG 1500x-500 1500x-500
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:17:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R3C2 2 OK 1500x+500 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:17:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R4C1 1 OK 1.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:17:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R5C1 1 ERROR .17 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:18:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R5C1 2 OK .28 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:19:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R6C1 1 BUG 3500/2 3500/2
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:19:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R6C2 1 OK 1750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:19:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R7C2 1 OK 3500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:19:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 ValidEquations 1 OK 1500x+500=1750 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:19:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 ValidEquations 2 OK 1500X+500=1750 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:19:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 1500X+500 = 1750 strategic 1 OK divide 1500 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 X+1/3 = 7/6 strategic 1 ERROR rf X+1/3 = 7/6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 X+1/3 = 7/6 strategic 2 OK subtract .33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R6C1 2 OK 5/6 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 ValidEquations 3 OK 1500x+500=3500 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 ValidEquations 4 OK 1500X+500=3500 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 1500X+500 = 3500 strategic 1 OK divide 1500 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:20:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 X+1/3 = 7/3 strategic 1 BUG divide 1/3 You want to isolate X by removing 1/3 from the left side. 1/3 is added to X. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:21:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 X+1/3 = 7/3 strategic 2 OK subtract 1/3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session12 2005-10-14 14:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R7C1 1 OK 2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 1 OK students enrolled default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 1 OK students recieving an a or b default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 1 OK .20x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C1 1 OK 375 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 1 OK 145 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 1 ERROR 473 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 2 OK 47 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:53:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C2 1 OK 93 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 1 OK 0.2x=47 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 2 OK 0.2X=47 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2X = 47 strategic 1 OK divide .2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 OK 235 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 4 OK 0.2X=93 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 3 OK 0.2x=93 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2X = 93 strategic 1 OK divide .2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:54:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 OK 465 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK snow cones default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK profit default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 OK 1.50x-60 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:55:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:56:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 1 OK 1.5x-60=540 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:56:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 2 OK 1.5X-60=540 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:56:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5X-60 = 540 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:56:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X-40 = 360 strategic 1 OK add 40 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:56:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:57:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 3 OK 1.5X-60=283.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:57:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5X-60 = 283.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:57:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X-40 = 189 strategic 1 OK add 40 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:57:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:57:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 OK length default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C1 1 OK 5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C2 1 OK cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 1 OK 1.25x+2.5 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 1 OK 22.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:58:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C2 1 OK 57.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 1 OK 1.25x+2.5=22.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 2 OK 1.25X+2.5=22.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X+2.5 = 22.5 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 X+2 = 18 strategic 1 OK subtract 2 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 1 OK 16 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 3 OK 1.25x+2.5=57.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 13:59:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 4 OK 1.25X+2.5=57.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X+2.5 = 57.5 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 X+2 = 46 strategic 1 OK subtract 2 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 1 OK 44 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:00:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 BUG balance balance
Try balance on the next bill. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:01:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 2 OK balance on the next bill default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:01:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:01:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 ERROR .25x+7.87 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:01:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 2 BUG .23x+7.87 .23x+7.87
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:02:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 3 OK .23x-7.87 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:02:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 OK 38.13 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:02:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK 0.23x-7.87=38.13 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK 0.23X-7.87=38.13 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23X-7.87 = 38.13 strategic 1 OK divide .23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 X-34.2173913 = 165.7826087 strategic 1 OK add 34.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 3 OK 0.23X-7.87=25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:03:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23X-7.87 = 25 strategic 1 OK divide .23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 X-34.2173913 = 108.69565217 strategic 1 OK add 34.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 BUG cost cost
Be more specific. Can you say more about COST? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 2 OK cost of the items default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK cost of the order default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:04:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR 25+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 ERROR 25+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:23.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 INITIAL_HINT 25+.25x Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:25.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:29.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:34.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:38.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 NEXT_HINT Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:42.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 8 NEXT_HINT Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:05:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 9 OK .75x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 BUG 0.75x+25=231.2 0.75x+25=231.2
Please check to make sure that 0.75x+25=231.2 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 OK 0.75x+25=231.25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK 0.75X+25=231.25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:06:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X+25 = 231.25 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X+33.33333333 = 308.33333333 strategic 1 OK subtract 33.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 4 OK 0.75X+25=250 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X+25 = 250 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X+33.33333333 = 333.33333333 strategic 1 OK subtract 33.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:07:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 1 BUG hours hours
HOURS is a unit used to measure something in this problem. Try using a more descriptive phrase. What is measured in hours? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:08:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 1 OK temperature default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:08:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 2 OK hours from now default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:08:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:08:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:08:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:08:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 2 OK degrees celsius default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 1 OK -28-3.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R4C1 1 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R5C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 1 OK -84 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 1 BUG 0.28-3.5x=0 0.28-3.5x=0
Please check to make sure that 0.28-3.5x=0 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 2 OK -28-3.5x=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:09:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 3 OK -28-3.5X=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:10:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5X = 0 strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:10:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B 8+X = 0 strategic 1 OK subtract 8 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:10:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:10:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 4 OK -28-3.5X=-84 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:10:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5X = -84 strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:10:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B 8+X = 24 strategic 1 OK subtract 8 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C1 1 OK 16 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK depth default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 2 OK months default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:11:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:12:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 BUG 1225-12x 1225-12x
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:12:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 2 OK -1225-12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:13:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 OK 120 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:13:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 OK -36 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:14:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 BUG 1705 1705
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:14:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 OK -1705 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:14:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 1 BUG 0 0
Subtract the initial value, -1225, from the digging time first before you divide by -12. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1225-12x=-1705 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 OK -1225-12X=-1705 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = -1705 strategic 1 ERROR divide 12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = -1705 strategic 2 ERROR multiply 12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = -1705 strategic 3 ERROR add 12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = -1705 strategic 4 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12X = -480 strategic 1 BUG divide 12 In this equation, X is multiplied by -12. Dividing by 12 leaves -X, so you still need to remove the negative sign. It is better to divide by -12, since that would leave X. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12X = -480 strategic 2 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:15:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:16:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:16:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 3 OK -1225-12X=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:16:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12X = 0 strategic 1 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:16:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12X = 1225 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:16:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 2 ERROR .1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:18:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 3 BUG 1225 1225
Subtracting -1225 from 0 is OK, but then you need to divide by -12. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:18:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 4 BUG 1225/12 1225/12
Use parentheses. Type (0 - -1225)/ -12 as (0 - -1225)/ -12 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:18:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 5 OK 0-(-1225)/-12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:19:16.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:19:32.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:19:36.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:19:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:19:53.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR clt 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:19.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (0+6)*4 strategic 1 OK clt 0+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:25.0 CYCLE CYCLE ES_02 ES_02-1 EG30 6*4 strategic 1 OK mt 6*4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:32.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-3-8) strategic 1 OK clt -3-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:36.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*-11 strategic 1 OK mt -8*-11 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:44.0 CYCLE CYCLE ES_02 ES_02-1 EG29 5-8*7 strategic 1 OK mt 8*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:47.0 CYCLE CYCLE ES_02 ES_02-1 EG29 5-56 strategic 1 OK clt 5-56 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:20:58.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-2*-8 strategic 1 ERROR clt -6-2*-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:02.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-2*-8 strategic 2 OK mt 2*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:08.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-(-16) strategic 1 OK clt -6-(-16) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:16.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -9*4-5 strategic 1 OK mt -9*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -36-5 strategic 1 OK clt -36-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:34.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2+7*-1 strategic 1 OK mt 7*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:38.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2+(-7) strategic 1 OK clt -2+(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:46.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-7-7) strategic 1 OK clt -7-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:49.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*-14 strategic 1 OK mt -8*-14 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:21:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-7)*-4 strategic 1 OK clt -8-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session13 2005-10-19 14:22:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-7)*-4 strategic 2 OK clt -8-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:44:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2+3)*-3 strategic 1 OK clt -2+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:44:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 1*-3 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:44:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-3 strategic 1 OK mt 1*-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:44:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -3 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:45:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(0-7) strategic 1 OK clt 0-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:45:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -9*-7 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:45:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9*-7 strategic 1 OK mt -9*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:45:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 63 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:46:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-4*4 strategic 1 OK mt 4*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:46:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -2-16 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:46:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-16 strategic 1 OK clt -2-16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:46:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -18 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:47:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-10*-4 strategic 1 OK mt 10*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:47:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -3+40 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:47:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+40 strategic 1 OK clt -3+40 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:47:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 37 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(6+10) strategic 1 OK clt 6+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -5*16 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*16 strategic 1 OK mt -5*16 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 55 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 80 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -80 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:48:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+0*-5 strategic 1 ERROR clt -1+0*-5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:49:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+0*-5 strategic 2 OK mt 0*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:49:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -1 -1
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:50:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -1 -1
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+0*-5 strategic 3 OK mt 0*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 BUG -1 -1
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 BUG 0 0
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 BUG 0 0
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:52:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK -1+0 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:53:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+0 strategic 1 OK clt -1+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:53:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 OK -1 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:53:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7*-9-2 strategic 1 OK mt -7*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7*-9-2 strategic 2 OK mt -7*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 63-2 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 63-2 strategic 1 OK clt 63-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 61 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:40.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+3*-10 strategic 1 OK mt 3*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -1-30 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:55:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-30 strategic 1 OK clt -1-30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:56:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -31 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:56:23.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -36(29-13) = y strategic 1 OK clt 29-13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:56:29.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -36*16 = y strategic 1 OK mt -36*16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:56:40.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-9-3)*-6 = x strategic 1 OK clt -9-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:56:44.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -12*-6 = x strategic 1 OK mt -12*-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:56:57.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -17*23+49 strategic 1 ERROR clt x = -17*23+49 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:02.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -17*23+49 strategic 2 OK mt -17*23 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:07.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -391+49 strategic 1 OK clt -391+49 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:23.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -40-27*-49 strategic 1 OK mt 27*-49 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:26.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -40-(-1323) strategic 1 OK clt -40-(-1323) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:37.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -8+1*-5 strategic 1 OK mt 1*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:41.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -8+(-5) strategic 1 OK clt -8+(-5) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:50.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (43+22)*29 = x strategic 1 ERROR mt (43+22)*29 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (43+22)*29 = x strategic 2 OK clt 43+22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:57:58.0 CYCLE CYCLE ES_02 ES_02-3 EG34A 65*29 = x strategic 1 OK mt 65*29 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:58:12.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = -8(-9+6) strategic 1 OK clt -9+6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:58:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = -8*-3 strategic 1 OK mt -8*-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:59:28.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = 41*-19-4 strategic 1 ERROR clt y = 41*-19-4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:59:32.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = 41*-19-4 strategic 2 OK mt 41*-19 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:59:36.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -779-4 strategic 1 OK clt -779-4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:59:47.0 CYCLE CYCLE ES_02 ES_02-3 EG32B 2-24*22 = x strategic 1 OK mt 24*22 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:59:50.0 CYCLE CYCLE ES_02 ES_02-3 EG32B 2-528 = x strategic 1 OK clt 2-528 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 13:59:58.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (48-15)*-4 strategic 1 ERROR mt y = (48-15)*-4 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:01.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (48-15)*-4 strategic 2 OK clt 48-15 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:08.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = 33*-4 strategic 1 ERROR clt y = 33*-4 strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:12.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = 33*-4 strategic 2 OK mt 33*-4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:21.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 23(-14+36) = y strategic 1 OK clt -14+36 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 23*22 = y strategic 1 ERROR clt 23*22 = y strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:29.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 23*22 = y strategic 2 OK mt 23*22 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:42.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = (39-26)*-5 strategic 1 OK clt 39-26 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:44.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = 13*-5 strategic 1 OK mt 13*-5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:00:54.0 CYCLE CYCLE ES_02 ES_02-3 EG33A y = -40+20*-42 strategic 1 ERROR clt y = -40+20*-42 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:02.0 CYCLE CYCLE ES_02 ES_02-3 EG33A y = -40+20*-42 strategic 2 ERROR clt y = -40+20*-42 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:05.0 CYCLE CYCLE ES_02 ES_02-3 EG33A y = -40+20*-42 strategic 3 OK mt 20*-42 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:09.0 CYCLE CYCLE ES_02 ES_02-3 EG33A y = -40+(-840) strategic 1 OK clt -40+(-840) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:21.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = 33-9*38 strategic 1 OK mt 9*38 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:27.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = 33-342 strategic 1 OK clt 33-342 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:38.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -6-8*-4 strategic 1 OK mt 8*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:41.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -6-(-32) strategic 1 OK clt -6-(-32) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:01:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-26-12)*-3 = y strategic 1 OK clt -26-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:02:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -38*-3 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:02:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -38*-3 = y strategic 1 OK mt -38*-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:02:36.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 114 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:02:47.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -30(23+4) strategic 1 OK clt 23+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:02:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -30(27) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:03:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -30*27 strategic 1 ERROR clt y = -30*27 strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:03:10.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -30*27 strategic 2 OK mt -30*27 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:03:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -810 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:03:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -26(-48-45) strategic 1 OK clt -48-45 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:03:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 ERROR -26* default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:04:06.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -26*-93 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:04:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -26*-93 strategic 1 OK mt -26*-93 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:04:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK 2418 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:04:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+7y = 3 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+7y+4 = 3+4 strategic 1 OK clt -4+7y+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 3+4 strategic 1 OK clt 3+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 7 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y/7 = 7/7 strategic 1 ERROR clt 7y/7 = 7/7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y/7 = 7/7 strategic 2 OK rf 7y/7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 7/7 strategic 1 OK rf 7/7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = -2+7x strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+2 = -2+7x+2 strategic 1 OK clt -2+7x+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:05:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+2 = 7x strategic 1 OK clt 9+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:06:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:06:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11/7 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:06:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 2+8y strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:06:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-2 = 2+8y-2 strategic 1 OK clt 2+8y-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:06:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-2 = 8y strategic 1 OK clt 0-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:06:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 8y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:07:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/8 = 8y/8 strategic 1 OK rf 8y/8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:07:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/8 = y strategic 1 OK rf -2/8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:07:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y+6 = -3 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:07:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y+6-6 = -3-6 strategic 1 OK typein 2y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:08:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y+6-6 = -3-6 strategic 2 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:08:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y = -9 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:08:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y/2 = -9/2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:08:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y/2 = -9/2 strategic 2 OK typein -9/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+7y = -8 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+7y+7 = -8+7 strategic 1 OK typein 7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+7y+7 = -8+7 strategic 2 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y = -1 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y/7 = -1/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y/7 = -1/7 strategic 2 OK typein -1/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -3+4y strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+3 = -3+4y+3 strategic 1 OK typein 4y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:09:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+3 = -3+4y+3 strategic 2 OK typein -3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:11:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 4y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:11:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/4 = 4y/4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:11:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/4 = 4y/4 strategic 2 OK typein -3/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:11:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8+9 = 5 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8+9-9 = 5-9 strategic 1 OK clt x/-8+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 5-9 strategic 1 OK clt 5-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = -4 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = -4*-8 strategic 1 ERROR clt x/-8*-8 = -4*-8 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = -4*-8 strategic 2 ERROR rf x/-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = -4*-8 strategic 3 OK mt x/-8*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:12:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -4*-8 strategic 1 OK mt -4*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = y/-7+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-6 = y/-7+6-6 strategic 1 OK clt y/-7+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-6 = y/-7 strategic 1 OK clt 2-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = y/-7 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-7 = y/-7*-7 strategic 1 ERROR clt -4*-7 = y/-7*-7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-7 = y/-7*-7 strategic 2 OK mt y/-7*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-7 = y strategic 1 OK mt -4*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:13:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/-8+10 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-10 = y/-8+10-10 strategic 1 OK clt y/-8+10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-10 = y/-8 strategic 1 OK clt 4-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*-8 = y/-8*-8 strategic 1 OK mt y/-8*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*-8 = y strategic 1 OK mt -6*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -5+y/7 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+5 = -5+y/7+5 strategic 1 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:14:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+5 = -5+y/7+5 strategic 2 OK typein y/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = y/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*7 = y/7*7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*7 = y/7*7 strategic 2 OK typein 35 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -1+(y/-5) strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+1 = -1+(y/-5)+1 strategic 1 OK typein y/-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+1 = -1+(y/-5)+1 strategic 2 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = y/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:15:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*-5 = y/-5*-5 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:16:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*-5 = y/-5*-5 strategic 2 OK typein -35 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:16:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/-6-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+7 = x/-6-7+7 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+7 = x/-6-7+7 strategic 2 OK typein x/-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = x/-6 strategic 1 BUG multiply 6 Multiplying by 6 will leave -x. It is better to multiply by -6, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = x/-6 strategic 2 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*-6 = x/-6*-6 strategic 1 BUG typein 18 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*-6 = x/-6*-6 strategic 2 OK typein -18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:17:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*-6 = x/-6*-6 strategic 3 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:21:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = -2+(y/-9) strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:21:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+2 = -2+(y/-9)+2 strategic 1 OK typein y/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session14 2005-10-21 14:21:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+2 = -2+(y/-9)+2 strategic 2 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:45:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5+2 = 7 strategic 1 ERROR multiply 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:45:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5+2 = 7 strategic 2 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:45:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5+2-2 = 7-2 strategic 1 OK typein y/-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:45:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5+2-2 = 7-2 strategic 2 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:45:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 5 strategic 1 BUG multiply 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:05.0 HINT HINT ES_02 ES_02-8 EG41 y/-5*5 = 5*5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:09.0 HINT HINT ES_02 ES_02-8 EG41 y/-5*5 = 5*5 strategic 2 NEXT_HINT Type in y/-5*5 on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:18.0 HINT HINT ES_02 ES_02-8 EG41 y/-5 = 5 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:19.0 HINT HINT ES_02 ES_02-8 EG41 y/-5 = 5 strategic 3 NEXT_HINT In y/-5, y is divided by -5. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:23.0 HINT HINT ES_02 ES_02-8 EG41 y/-5 = 5 strategic 4 NEXT_HINT Multiply both sides by -5. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 5 strategic 5 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*-5 = 5*-5 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*-5 = 5*-5 strategic 2 OK typein 5*-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 5 strategic 6 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:46:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*-5 = 5*-5 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:47:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*-5 = 5*-5 strategic 4 OK typein -25 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:47:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = x/-2+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:47:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = x/-2+1-1 strategic 1 OK typein x/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:47:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = x/-2+1-1 strategic 2 BUG typein -7 -7 is equal to -8 plus 1. You need to calculate -8 minus 1. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:48:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = x/-2+1-1 strategic 3 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:48:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = x/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:48:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*-2 = x/-2*-2 strategic 1 OK typein 18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:48:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*-2 = x/-2*-2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:51:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = -1+(y/-9) strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:51:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+1 = -1+(y/-9)+1 strategic 1 OK typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:51:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+1 = -1+(y/-9)+1 strategic 2 OK typein y/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:51:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = y/-9 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:51:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-9 = y/-9*-9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:51:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-9 = y/-9*-9 strategic 2 OK typein 45 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:55:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x = -6 strategic 1 ERROR divide 6 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:55:51.0 HINT HINT ES_02 ES_02-9 EG44 6/x = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:55:53.0 HINT HINT ES_02 ES_02-9 EG44 6/x = -6 strategic 3 NEXT_HINT 6/x is 6 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:55:57.0 HINT HINT ES_02 ES_02-9 EG44 6/x = -6 strategic 4 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:56:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x = -6 strategic 5 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:59:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x*x = -6x strategic 1 OK mt 6/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:59:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -6x strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:59:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/-6 = -6x/-6 strategic 1 OK rf 6/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 13:59:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -6x/-6 strategic 1 OK rf -6x/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:01:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 5/y strategic 1 BUG multiply 5 To remove the coefficient of 5/y, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:01:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 5/y strategic 2 ERROR divide 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:19.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5/y strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:20.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5/y strategic 4 NEXT_HINT 5/y is 5 divided by y. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:24.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5/y strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 5/y strategic 6 BUG multiply 5 To remove the coefficient of 5/y, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:34.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5/y strategic 7 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:36.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5/y strategic 8 NEXT_HINT 5/y is 5 divided by y. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:39.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5/y strategic 9 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:03:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 5/y strategic 10 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:04:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y = 5/y*y strategic 1 ERROR rf -2y = 5/y*y strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:04:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y = 5/y*y strategic 2 OK mt 5/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y = 5 strategic 1 BUG divide 2 In this equation, y is multiplied by -2. Dividing by 2 leaves -y, so you still need to remove the negative sign. It is better to divide by -2, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:05.0 HINT HINT ES_02 ES_02-9 EG44 -2y = 5 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:07.0 HINT HINT ES_02 ES_02-9 EG44 -2y = 5 strategic 3 NEXT_HINT -2y is -2 times y. How do you undo multiplication? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:11.0 HINT HINT ES_02 ES_02-9 EG44 -2y = 5 strategic 4 NEXT_HINT Divide both sides by -2. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y = 5 strategic 5 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y/-2 = 5/-2 strategic 1 OK rf 5/-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:05:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y/-2 = -5/2 strategic 1 OK rf -2y/-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:09:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x = -3 strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:09:50.0 HINT HINT ES_02 ES_02-9 EG44 -6/x = -3 strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:09:51.0 HINT HINT ES_02 ES_02-9 EG44 -6/x = -3 strategic 3 NEXT_HINT -6/x is -6 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:09:56.0 HINT HINT ES_02 ES_02-9 EG44 -6/x = -3 strategic 4 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:10:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x = -3 strategic 5 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:10:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x*x = -3x strategic 1 OK mt -6/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:10:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -3x strategic 1 ERROR mt -6 = -3x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:10:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -3x strategic 2 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:10:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/-3 = -3x/-3 strategic 1 OK rf -3x/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:10:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/-3 = x strategic 1 OK rf -6/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:11:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -1 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:12:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x*x = -1x strategic 1 OK mt 3/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:12:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -1x strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:12:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/-1 = -1x/-1 strategic 1 OK rf -1x/-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:12:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/-1 = x strategic 1 OK rf 3/-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:13:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -6/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:13:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = -6/x*x strategic 1 OK mt -6/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:13:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = -6 strategic 1 ERROR mt 5x = -6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:13:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = -6 strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:13:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x/5 = -6/5 strategic 1 OK rf 5x/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:14:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = 7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:14:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = 7/x*x strategic 1 OK mt 7/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:14:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = 7 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:14:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x/5 = 7/5 strategic 1 OK rf 5x/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:14:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = 6/x strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:14:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = 6/x strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = 6/x*x strategic 1 OK typein -10x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = 6/x*x strategic 2 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = 6/x*x strategic 3 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = 6 strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x/-10 = 6/-10 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x/-10 = 6/-10 strategic 2 OK typein 6/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:15:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = -3/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 1 ERROR typein -5x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 2 OK typein -5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 3 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 2 BUG typein -3/5 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:51.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:16:55.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 4 NEXT_HINT Type in -3/-5 on the right. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 5 OK typein -3/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = 9/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = 9/x*x strategic 1 OK typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = 9/x*x strategic 2 OK typein -8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = 9 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = 9/-8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:17:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = 9/-8 strategic 2 OK typein 9/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:18:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x = 7 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:18:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = 7x strategic 1 ERROR typein 5x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:18:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = 7x strategic 2 OK typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:18:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = 7x strategic 3 OK typein 7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:19:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:19:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/7 = 7x/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:19:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/7 = 7x/7 strategic 2 OK typein 5/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:19:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 8/x strategic 1 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 8/x strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = 8x strategic 1 OK typein 8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = 8x strategic 2 ERROR typein 8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = 8x strategic 3 OK typein 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/8 = 8x/8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:20:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/8 = 8x/8 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 4x strategic 1 ERROR typein -9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 4x strategic 2 OK typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 4x strategic 3 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = 4x strategic 1 ERROR divide 43 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = 4x strategic 2 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/4 = 4x/4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session15 2005-10-26 14:21:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/4 = 4x/4 strategic 2 OK typein -9/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:42:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x = -3 strategic 1 BUG multiply 5 To remove the coefficient of 5/x, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:42:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x = -3 strategic 2 ERROR divide 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:42:56.0 HINT HINT ES_02 ES_02-10 EG44 5/x = -3 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:42:57.0 HINT HINT ES_02 ES_02-10 EG44 5/x = -3 strategic 4 NEXT_HINT 5/x is 5 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:01.0 HINT HINT ES_02 ES_02-10 EG44 5/x = -3 strategic 5 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x = -3 strategic 6 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = -3x strategic 1 OK typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = -3x strategic 2 OK typein -3x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = -3x strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/-3 = -3x/-3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:43:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/-3 = -3x/-3 strategic 2 OK typein 5/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:44:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = -6/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:44:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x = -6/x*x strategic 1 OK typein -4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:44:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x = -6/x*x strategic 2 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:44:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x = -6 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:44:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x/-4 = -6/-4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 5LMy832c47 session16 2005-10-28 13:45:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x/-4 = -6/-4 strategic 2 OK typein -6/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:54:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK spent taking scuba lessons default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:55:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:55:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:55:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hour default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:55:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 ERROR 90.75+25.580x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 ERROR 90.75+25.580*xx default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 ERROR 90.75+25.580*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:39.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 4 INITIAL_HINT 90.75+25.580*x Enter an expression to calculate total cost of scuba lessons using time spent taking lessons. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 5 NEXT_HINT First consider the initial value of total cost of scuba lessons. Next consider how total cost of scuba lessons will change for each hour. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:45.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of total cost of scuba lessons plus the change in total cost of scuba lessons for each hour times time spent taking lessons. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:52.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 7 NEXT_HINT Write an expression that means the same thing as 90.75 dollars plus 25.5 times time spent taking lessons. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:56:59.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 8 NEXT_HINT Enter 90.75 plus 25.5X HINT 5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:57:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 9 OK 90.75+25.5*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:57:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:57:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:58:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:58:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 13:59:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 90.75-25.5/192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:01:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 BUG 192.75-90.75 192.75-90.75
Subtracting 90.75 from 192.75 is OK, but then you need to divide by 25.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:02:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:03:36.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:05:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG 90.75+25.5x=4 90.75+25.5x=4
Please check to make sure that 90.75+25.5x=4 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:05:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5x = 4 strategic 1 OK divide 25.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:06:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 3.55882353+x = 0.15686275 strategic 1 ERROR mt 3.55882353+x = 0.15686275 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:06:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 3.55882353+x = 0.15686275 strategic 2 ERROR distribute 3.55882353+x = 0.15686275 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:06:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 3.55882353+x = 0.15686275 strategic 3 ERROR clt 3.55882353+x = 0.15686275 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:06:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 BUG 90.75+25.5x=4 90.75+25.5x=4
Please check to make sure that 90.75+25.5x=4 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:08:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C1 1 OK amount of carpet default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:08:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C2 1 OK total cos default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:08:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:08:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C1 1 BUG dollars dollars
You entered DOLLARS in the wrong column. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:09:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C1 2 BUG per square yard per square yard
The word per means "for each." Instead of entering PER SQUARE YARD, just enter square yard. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:09:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C1 3 OK square yard default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:09:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:09:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C2 1 OK 11.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:09:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R4C1 1 OK 11 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:09:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 1 ERROR 20.53. default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:10:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 2 ERROR 20.5. default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:10:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 3 OK 20.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:10:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C2 1 OK 478.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:10:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R7C2 1 OK 717.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:11:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 1 ERROR 478.00-11.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:11:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 2 OK 478.00/11.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:11:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R7C1 1 OK 717.00/11.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:12:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK amount of money spent on long distance default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:12:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:12:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:12:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:13:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 BUG 1*5x 1*5x
Total number of travel points increases by 5 each dollar, but remember that it starts at 5000 points. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:13:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 2 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:14:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:14:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:14:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 ERROR 270.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:14:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 3 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C2 1 OK 46000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 ERROR 2700 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 4 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 2 OK 27000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 5 ERROR 207.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 6 INITIAL_HINT 207.50 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 7 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:15:59.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 8 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:16:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 9 OK 330 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:16:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 ERROR 5000-5/46000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session18 2005-11-04 14:19:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 2 ERROR 5000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:54:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK amount of money spent on long distance default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:55:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:55:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 BUG 55.00 55.00
You entered 55.00 in the wrong row. BUG default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:55:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 ERROR 55.00 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:55:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 2 BUG 5000 5000
Total number of travel points starts at 5000. How does it increase as X increases? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:56:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C1 2 INITIAL_HINT 55.00 Define a variable for the amount spent on long distance. HINT 1 default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:56:12.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C1 3 NEXT_HINT To define a variable, enter a single letter to represent the amount spent on long distance. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:56:16.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C1 4 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the amount spent on long distance. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:56:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 3 BUG x x
You entered X in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:56:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 5 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:56:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 4 ERROR 5000x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 5 ERROR 5000*5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:13.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 6 INITIAL_HINT 5000*5x Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:15.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 7 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:19.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 8 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 9 NEXT_HINT Write an expression that means the same thing as 5000 plus 5 times the amount spent on long distance. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:33.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 10 NEXT_HINT Enter 5X + 5000 HINT 5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 11 OK 5x+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:57:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:58:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:58:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:58:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C2 1 ERROR 5*28.00+50000 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 13:59:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 3 OK 27.50*12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:00:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C2 1 OK 46000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:00:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 OK 27000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:02:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 ERROR 5000-4600/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:03:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 1 OK 46000=5x+5000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:03:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 2 OK 46000=5X+5000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:03:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 1 ERROR clt 46000 = 5X+5000 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:04:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 2 ERROR subtract 5x+5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:04:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 3 BUG subtract 46000 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:04:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 4 ERROR divide 5x default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:04:49.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:04:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 6 NEXT_HINT 5000 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:04:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 7 NEXT_HINT You can subtract 5000 from both sides of the equation to eliminate the constant value of 5000 (5000 - 5000 = 0). HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:05:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 46000 = 5X+5000 strategic 8 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:05:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 41000 = 5X strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:05:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 2 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:06:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 3 OK 27000=5X+5000 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:06:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 27000 = 5X+5000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:06:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 22000 = 5X strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session19 2005-11-11 14:06:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 OK area of construction default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:41:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 OK cost of construction default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:42:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 ERROR square footage default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:42:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 2 OK square foot default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:42:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:43:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:43:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 OK 155+90 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 OK 321,750.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:44:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 OK 42,916.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK 49.50*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:45:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 OK 321,750.00/49.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 42,916.50/49.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:45:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:46:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance the jet has flown default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:46:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:46:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 ERROR x default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:47:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 2 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:47:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 2 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:47:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 3 OK hour default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:48:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 3.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:48:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 BUG 1300+775*x 1300+775*x
Think about what changes and what doesn't. How much does the total distance it has flown change for each hour of the time? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:49:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 2 BUG 1300*x-775 1300*x-775
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 3 OK 1300*x+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:51:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 1300*.75+775 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:51:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 ERROR .75 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:52:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 3 BUG 1300*1.75+775 1300*1.75+775
You entered 3,050 in the wrong column. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:53:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 2 OK 3050 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:53:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 4 OK 1.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 BUG 30 30
30 is the the time in minutes, but we want to use hours. How many hours are in 30 minutes? BUG default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:53:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 2 ERROR 0 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:53:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 3 BUG 30 30
30 is the the time in minutes, but we want to use hours. How many hours are in 30 minutes? BUG default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 4 ERROR 2 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 5 INITIAL_HINT 2 Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 6 NEXT_HINT You know that the time is 30 minutes. Convert 30 minutes to hours. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 7 NEXT_HINT There are 60 minutes in a hour. What is 30 minutes in hours? HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 8 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 30 minutes is 0.5 hours. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 9 ERROR 0.58 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 10 OK 0.5 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:55:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 3500/2 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:55:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:55:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 ERROR 1300/1750-775 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:57:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 BUG 1300x=1750 1300x=1750
Please check to make sure that 1300x=1750 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:57:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300x = 1750 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:57:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 2 BUG 35/26 35/26
Subtract the initial value, 775, from the time first before you divide by 1300. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:58:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 3 BUG 35/26 35/26
Subtract the initial value, 775, from the time first before you divide by 1300. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:58:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 4 ERROR 775-1750/1300 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:59:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300x = 1750 strategic 2 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 13:59:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C x = 35/26 strategic 1 BUG clt x = 35/26 strategic You already solved the equation. x is 35/26. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:01:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 5 BUG 35/26 35/26
Subtract the initial value, 775, from the time first before you divide by 1300. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 OK 1300x+775=1750 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 3 OK 1300X+775=1750 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X+775 = 1750 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/26 strategic 1 ERROR rf X+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/26 strategic 2 ERROR clt X+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/26 strategic 3 ERROR mt X+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/26 strategic 4 ERROR rds X+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:02:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/26 strategic 5 ERROR distribute X+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:03:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/26 strategic 6 OK subtract 31/52 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:03:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 6 OK 3/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:03:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 4 BUG 1300X+775=13500 1300X+775=13500
Please check to make sure that 1300X+775=13500 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:03:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 5 BUG 1300X+775=3500 1300x+775=3500
Please check to make sure that 1300x+775=3500 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:04:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300x+775 = 3500 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:04:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/13 strategic 1 ERROR distribute X+31/52 = 35/13 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:04:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/13 strategic 2 ERROR rf X+31/52 = 35/13 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:04:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X+31/52 = 35/13 strategic 3 OK subtract 31/52 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:04:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 OK 109/52 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:05:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R1C1 1 OK gross pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:05:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R1C2 1 OK take-home pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:05:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:05:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:06:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:06:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C2 1 ERROR x*68% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:06:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C2 2 OK .68x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:06:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R4C1 1 OK 4000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:06:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R5C1 1 OK 35000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:07:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C2 1 OK 3468 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:07:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R7C2 1 OK 1513.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:08:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C1 1 OK 3468/0.68 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:08:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R7C1 1 OK 1513/0.68 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 OK students enrolled default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 BUG got an A or Bin Algebra last year got an A or Bin Algebra last year
Although Algebra is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 2 BUG got an A or B last year got an A or B last year
Although year is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 3 ERROR got an A or B default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 4 INITIAL_HINT got an A or B One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 5 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:09:51.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 6 NEXT_HINT Try typing in the phrase "the number of students earning an A or B in Algebra". HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:10:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 7 OK the number of students default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:10:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:10:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 OK 0.12x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:10:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 BUG 0.12*175 0.12*175
You entered 21 in the wrong column. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:10:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C2 1 OK 21 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:11:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 2 OK 175 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:11:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:11:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C2 1 OK 12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:11:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C2 1 OK 75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:11:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 1 OK 0.12x=12 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:11:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 2 OK 0.12X=12 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12X = 12 strategic 1 OK divide 0.12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 OK 100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 3 OK 0.12X=75 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12X = 75 strategic 1 OK divide 0.12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 OK 625 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C1 1 OK number of people default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C2 1 OK cost of cake default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:12:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:13:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:13:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 1 OK 1.45*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:13:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:13:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R5C1 1 OK 120 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C2 1 OK 29 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:13:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C2 1 OK 108.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A ValidEquations 1 OK 1.45x=29 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A ValidEquations 2 OK 1.45X=29 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A 1.45X = 29 strategic 1 OK divide 1.45 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A ValidEquations 3 OK 1.45X=108.75 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A 1.45X = 108.75 strategic 1 OK divide 1.45 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:14:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C1 1 OK 75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:15:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C1 1 OK number of snow cones default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:15:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C2 1 BUG rule for the profit rule for the profit
Don't worry about an expression yet. Here, you can just enter the profit. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:16:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C2 2 OK the profit default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:16:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:16:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:16:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 1 ERROR 0.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:16:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 2 ERROR 100 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:16:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 3 BUG 0.75x 0.75x
The profit increases by 0.75 each snow cone, but remember that it starts at -100 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:17:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 4 OK -100+.75x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:17:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:17:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R5C1 1 OK 200 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:17:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R6C2 1 OK 350 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:17:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R7C2 1 OK 475.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:18:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 2 OK -100+0.75X=350 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:18:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 1 OK -100+0.75x=350 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:18:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 350 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:18:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -133.33333333+X = 466.66666667 strategic 1 OK add +133.3333 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:19:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R6C1 1 OK 600 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:19:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 3 OK -100+0.75X=475.25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:19:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 475.25 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:19:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -133.33333333+X = 633.66666667 strategic 1 OK add 133.3333 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:19:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R7C1 1 OK 767 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:20:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C1 1 OK lenght of mobile telephone call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:20:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 1 OK total cost of the cell default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:20:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:20:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C2 1 ERROR x default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:21:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 1 ERROR x3 default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:21:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 2 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session20 2005-11-16 14:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:42:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C1 1 OK lenght of moble telephone call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:42:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 1 BUG time time
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TIME? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:42:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 1 OK rule for the total cost of the call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:43:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:44:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 2 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:44:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:44:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C2 1 OK 2.00+1.50*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:44:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 1 OK 8 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R5C1 1 OK 2 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:45:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C2 1 OK 20.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C2 1 OK 54.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:46:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 1 OK 2+1.5x=20 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:46:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 2 OK 2+1.5X=20 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:46:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 2+1.5X = 20 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:46:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.33333333+X = 13.33333333 strategic 1 OK subtract 1.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:46:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C1 1 OK 12 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:46:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 3 OK 2+1.5X=54.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:47:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 2+1.5X = 54.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.33333333+X = 36.33333333 strategic 1 OK subtract 1.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:47:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C1 1 OK 35 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:47:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:48:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of the order default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:48:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:48:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR 25.00/.25*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:48:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 ERROR 25.00/25%*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:50:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 ERROR 25.00-25%*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:50:17.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 INITIAL_HINT 25.00-25%*x Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:50:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 ERROR 25.00+25%*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 ERROR 25.00+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 ERROR 25.00+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:14.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 8 INITIAL_HINT 25.00+.25x Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:16.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 9 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 10 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:23.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 11 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:27.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 12 NEXT_HINT Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:31.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 13 NEXT_HINT Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:51:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 14 OK 0.75x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:52:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:52:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:53:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 OK 0.75x+25=231.25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 OK 0.75X+25=231.25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X+25 = 231.25 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X+33.33333333 = 308.33333333 strategic 1 OK subtract 33.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK 0.75X+25=250 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X+25 = 250 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X+33.33333333 = 333.33333333 strategic 1 OK subtract 33.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:55:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:56:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK cellular phone time used next month default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:56:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 BUG month month
MONTH is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:56:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 OK balence on the next bill default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:57:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:57:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 2 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:57:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:57:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 BUG 7.87+0.23x 7.87+0.23x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:59:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 2 ERROR 7.87-0.23x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:59:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 3 BUG 7.87+0.23x 7.87+0.23x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 13:59:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 4 OK -7.87+0.23x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:00:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:00:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:00:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 OK 38.13 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:00:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25.00 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:01:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK -7.87+0.23x=38.13 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:01:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK -7.87+0.23X=38.13 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:01:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23X = 38.13 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:01:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -34.2173913+X = 165.7826087 strategic 1 ERROR subtract -13.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:02:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -34.2173913+X = 165.7826087 strategic 2 BUG subtract 34.2174 Since -34.2174 is negative, you should add to remove it from the left side. Erase your last step and add 34.2174 to both sides. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:02:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -34.2173913+X = 165.7826087 strategic 3 OK add 34.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:02:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:02:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 3 OK -7.87+0.23X=25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:02:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23X = 25 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:03:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -34.2173913+X = 108.69565217 strategic 1 OK add 34.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:03:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:03:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK number of hours from now default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK temperatyure of the liquid default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:04:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:04:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 ERROR x default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:05:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:05:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 2 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:05:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 2 BUG temperature TEMPERATURE
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TEMPERATURE? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:06:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 3 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:06:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 4 OK Celsius default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:07:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 BUG -36+4.5x -36+4.5x
Does the temperature of the liquid go up or down when the number of hours from now increases? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:07:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 2 OK -36+-4.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:08:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 ERROR -36 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:09:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 2 BUG 16 16
You entered 16 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:09:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 1 ERROR 16 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:09:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:09:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 BUG 72 72
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:09:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 2 OK -72 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:09:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:10:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 2 BUG -36 -36
The temperature of the liquid starts at -36. How much does it change when the number of hours from now is 24? BUG default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:10:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 3 ERROR -36-24 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:10:27.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 4 INITIAL_HINT -36-24 You are given a value for the number of hours from now. Find the temperature of the liquid. HINT 1 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:10:28.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 5 NEXT_HINT You are given a value for the number of hours from now. Find the temperature of the liquid by calculating -4.5 times the number of hours from now minus 36. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:10:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 6 ERROR -4.5 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:11:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 7 ERROR -4.5-36 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:11:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 8 OK -4.5*24-36 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:11:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 3 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:11:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -36-4.5x=-72 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:11:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-4.5X=-72 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:11:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = -72 strategic 1 OK divide 4.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:12:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -8-X = -16 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:12:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -X = -8 strategic 1 BUG divide -x Dividing anything by itself will leave 1. If you divide -X by -1, X will be left. Erase your last step and then divide by -1. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:12:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -X = -8 strategic 2 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:12:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:13:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 3 OK -36-4.5X=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:13:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = 0 strategic 1 OK divide 4.5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:13:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -8-X = 0 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:13:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -X = 8 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:13:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:14:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:14:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the mine default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:15:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:15:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:15:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:16:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR 1550+7*x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:16:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 BUG -1550+7*x -1550+7*x
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 3 BUG -1550+7*x -1550+7*x
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 4 BUG 1550-7*x 1550-7*X
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 5 ERROR 1550+7*x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 6 INITIAL_HINT 1550+7*x Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:25.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 7 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 8 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:32.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 9 NEXT_HINT Write an expression that means the same thing as -1550 minus 7 times the digging time. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:17:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 10 OK -1550-7*x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:18:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 1 ERROR 10 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:18:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:18:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:19:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 OK -120 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:19:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:19:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:20:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:20:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7X=-1564 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:20:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7x=-1564 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:20:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 1 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session21 2005-11-18 14:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:19:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:19:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the mine default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:19:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:19:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:19:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR -1550+7*12*x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 ERROR -1550++12*x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 3 ERROR -1550+12*x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:21.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 4 INITIAL_HINT -1550+12*x Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 5 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session22 2005-11-23 14:20:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 7 NEXT_HINT Write an expression that means the same thing as -1550 minus 7 times the digging time. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:41:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the the mijne default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 ERROR hours' default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR 1550+7x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 BUG -1550+7x -1550+7x
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:42:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 3 BUG 1550-7x 1550-7x
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:43:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 4 BUG -1550+7x -1550+7x
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:43:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 5 ERROR -1550+7*12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:45:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 6 BUG -1550+7x -1550+7x
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:45:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 7 BUG +1550-7x +1550-7x
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:45:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 8 OK -1550-7x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:46:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:46:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 OK -120 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:46:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 BUG -24 -24
Think about the sign of your answer. BUG default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:46:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 2 OK 24 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:47:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:47:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 BUG -1550-7x=1564 -1550-7x=1564
Please check to make sure that -1550-7x=1564 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:47:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 3 OK -1550-7X=-1564 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:47:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7x=-1564 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:48:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 1 ERROR divide 7x default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:48:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 2 ERROR divide -1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:48:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 3 BUG divide 1550 You want to isolate -7X by removing -1550 from the left side. 1550 is subtracted from -7X. What is the opposite of subtraction? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:48:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 4 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:48:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = -14 strategic 1 ERROR divide 7x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:49:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = -14 strategic 2 BUG divide -7x Dividing anything by itself will leave 1. If you divide -7X by -7, X will be left. Erase your last step and then divide by -7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:49:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = -14 strategic 3 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:49:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 ERROR 221 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 2 ERROR 221/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 3 ERROR 12/221 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 4 INITIAL_HINT 12/221 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 5 NEXT_HINT You know that the expression -1550 - 7X represents the depth of the mine. What value of the digging time will make the general expression -1550 - 7X output the given value of 0 feet? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:52.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 6 NEXT_HINT Since the general expression for the depth of the mine is -1550 - 7X and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:50:56.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 7 NEXT_HINT Solve the equation -1550 - 7X = 0. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:51:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 8 BUG 0 0
Subtract the initial value, -1550, from the digging time first before you divide by -7. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:51:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 9 BUG -1550/-7 -1550/-7
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:51:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 10 OK 0-(-1550)/-7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:52:36.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:52:59.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 1 ERROR multiply 2y-3/3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:53:24.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 2 ERROR rf (2y-3)/2 = 5/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:53:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 3 ERROR rds (2y-3)/2 = 5/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:54:19.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 4 ERROR add 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:54:46.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 5 ERROR clt (2y-3)/2 = 5/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:54:53.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 6 ERROR rf (2y-3)/2 = 5/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:19.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:22.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:36.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:55:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(-6+5) strategic 1 BUG subtract 5 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:07.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(-6+5) strategic 2 ERROR rf -1(-6+5) strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:13.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(-6+5) strategic 3 ERROR rds -1(-6+5) strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:18.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(-6+5) strategic 4 OK clt -6+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:21.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1*-1 strategic 1 ERROR clt -1*-1 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:31.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1*-1 strategic 2 BUG divide 1 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:37.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1*-1 strategic 3 OK mt -1*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (0-8)*-1 strategic 1 OK clt 0-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:56:52.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -8*-1 strategic 1 OK mt -8*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:04.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-7*6 strategic 1 ERROR clt -8-7*6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:09.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-7*6 strategic 2 ERROR distribute -8-7*6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:24.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-7*6 strategic 3 ERROR clt -8-7*6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:29.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-7*6 strategic 4 BUG divide 6 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:35.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-7*6 strategic 5 BUG multiply 6 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:40.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-7*6 strategic 6 OK mt 7*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:47.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-42 strategic 1 ERROR distribute -8-42 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:51.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-42 strategic 2 OK clt -8-42 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:57:59.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-6*4 strategic 1 OK mt 6*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:04.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-24 strategic 1 ERROR mt -3-24 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:08.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-24 strategic 2 ERROR distribute -3-24 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:12.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-24 strategic 3 OK clt -3-24 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:16.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -27 strategic 1 BUG clt -27 strategic You already simplified the expression. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:28.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8+3*-7 strategic 1 BUG divide 7 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:33.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8+3*-7 strategic 2 OK mt 3*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:37.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8+(-21) strategic 1 OK clt -8+(-21) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:47.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*-1-4 strategic 1 ERROR clt -2*-1-4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:51.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*-1-4 strategic 2 OK mt -2*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:58:55.0 CYCLE CYCLE ES_02 ES_02-1 EG29 2-4 strategic 1 OK clt 2-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:01.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2-8*-3 strategic 1 OK mt 8*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:06.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2-(-24) strategic 1 ERROR mt 2-(-24) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:09.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2-(-24) strategic 2 OK clt 2-(-24) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:17.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*-10-7 strategic 1 OK mt -2*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 20-7 strategic 1 OK clt 20-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:27.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-2-9)*-9 strategic 1 ERROR mt (-2-9)*-9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:35.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-2-9)*-9 strategic 2 OK distribute (-2-9)*-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:43.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -2*-9-9*-9 strategic 1 OK mt -2*-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:47.0 CYCLE CYCLE ES_02 ES_02-1 EG30 18-9*-9 strategic 1 OK mt 9*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:52.0 CYCLE CYCLE ES_02 ES_02-1 EG30 18-(-81) strategic 1 ERROR distribute 18-(-81) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 13:59:56.0 CYCLE CYCLE ES_02 ES_02-1 EG30 18-(-81) strategic 2 OK clt 18-(-81) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:03.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-2-6) strategic 1 ERROR mt -4(-2-6) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:14.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-2-6) strategic 2 ERROR mt -4(-2-6) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:19.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-2-6) strategic 3 OK distribute -4(-2-6) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:27.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4*-2-4*-6 strategic 1 ERROR clt -4*-2-4*-6 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:34.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4*-2-4*-6 strategic 2 OK mt -4*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:37.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8-4*-6 strategic 1 OK mt 4*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:42.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8-(-24) strategic 1 OK clt 8-(-24) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:49.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2(-1-4) strategic 1 ERROR mt 2(-1-4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:00:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2(-1-4) strategic 2 OK clt -1-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:08.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2*-5 strategic 1 OK mt 2*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:15.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-1)*-2 strategic 1 ERROR mt (-9-1)*-2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:20.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-1)*-2 strategic 2 ERROR mt (-9-1)*-2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:24.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-1)*-2 strategic 3 OK clt -9-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:33.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*-2 strategic 1 ERROR clt -10*-2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:38.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*-2 strategic 2 OK mt -10*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:44.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5+9)*-3 strategic 1 ERROR mt (-5+9)*-3 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5+9)*-3 strategic 2 OK distribute (-5+9)*-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:54.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5*-3+9*-3 strategic 1 OK mt -5*-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:01:58.0 CYCLE CYCLE ES_02 ES_02-1 EG30 15+9*-3 strategic 1 OK mt 9*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:03.0 CYCLE CYCLE ES_02 ES_02-1 EG30 15+(-27) strategic 1 OK clt 15+(-27) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:10.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(-7-9) strategic 1 OK distribute -1(-7-9) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:16.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1*-7-1*-9 strategic 1 OK mt -1*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:21.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7-1*-9 strategic 1 OK mt 1*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:26.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7-(-9) strategic 1 OK clt 7-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:34.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4-4)*-2 strategic 1 OK distribute (-4-4)*-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:39.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*-2-4*-2 strategic 1 OK mt -4*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:44.0 CYCLE CYCLE ES_02 ES_02-1 EG30 8-4*-2 strategic 1 OK mt 4*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 8-(-8) strategic 1 OK clt 8-(-8) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:02:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-5)*-2 strategic 1 OK distribute (-3-5)*-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:03:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -8*-2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:03:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -8*-2 strategic 1 ERROR clt -8*-2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:03:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -8*-2 strategic 2 OK mt -8*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:03:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 16 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:04:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(9-10) strategic 1 OK distribute -6(9-10) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:04:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 1-6 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:04:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -6*-1 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:04:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-1 strategic 1 OK mt -6*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:04:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:04:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7+1*-7 strategic 1 OK mt 1*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:05:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -8*-8 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:05:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -8*-7 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:05:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -7*-8 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:05:43.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT -7*-8 You need to perform multiplication in -7+1*-7. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:05:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 BUG -7+1*(-7) -7+1*(-7)
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:06:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -7+(-7) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:06:32.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7-7 strategic 1 OK clt -7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:06:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR 0 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:06:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK -14 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:06:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (1-4)*-4 strategic 1 ERROR mt (1-4)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:06:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (1-4)*-4 strategic 2 OK distribute (1-4)*-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:07:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -3*-4 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:07:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -3*-4 strategic 1 ERROR clt -3*-4 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:07:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -3*-4 strategic 2 OK mt -3*-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:07:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 12 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:08:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(-4+3) strategic 1 OK distribute -5(-4+3) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:08:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -5*-7 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:08:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -5*-1 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:08:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-1 strategic 1 ERROR clt -5*-1 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:08:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-1 strategic 2 OK mt -5*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:08:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 5 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:09:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-2*-5 strategic 1 ERROR distribute -5-2*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:09:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-2*-5 strategic 2 OK mt 2*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:09:22.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -7*-5 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session23 2005-11-29 14:09:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -7*-5 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:40:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-4*-9 strategic 1 BUG multiply 9 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:40:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-4*-9 strategic 2 OK mt 4*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:42:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 4*-9 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:42:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -36 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:42:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 36 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:42:31.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 36 You need to perform multiplication in -1-4*-9. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:42:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -1-(-36) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+36 strategic 1 OK clt -1+36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK 35 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-7-4) strategic 1 ERROR mt -7(-7-4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-7-4) strategic 2 OK distribute -7(-7-4) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -7--10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -7*10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -7*10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -7-10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:43:55.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT -7-10 In the group above, you have [-7]*[-7]+[-7]*[-4]. Perform that addition. HINT 1 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:44:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -7*(-7)+(-7*(-4)) default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:44:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-7-7*-4 strategic 1 ERROR clt -7*-7-7*-4 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:44:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-7-7*-4 strategic 2 OK mt -7*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:44:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR 49-7*-4 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:45:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR 49-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:45:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR 49-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:45:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 ERROR 49-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:45:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 ERROR 49-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:45:50.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 BUG -49-28 -49-28
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 ERROR -49+28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 14 BUG 77 77
Just multiply -7*-7 and -7*-4. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 15 ERROR 49-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 16 ERROR 42-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 17 ERROR 42-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 18 ERROR 42-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 19 ERROR 42-28 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:46:38.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 20 INITIAL_HINT 42-28 You need to perform multiplication in -7*-7-7*-4. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 21 OK 49-(-28) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 49+28 strategic 1 OK clt 49+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 22 OK 77 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (9-8)*-7 strategic 1 ERROR mt (9-8)*-7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (9-8)*-7 strategic 2 OK distribute (9-8)*-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 1*-7 default_condition distribute-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-7 strategic 1 ERROR clt 1*-7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:47:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-7 strategic 2 ERROR distribute 1*-7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:48:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-7 strategic 3 ERROR clt 1*-7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:48:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-7 strategic 4 ERROR rds 1*-7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:48:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-7 strategic 5 ERROR distribute 1*-7 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:48:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-7 strategic 6 OK mt 1*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:48:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -7 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:48:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8(10-10) strategic 1 OK clt 10-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -8*0 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*0 strategic 1 ERROR clt -8*0 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*0 strategic 2 ERROR clt -8*0 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*0 strategic 3 OK mt -8*0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5*-1+2 strategic 1 OK mt -5*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 5+2 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+2 strategic 1 ERROR distribute 5+2 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+2 strategic 2 OK clt 5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:49:53.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 7 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-2)*-1 strategic 1 OK mt (-3-2)*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 1 ERROR -3-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -3-21R1 strategic 1 OK -3-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 2 ERROR MISSING_OPERATOR default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 3 OK -1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factorsR2 strategic 1 OK -1 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -3-2R2 strategic 1 OK -5 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 5 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (6+5)*-1 strategic 1 OK mt (6+5)*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 6+51R1 strategic 1 OK 6+5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:50:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 1 OK -1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factorsR2 strategic 1 OK -1 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 6+5R2 strategic 1 OK 11 default_condition perform-mult-row2-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -11 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3(-9+7) strategic 1 ERROR mt -3(-9+7) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3(-9+7) strategic 2 OK clt -9+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -3*-416 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:51:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -3*-16 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -3*-15 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:02.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -3*-15 You need to combine like terms in -3(-9+7). HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -3*-2 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3*-2 strategic 1 ERROR clt -3*-2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3*-2 strategic 2 OK mt -3*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:52:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 6(-9-3) strategic 1 ERROR mt 6(-9-3) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 6(-9-3) strategic 2 OK clt -9-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 BUG 6*12 6*12
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -6*12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*12 strategic 1 OK mt -6*12 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -72 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-7)*2 strategic 1 ERROR mt (-8-7)*2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:53:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-7)*2 strategic 2 OK clt -8-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:54:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -15*2 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:54:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -15*2 strategic 1 OK mt -15*2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:54:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -30 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:55:37.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (-5-46)*17 = x strategic 1 ERROR mt (-5-46)*17 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:55:40.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (-5-46)*17 = x strategic 2 OK clt -5-46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:55:44.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -51*17 = x strategic 1 OK mt -51*17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:55:52.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -31(-7+29) = y strategic 1 ERROR mt -31(-7+29) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:03.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -31(-7+29) = y strategic 2 OK clt -7+29 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:07.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -31*22 = y strategic 1 OK mt -31*22 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:14.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (-16-42)*8 = y strategic 1 OK clt -16-42 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:18.0 CYCLE CYCLE ES_02 ES_02-3 EG34B -58*8 = y strategic 1 OK mt -58*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:36.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -42-16*-44 = y strategic 1 ERROR clt -42-16*-44 = y strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:40.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -42-16*-44 = y strategic 2 OK mt 16*-44 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:43.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -42-(-704) = y strategic 1 ERROR mt -42-(-704) = y strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:56:48.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -42-(-704) = y strategic 2 ERROR distribute -42-(-704) = y strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:03.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -42-(-704) = y strategic 3 ERROR mt -42-(-704) = y strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:11.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -42-(-704) = y strategic 4 OK clt -42-(-704) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:19.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -38*23-49 strategic 1 OK mt -38*23 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:23.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -874-49 strategic 1 ERROR mt x = -874-49 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:26.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -874-49 strategic 2 OK clt -874-49 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:45.0 CYCLE CYCLE ES_02 ES_02-3 EG37C 4+0 = x strategic 1 OK clt 4+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:56.0 CYCLE CYCLE ES_02 ES_02-3 EG35 8(-9-10) = y strategic 1 ERROR mt 8(-9-10) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:57:59.0 CYCLE CYCLE ES_02 ES_02-3 EG35 8(-9-10) = y strategic 2 OK clt -9-10 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:02.0 CYCLE CYCLE ES_02 ES_02-3 EG35 8*-19 = y strategic 1 OK mt 8*-19 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:11.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -25(-2-27) = x strategic 1 OK clt -2-27 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:15.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -25*-29 = x strategic 1 OK mt -25*-29 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:27.0 CYCLE CYCLE ES_02 ES_02-3 EG36 4+7 = y strategic 1 OK clt 4+7 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:35.0 CYCLE CYCLE ES_02 ES_02-3 EG34C (22-35)*26 = x strategic 1 ERROR mt (22-35)*26 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:46.0 CYCLE CYCLE ES_02 ES_02-3 EG34C (22-35)*26 = x strategic 2 OK clt 22-35 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:49.0 CYCLE CYCLE ES_02 ES_02-3 EG34C -13*26 = x strategic 1 OK mt -13*26 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:58:56.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-9-9)*7 = x strategic 1 ERROR mt (-9-9)*7 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:00.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-9-9)*7 = x strategic 2 OK clt -9-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:03.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -18*7 = x strategic 1 OK mt -18*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:12.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -43(-25-11) = y strategic 1 ERROR mt -43(-25-11) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:15.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -43(-25-11) = y strategic 2 OK clt -25-11 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:17.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -43*-36 = y strategic 1 ERROR clt -43*-36 = y strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:20.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -43*-36 = y strategic 2 OK mt -43*-36 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:28.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -14(-3-36) = y strategic 1 OK clt -3-36 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -14*-39 = y strategic 1 OK mt -14*-39 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:37.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (17-37)*34 strategic 1 ERROR mt x = (17-37)*34 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:42.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (17-37)*34 strategic 2 OK clt 17-37 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:46.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -20*34 strategic 1 ERROR rf x = -20*34 strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:50.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -20*34 strategic 2 OK mt -20*34 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 13:59:57.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -33(-38+24) = x strategic 1 ERROR mt -33(-38+24) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:00:00.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -33(-38+24) = x strategic 2 OK clt -38+24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:00:05.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -33*-14 = x strategic 1 OK mt -33*-14 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:00:13.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-43-12)*-7 strategic 1 ERROR mt y = (-43-12)*-7 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:00:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-43-12)*-7 strategic 2 OK clt -43-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:01:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -55*-7 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:01:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -55*-7 strategic 1 OK mt -55*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:01:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 385 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:01:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35A x = -24(-8-47) strategic 1 ERROR mt x = -24(-8-47) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:01:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35A x = -24(-8-47) strategic 2 OK clt -8-47 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:02:07.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 ERROR -24*37 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:02:15.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 ERROR 24*37 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:02:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 3 ERROR -24*-37 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:02:23.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 4 INITIAL_HINT -24*-37 You need to combine like terms in -24(-8-47). HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:02:39.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 5 OK -24*-55 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:02:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35A x = -24*-55 strategic 1 OK mt -24*-55 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:03:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 6 OK 1320 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:03:38.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-4-6)*-7 strategic 1 ERROR mt y = (-4-6)*-7 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:03:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-4-6)*-7 strategic 2 OK clt -4-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:03:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -10*-7 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:04:02.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -10*-7 strategic 1 OK mt -10*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:04:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 70 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:04:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -45(22-31) strategic 1 OK clt 22-31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:04:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -45*-9 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:04:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -45*-9 strategic 1 OK mt -45*-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:05:04.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 405 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:05:14.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = 46(22-46) strategic 1 OK clt 22-46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:05:55.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 46*-24 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:06:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = 46*-24 strategic 1 OK mt 46*-24 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:06:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 ERROR 1104 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:06:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK -1104 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:06:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34C (-24+3)*-25 = x strategic 1 OK clt -24+3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -21*-25 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34C -21*-25 = x strategic 1 OK mt -21*-25 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK 525 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = -1 strategic 1 ERROR mt -3x+8 = -1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = -1 strategic 2 ERROR distribute -3x+8 = -1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = -1 strategic 3 ERROR clt -3x+8 = -1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:08:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = -1 strategic 4 ERROR distribute -3x+8 = -1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:09:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = -1 strategic 5 ERROR mt -3x+8 = -1 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:09:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = -1 strategic 6 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:09:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8-8 = -1-8 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:09:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-3x+8-8)/-3 = (-1-8)/-3 strategic 1 OK rf (-3x+8-8)/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:09:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-3x+8-8)/3 = (-1-8)/-3 strategic 1 OK rf (-1-8)/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:10:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-3x+8-8)/3 = -(-1-8)/3 strategic 1 OK clt -3x+8-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:10:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-3x)/3 = -(-1-8)/3 strategic 1 OK clt -1-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:10:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-3x)/3 = -(-9)/3 strategic 1 ERROR clt -(-3x)/3 = -(-9)/3 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:10:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-3x)/3 = -(-9)/3 strategic 2 OK rf -(-3x)/3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:10:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -(-9)/3 strategic 1 OK rf -(-9)/3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = -6+5x strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+6 = -6+5x+6 strategic 1 OK clt 9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 15 = -6+5x+6 strategic 1 OK clt -6+5x+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 15 = 5x strategic 1 ERROR clt 15 = 5x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 15 = 5x strategic 2 ERROR distribute 15 = 5x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 15 = 5x strategic 3 ERROR mt 15 = 5x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 15 = 5x strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:11:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 15/5 = 5x/5 strategic 1 OK rf 15/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = -5x-1 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/-5 = (-5x-1)/-5 strategic 1 OK rf -1/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-5x-1)/-5 strategic 1 OK rf (-5x-1)/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x-1)/5 strategic 1 ERROR clt 1/5 = -(-5x-1)/5 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x-1)/5 strategic 2 ERROR mt 1/5 = -(-5x-1)/5 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x-1)/5 strategic 3 ERROR rf 1/5 = -(-5x-1)/5 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x-1)/5 strategic 4 OK distribute -(-5x-1) default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:12:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)-(-1))/5 strategic 1 ERROR rf 1/5 = (-(-5x)-(-1))/5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)-(-1))/5 strategic 2 ERROR clt 1/5 = (-(-5x)-(-1))/5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)-(-1))/5 strategic 3 OK distribute (-(-5x)-(-1))/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x)/5-(-1/5) strategic 1 ERROR distribute 1/5 = -(-5x)/5-(-1/5) strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x)/5-(-1/5) strategic 2 OK clt -(-5x)/5-(-1/5) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)+1)/5 strategic 1 ERROR rf 1/5 = (-(-5x)+1)/5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)+1)/5 strategic 2 ERROR clt 1/5 = (-(-5x)+1)/5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)+1)/5 strategic 3 OK distribute (-(-5x)+1)/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x)/5+1/5 strategic 1 ERROR distribute 1/5 = -(-5x)/5+1/5 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x)/5+1/5 strategic 2 ERROR rf -(-5x)/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = -(-5x)/5+1/5 strategic 3 OK clt -(-5x)/5+1/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:13:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = (-(-5x)+1)/5 strategic 4 ERROR rf 1/5 = (-(-5x)+1)/5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = -5x-1 strategic 2 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1+1 = -5x-1+1 strategic 1 OK clt -1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -5x-1+1 strategic 1 OK clt -5x-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -5x strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/-5 = -5x/-5 strategic 1 OK rf 0/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -5x/-5 strategic 1 OK rf -5x/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:15:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y+3 = 8 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:16:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y+3-3 = 8-3 strategic 1 OK clt -3y+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:16:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 8-3 strategic 1 OK clt 8-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:16:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 5 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:16:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y/-3 = 5/-3 strategic 1 OK rf -3y/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:16:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 5/-3 strategic 1 OK rf 5/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:17:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-9y = -8 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:18:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:18:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 2 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:18:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 3 ERROR typein -18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:18:52.0 HINT HINT ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:18:57.0 HINT HINT ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 5 NEXT_HINT Type in (4-9y)/-9 on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 6 ERROR typein 4-9y/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 7 BUG typein (4-9y)/9 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 8 OK typein (4-9y)/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:42.0 HINT HINT ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:44.0 HINT HINT ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 10 NEXT_HINT Type in -8/-9 on the right. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 11 ERROR typein -8/-9-18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:19:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 12 OK typein -8/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 13 ERROR clt (4-9y)/-9 = -8/-9 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 (4-9y)/-9 = -8/-9 strategic 14 OK rf (4-9y)/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -4y/-9 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -5y/-9 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -6y/-9 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:42.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT -6y/-9 Above is the simplified form of the expression (4-9y)/-9. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session24 2005-12-02 14:20:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR -(4- default_condition simplify-fractions-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:46:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 8-7y strategic 1 ERROR mt 9 = 8-7y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:46:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 8-7y strategic 2 ERROR clt 9 = 8-7y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:46:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 8-7y strategic 3 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:46:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-7 = (8-7y)/-7 strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:47:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-7 = (8-7y)/-7 strategic 2 ERROR typein -y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:47:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-7 = (8-7y)/-7 strategic 3 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:49:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-7 = (8-7y)/-7 strategic 4 OK typein -1.2874 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:49:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 8-7y strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:49:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = 8-7y-8 strategic 1 OK typein -7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:50:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = 8-7y-8 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:50:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:50:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-7 = -7y/-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:50:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-7 = -7y/-7 strategic 2 BUG typein -7 -7 is equal to 1 times -7. You need to calculate 1 divided by -7. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:51:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-7 = -7y/-7 strategic 3 OK typein -0.142857 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:51:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = 8x-8 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:51:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8 = 8x-8+8 strategic 1 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:51:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+8 = 8x-8+8 strategic 2 OK typein 8x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:51:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:52:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/8 = 8x/8 strategic 1 OK typein 1.125 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:52:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/8 = 8x/8 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:52:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+2x = -8 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:52:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+2x-6 = -8-6 strategic 1 OK typein -14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:53:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+2x-6 = -8-6 strategic 2 OK typein 2x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:53:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x = -14 strategic 1 ERROR divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:53:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x = -14 strategic 2 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:53:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x/2 = -14/2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:53:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x/2 = -14/2 strategic 2 OK typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:53:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+8y = -9 strategic 1 ERROR add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:54:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+8y = -9 strategic 2 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:54:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+8y+4 = -9+4 strategic 1 ERROR typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:54:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+8y+4 = -9+4 strategic 2 OK typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:54:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+8y+4 = -9+4 strategic 3 OK typein 8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:54:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8y = -5 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:54:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8y/8 = -5/8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:55:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8y/8 = -5/8 strategic 2 OK typein -0.625 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:55:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y-2 = -8 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:55:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y-2+2 = -8+2 strategic 1 OK typein 7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:55:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y-2+2 = -8+2 strategic 2 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:55:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y = -6 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:55:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y/7 = -6/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:56:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7y/7 = -6/7 strategic 2 OK typein -0.857142 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:56:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/-4-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:57:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+6 = y/-4-6+6 strategic 1 OK clt 6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:57:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = y/-4-6+6 strategic 1 OK clt y/-4-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:57:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = y/-4 strategic 1 ERROR mt 12 = y/-4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:57:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = y/-4 strategic 2 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:57:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12*-4 = y/-4*-4 strategic 1 OK mt 12*-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:57:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -48 = y/-4*-4 strategic 1 OK mt y/-4*-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = -2+(y/-8) strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+2 = -2+(y/-8)+2 strategic 1 OK clt -8+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = -2+(y/-8)+2 strategic 1 OK clt -2+(y/-8)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*-8 = y/-8*-8 strategic 1 OK mt -6*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 48 = y/-8*-8 strategic 1 OK mt y/-8*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6-2 = 7 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 13:59:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6-2+2 = 7+2 strategic 1 OK clt x/6-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = 7+2 strategic 1 OK clt 7+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = 9 strategic 1 BUG divide 6 To remove the coefficient of x/6, you need to divide by 1/6 or multiply by 6. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = 9 strategic 2 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6*6 = 9*6 strategic 1 OK mt x/6*6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 9*6 strategic 1 OK mt 9*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/7-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+5 = x/7-5+5 strategic 1 OK clt -4+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:00:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/7-5+5 strategic 1 OK clt x/7-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = x/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*7 = x/7*7 strategic 1 OK mt 1*7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/7*7 strategic 1 OK mt x/7*7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9-3 = 1 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9-3+3 = 1+3 strategic 1 OK clt x/9-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9 = 1+3 strategic 1 OK clt 1+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:01:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9 = 4 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:02:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9*9 = 4*9 strategic 1 OK mt x/9*9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:02:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 4*9 strategic 1 OK mt 4*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:02:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = x/8+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:02:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-9 = x/8+9-9 strategic 1 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:02:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-9 = x/8+9-9 strategic 2 OK typein x/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:03:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/8 strategic 1 ERROR add 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:03:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/8 strategic 2 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:03:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/8 strategic 3 ERROR multiply x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:03:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/8 strategic 4 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:04:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*8 = x/8*8 strategic 1 OK typein -6*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:04:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*8 = x/8*8 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:04:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*8 = x strategic 1 OK mt -6*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:04:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -48 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:04:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-7+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:04:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-2 = y/-7+2-2 strategic 1 OK typein y/-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0-2 = y/-7+2-2 strategic 2 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = y/-7 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2*-7 = y/-7*-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2*-7 = y/-7*-7 strategic 2 OK typein -2*-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2*-7 = y strategic 1 OK mt -2*-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 14 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:05:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 9+(y/-3) strategic 1 ERROR distribute 2 = 9+(y/-3) strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:06:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 9+(y/-3) strategic 2 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:06:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-3 = (9+(y/-3))*-3 strategic 1 OK typein 2*-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:06:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-3 = (9+(y/-3))*-3 strategic 2 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:06:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-3 = (9+(y/-3))*-3 strategic 3 ERROR typein y/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:06:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-3 = (9+(y/-3))*-3 strategic 4 ERROR typein 9+y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:07:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = 9+(y/-3) strategic 3 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:07:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-9 = 9+(y/-3)-9 strategic 1 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:08:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-9 = 9+(y/-3)-9 strategic 2 OK typein y/-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:08:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:08:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-3 = y/-3*-3 strategic 1 OK typein -7*-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:08:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-3 = y/-3*-3 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:08:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*-3 = y strategic 1 OK mt -7*-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:08:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 21 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:09:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/y = 1 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:09:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/y*y = 1y strategic 1 OK mt 10/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:09:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = 1y strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:10:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x = -7 strategic 1 ERROR add 7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:10:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x = -7 strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:10:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x*x = -7x strategic 1 OK mt -3/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:10:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -7x strategic 1 BUG multiply -7 To remove the coefficient of -7x, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:10:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -7x strategic 2 BUG add -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -7x strategic 3 ERROR add 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -7x strategic 4 BUG divide 7 In this equation, x is multiplied by -7. Dividing by 7 leaves -x, so you still need to remove the negative sign. It is better to divide by -7, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:27.0 HINT HINT ES_02 ES_02-9 EG44 -3 = -7x strategic 5 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:31.0 HINT HINT ES_02 ES_02-9 EG44 -3 = -7x strategic 6 NEXT_HINT -7x is -7 times x. How do you undo multiplication? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:35.0 HINT HINT ES_02 ES_02-9 EG44 -3 = -7x strategic 7 NEXT_HINT Divide both sides by -7. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -7x strategic 8 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/-7 = -7x/-7 strategic 1 OK rf -3/-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:11:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/7 = -7x/-7 strategic 1 OK rf -7x/-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:12:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -5 strategic 1 ERROR add 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:12:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -5 strategic 2 BUG multiply 2 To remove the coefficient of 2/y, you need to divide. Erase your last step and then divide both sides by 2. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -5 strategic 3 ERROR divide 2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -5 strategic 4 ERROR divide 2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:17.0 HINT HINT ES_02 ES_02-9 EG44 2/y = -5 strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:18.0 HINT HINT ES_02 ES_02-9 EG44 2/y = -5 strategic 6 NEXT_HINT 2/y is 2 divided by y. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:22.0 HINT HINT ES_02 ES_02-9 EG44 2/y = -5 strategic 7 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -5 strategic 8 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y*y = -5y strategic 1 OK mt 2/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:13:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -5y strategic 1 BUG divide 5 In this equation, y is multiplied by -5. Dividing by 5 leaves -y, so you still need to remove the negative sign. It is better to divide by -5, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -5y strategic 2 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-5 = -5y/-5 strategic 1 OK rf 2/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/5 = -5y/-5 strategic 1 OK rf -5y/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -8/x strategic 1 BUG multiply -8 To remove the coefficient of -8/x, you need to divide. Erase your last step and then divide both sides by -8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -8/x strategic 2 ERROR add 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -8/x strategic 3 ERROR rf -8 = -8/x strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:14:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -8/x strategic 4 ERROR add 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:15:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -8/x strategic 5 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:15:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = -8/x*x strategic 1 OK divide -8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:15:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = -8/x*x strategic 2 OK mt -8/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:16:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = -8 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:16:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x/-8 = -8/-8 strategic 1 OK rf -8x/-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:16:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -8/-8 strategic 1 OK rf -8/-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:16:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/y = -4 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:16:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/y*y = -4y strategic 1 OK mt 10/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:17:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = -4y strategic 1 BUG add 4 In -4y, y is multiplied by -4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:17:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = -4y strategic 2 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:17:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/-4 = -4y/-4 strategic 1 OK rf 10/-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:17:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/2 = -4y/-4 strategic 1 OK rf -4y/-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:17:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/2 = y strategic 1 BUG rf -5/2 = y strategic You already solved the equation. y is -5/2. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:17:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -3/y strategic 1 BUG multiply -3 To remove the coefficient of -3/y, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:18:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -3/y strategic 2 ERROR divide -3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:18:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -3/y strategic 3 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:18:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = -3/y*y strategic 1 OK mt -3/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:18:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = -3 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:19:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y/-6 = -3/-6 strategic 1 OK rf -6y/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:19:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y = 9 strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:19:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y = 9 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:19:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y*y = 9y strategic 1 OK mt -4/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:19:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 9y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:19:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/9 = 9y/9 strategic 1 OK rf 9y/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session25 2005-12-07 14:20:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/y = 3 strategic 1 BUG multiply 3 To remove the coefficient of 3/y, you need to divide. Erase your last step and then divide both sides by 3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:45:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/x = 2 strategic 1 BUG multiply 7 To remove the coefficient of 7/x, you need to divide. Erase your last step and then divide both sides by 7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:45:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/x = 2 strategic 2 ERROR divide 7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:45:27.0 HINT HINT ES_02 ES_02-9 EG44 7/x = 2 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:45:28.0 HINT HINT ES_02 ES_02-9 EG44 7/x = 2 strategic 4 NEXT_HINT 7/x is 7 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:45:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/x = 2 strategic 5 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:45:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/x = 2 strategic 6 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/x*x = 2x strategic 1 OK mt 7/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/2 = 2x/2 strategic 1 OK rf 2x/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 9/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x = 9/x*x strategic 1 OK mt 9/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x = 9 strategic 1 BUG multiply -9 To remove the coefficient of -9x, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:46:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x = 9 strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:47:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9x/-9 = 9/-9 strategic 1 OK rf -9x/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:47:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 9/-9 strategic 1 OK rf 9/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:47:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = 6/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:47:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = 6/y*y strategic 1 OK mt 6/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:47:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = 6 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:47:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y/6 = 6/6 strategic 1 OK rf 6y/6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -3/y strategic 1 BUG multiply -3 To remove the coefficient of -3/y, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -3/y strategic 2 ERROR divide -3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -3/y strategic 3 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y = -3/y*y strategic 1 OK mt -3/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y = -3 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y/-1 = -3/-1 strategic 1 ERROR mt -1y/-1 = -3/-1 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y/-1 = -3/-1 strategic 2 OK rf -1y/-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -3/-1 strategic 1 OK rf -3/-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:48:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -8/x strategic 1 ERROR divide -8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:49:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -8/x strategic 2 BUG multiply -8 To remove the coefficient of -8/x, you need to divide. Erase your last step and then divide both sides by -8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:49:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -8/x strategic 3 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:49:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7x = -8/x*x strategic 1 OK mt -8/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:49:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7x = -8 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:49:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7x/-7 = -8/-7 strategic 1 OK rf -7x/-7 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:49:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -3 strategic 1 BUG multiply 2 To remove the coefficient of 2/y, you need to divide. Erase your last step and then divide both sides by 2. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:50:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -3 strategic 2 ERROR divide 2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:50:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -3 strategic 3 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:50:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -3 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:50:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y*y = -3y strategic 1 OK mt 2/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:50:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -3y strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:51:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-3 = -3y/-3 strategic 1 OK rf 2/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:51:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/3 = -3y/-3 strategic 1 OK rf -3y/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:52:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y = -5 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:52:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y*y = -5y strategic 1 OK mt -8/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:53:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -5y strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:53:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/-5 = -5y/-5 strategic 1 OK rf -8/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:53:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/5 = -5y/-5 strategic 1 OK rf -5y/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:53:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = 6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:54:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x*x = 6x strategic 1 OK mt 2/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:54:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:54:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/6 = 6x/6 strategic 1 OK rf 2/6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:54:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1/3 = 6x/6 strategic 1 OK rf 6x/6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:54:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x = 2 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:54:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 2x strategic 1 OK typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:55:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 2x strategic 2 OK typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:55:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:55:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/2 = 2x/2 strategic 1 OK typein 1.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:55:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/2 = 2x/2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:55:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6 = -8/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:55:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:56:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 2 OK typein -6y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:56:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 3 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:56:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 4 ERROR typein -8y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:56:59.0 HINT HINT ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:57:01.0 HINT HINT ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 6 NEXT_HINT Type in -8/y*y on the right. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:57:13.0 HINT HINT ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:57:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 8 OK typein -8/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:57:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 9 ERROR rf -6y = -8/y*y strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:57:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 10 BUG divide -6 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:57:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 11 BUG divide -8 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 12 ERROR multiply -8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:09.0 HINT HINT ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 13 INITIAL_HINT default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:11.0 HINT HINT ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 14 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8/y*y strategic 15 OK mt -8/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y*1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:58:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -8 default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:59:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y = -8 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:59:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y/-6 = -8/-6 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 13:59:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y/-6 = -8/-6 strategic 2 OK typein 1.3333 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = 7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x = 7/x*x strategic 1 OK typein -3x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x = 7/x*x strategic 2 OK typein 7/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x = 7/x*x strategic 3 OK mt 7/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 7x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x*1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:00:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 7 default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:01:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x = 7 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:01:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x/-3 = 7/-3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:01:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x/-3 = 7/-3 strategic 2 OK typein -2.3333 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 8/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = 8/y*y strategic 1 OK typein 7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = 8/y*y strategic 2 OK typein 8/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = 8/y*y strategic 3 OK mt 8/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 8y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 8 default_condition perform-mult-r-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y = 8 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:02:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/7 = 8/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 668lBbaKFE session26 2005-12-14 14:03:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7y/7 = 8/7 strategic 2 OK typein 1.1428 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:56:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:56:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:56:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG cost of scuba lessons COST OF SCUBA LESSONS
Try total cost of scuba lessons. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:56:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 OK total cost of scuba lessons default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:57:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:57:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 BUG 25.5h + 90.75 25.5h + 90.75
You entered 25.5H+90.75 in the wrong column. BUG default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:57:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 BUG 25.5h + 90.75 25.5h + 90.75
You entered 25.5H+90.75 in the wrong column. BUG default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:57:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.5h + 90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:57:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 3 OK h default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:58:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:58:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:58:36.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 13:58:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:00:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:00:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:01:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK amount of carpet default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:01:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 OK square yards default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:01:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK total cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:01:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:01:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK y default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:02:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95y default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:02:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:02:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:02:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 OK 1036 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:02:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:03:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:03:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:03:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK amount of money spent on long distance default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:04:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:04:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:04:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 BUG $ $
You entered $ in the wrong row. BUG default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:04:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 2 OK s default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:05:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 ERROR 5000S default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:05:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 2 OK 5S+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:05:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:05:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:06:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 OK 330 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:06:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C2 1 OK 46000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:06:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 OK 27000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:07:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:09:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:10:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 OK area of constuction default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:10:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 OK cost of construction default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:13:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 OK square feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:13:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:13:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 OK f default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:13:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK 49.5f default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:13:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:14:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 OK 245 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:14:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 OK 321750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:14:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 OK 42916.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:18:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 867 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:18:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 OK 6500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:21:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time for now default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session9 2005-10-07 14:21:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:50:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time from now default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:51:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK total distance the jet has flown default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:51:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:51:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:51:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK h default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:52:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 ERROR 1250-750h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:52:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 ERROR 1250*750h default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:53:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 3 BUG 1250h-750 1250h-750
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:53:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 4 OK 1250h+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:53:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 ERROR 1.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:53:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 2 OK .5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:54:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 ERROR 1 hour and 36 minutes default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:54:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 ERROR 1 hour and 36 minutes default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:54:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 3 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:55:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 4 ERROR 1 36/60 default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:55:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 5 INITIAL_HINT 1 36/60 Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:55:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 6 BUG 1 1
1 is the amount of hours, but the question asks for one hour and thirty-six minutes. You need to convert this to hours. BUG default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:56:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 7 OK 1.6 default_condition Convert unit, mixed Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:56:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 ERROR 1000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:57:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 ERROR 250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:57:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 ERROR 1000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:58:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:58:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 4 OK 1750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:58:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 OK .8 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:59:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 OK 2.2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 13:59:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C1 1 OK number of students enrolled default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:00:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C2 1 OK number of students recieving an A or B default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:00:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 1 OK s default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:00:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 1 ERROR .4s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:00:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 2 ERROR .5s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:01:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 3 OK .25s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:01:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R4C1 1 OK 440 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:01:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R5C1 1 OK 700 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:01:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C1 1 BUG 1125 1125
You entered 1,125 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:01:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C2 1 OK 1125 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:02:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C2 1 OK 40 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:02:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C1 2 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:02:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:02:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C1 1 OK number of people default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C2 1 OK cost of cake default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C1 1 OK P default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C2 1 OK 1.25p default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R5C1 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:03:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C2 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:04:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C2 1 OK 56.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:04:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:04:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 1 OK 45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:04:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C1 1 OK time worked default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C2 1 OK total pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C1 1 OK h default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C2 1 ERROR 11.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C2 2 OK 11.50h default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R4C1 1 OK 4 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R5C1 1 OK 15.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C2 1 ERROR 75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:05:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C2 2 OK 975 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:06:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C2 1 OK 409.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:07:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C1 1 ERROR 84.8 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:07:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C1 2 OK 84.78 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:07:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C1 1 ERROR 35.60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:08:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C1 2 OK 35.61 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:08:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 OK gross pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 OK take home pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 BUG $ $
You entered $ in the wrong row. BUG default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 2 OK g default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 OK .65g default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:09:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 OK 40000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:10:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:10:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:10:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:10:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 2575 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:11:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 1 OK current pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:11:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:11:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C2 1 OK employee'ss raise default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:11:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:11:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C1 1 OK c default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:11:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 1 OK .05c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:12:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R4C1 1 OK 17500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:12:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 1 OK 43000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:12:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C2 1 OK 5000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:12:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C2 1 OK 3125 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:12:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 1 OK 100000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C1 1 OK 62500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:14:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C1 1 OK number of cones default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:14:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C2 1 OK profit default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:14:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:14:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C1 1 OK S default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:15:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 1 OK 1.25s-75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:15:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C1 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:15:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R5C1 1 OK 800 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:15:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C2 1 OK 550 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:15:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C2 1 OK 473.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:17:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 1 ERROR 380 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:17:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 2 ERROR 380 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:17:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 3 ERROR 380 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:18:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 4 BUG 365 365
Subtract the initial value, -75, from the total amount 550 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:18:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 5 ERROR -75-550 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:18:58.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R6C1 6 INITIAL_HINT -75-550 550 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 550 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:19:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 7 ERROR -75-550h default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:19:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 1 OK 439 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:20:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 8 OK 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 OK length of mobile telephone call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK total cost of call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK m default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK .75m+3.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:21:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session10 2005-10-12 14:22:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:50:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 BUG length of time spent length of time spent
Try the length of the phone call. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:51:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 2 OK length of the moblie telephone call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:51:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:51:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK total cost of the call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:51:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:51:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK m default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:52:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK .75m+3.5 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:52:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:52:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:52:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:52:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:53:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:53:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:53:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:53:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK c default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:53:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of the order default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:53:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:54:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR .25c *25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:55:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 ERROR .25c+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:55:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 ERROR .25c+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 ERROR 25+c*.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:01.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 INITIAL_HINT 25+c*.25 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:13.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R4C2 1 INITIAL_HINT You are given a value for the cost of the items. Find the total cost of the order. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:14.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R4C2 2 NEXT_HINT You are given a value for the cost of the items. Find the total cost of the order by calculating 0.75 times the cost of the items plus 25. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 OK .75c+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:56:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:57:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:57:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:58:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:58:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:59:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C1 1 OK cell phone time used next month default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:59:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:59:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C1 1 OK m default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:59:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 1 OK amount of the next bill default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 13:59:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C2 1 OK $ default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:00:17.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 1 INITIAL_HINT Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:00:19.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 2 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:00:26.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:00:29.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 4 NEXT_HINT Write an expression that means the same thing as -4.65 dollars plus 0.19 times the cellular phone time used next month. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:00:43.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R3C2 5 NEXT_HINT Enter -4.65 plus 0.19M HINT 5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:01:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 6 OK .19m-4.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:01:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R4C1 1 OK 31 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:01:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R5C1 1 OK 75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:01:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C2 1 OK 23.85 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:01:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C2 1 OK 15 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 1 ERROR 101.05 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 2 ERROR 101.06 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 3 ERROR 101.052 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:27.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 4 INITIAL_HINT 101.052 23.85 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 23.85 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:29.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 5 NEXT_HINT You know that the expression 0.19M - 4.65 represents balance on the next bill. What value of the cellular phone time used next month will make the general expression 0.19M - 4.65 output the given value of 23.85 dollars? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:33.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 6 NEXT_HINT Since the general expression for balance on the next bill is 0.19M - 4.65 and since balance on the next bill in this question is 23.85, set the two of them equal to find the cellular phone time used next month. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:04:36.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15B R6C1 7 NEXT_HINT Solve the equation 0.19M - 4.65 = 23.85. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:06:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 8 OK 150 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:06:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C1 1 OK 103.42 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:07:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 1 OK number of hours from now default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 1 BUG y+k*d=3 y+k*d=3
Please check to make sure that y+k*d=3 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session11 2005-10-14 14:19:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 y+k*d = 3 strategic 1 ERROR subtract y+k default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:51:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 1 OK number of hours default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:51:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C1 1 OK h default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:52:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C2 1 OK temperature of the liquid default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:52:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:52:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 2 OK degrees celsius default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:53:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 1 ERROR -35-.5h default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:53:51.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R4C2 1 INITIAL_HINT You are given a value for the number of hours from now. Find the temperature of the liquid. HINT 1 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:53:53.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R4C2 2 NEXT_HINT You are given a value for the number of hours from now. Find the temperature of the liquid by calculating -2.5 times the number of hours from now minus 35. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:54:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 2 ERROR -35-.5h default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:54:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 3 OK -2.5h-35 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:56:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R4C1 1 OK 12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:56:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R5C1 1 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:56:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C2 1 OK -100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:56:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:56:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 1 OK 26 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:57:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 ERROR 32.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:57:44.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 2 INITIAL_HINT 32.5 0 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output 0 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:57:47.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 3 NEXT_HINT You know that the expression -35 - 2.5H represents the temperature of the liquid. What value of the number of hours from now will make the general expression -35 - 2.5H output the given value of 0 degrees Celsius? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:58:00.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 4 NEXT_HINT Since the general expression for the temperature of the liquid is -35 - 2.5H and since the temperature of the liquid in this question is 0, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:58:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R7C1 5 NEXT_HINT Solve the equation -35 - 2.5H = 0. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:58:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 6 ERROR -35-2.5h=0 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:58:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 7 ERROR -35-2.5h=0 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:59:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 1 OK -35-2.5h=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:59:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 2 OK -35-2.5H=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:59:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5H = 0 strategic 1 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:59:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5H = 35 strategic 1 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 13:59:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 8 OK -14 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:00:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:00:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 1 OK depth of mine default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:00:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 1 BUG years YEARS
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:01:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 2 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:01:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK m default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:01:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:01:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 1 BUG 1375-9m 1375-9m
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:01:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:01:46.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R4C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -9 times the digging time minus 1375. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:02:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 2 OK -9m-1375 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:02:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 OK 48 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:03:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:03:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 OK -120 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:03:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:03:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 1 BUG 2068 2068
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:03:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 2 OK -2068 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:04:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 1 INITIAL_HINT 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:04:24.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 2 NEXT_HINT You know that the expression -1375 - 9M represents the depth of the mine. What value of the digging time will make the general expression -1375 - 9M output the given value of 0 feet? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:04:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1375 - 9M and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:04:40.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 4 NEXT_HINT Solve the equation -1375 - 9M = 0. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:05:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9m=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:05:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 OK -1375-9M=0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:05:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9M = 0 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:06:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9M = 1375 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:06:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B M = -1375/9 strategic 1 BUG rf M = -1375/9 strategic You already solved the equation. M is -1375/9. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:06:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 5 OK -1375/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:07:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 OK -1375-9m=-2068 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:07:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 4 OK -1375-9M=-2068 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:07:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9M = -2068 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:07:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9M = -693 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:07:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 1 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:08:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:08:23.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:08:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:08:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:08:42.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR clt 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:08:59.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 ERROR distribute 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:09:32.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 OK rf 8/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:09:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:01.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(9+0) strategic 1 OK clt 9+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:06.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*9 strategic 1 OK mt -9*9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:17.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7-3)*5 strategic 1 OK clt -7-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:21.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*5 strategic 1 ERROR clt -10*5 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:27.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*5 strategic 2 OK mt -10*5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:36.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9-4*-1 strategic 1 OK mt 4*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:40.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9-(-4) strategic 1 OK clt -9-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:46.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8*8-5 strategic 1 OK mt 8*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:10:50.0 CYCLE CYCLE ES_02 ES_02-1 EG29 64-5 strategic 1 OK clt 64-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:11:01.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (5+0)*-5 strategic 1 OK clt 5+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:11:04.0 CYCLE CYCLE ES_02 ES_02-1 EG30 5*-5 strategic 1 OK mt 5*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:11:12.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-3*-4 strategic 1 OK mt 3*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:11:17.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-(-12) strategic 1 OK clt -3-(-12) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:11:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-10)*-6 strategic 1 OK clt -8-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:11:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -2*(-6) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 2*-6 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 2*(-6) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:17.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT 2*(-6) You need to combine like terms in (-8-10)*-6. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-10)*-6 strategic 2 ERROR mt (-8-10)*-6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-10)*-6 strategic 3 OK clt -8-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR -12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:12:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 ERROR 2 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 BUG 18*-6 18*-6
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 10 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 11 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 12 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 13 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 14 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 15 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 16 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 17 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 18 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 19 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 20 ERROR 12 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:14:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-10)*-6 strategic 4 ERROR mt (-8-10)*-6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:14:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-10)*-6 strategic 5 OK clt -8-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:14:38.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 21 INITIAL_HINT You need to combine like terms in (-8-10)*-6. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 22 OK -18*-6 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -18*-6 strategic 1 ERROR clt -18*-6 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -18*-6 strategic 2 OK mt -18*-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 23 ERROR 12 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 24 ERROR 24 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 25 ERROR -24 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:15:49.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 26 INITIAL_HINT -24 In the group above, you have [-18]*[-6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 27 OK 108 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-5-9) strategic 1 OK clt -5-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -14 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR (-14 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -9(-14) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9*-14 strategic 1 OK mt -9*-14 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:16:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -47 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 14 ERROR -23 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 15 OK 126 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1*-8-9 strategic 1 ERROR clt -1*-8-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1*-8-9 strategic 2 OK mt -1*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:18:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 8 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 8-9 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 8-9 strategic 1 OK clt 8-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -1 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7+0*-9 strategic 1 OK mt 0*-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -7+0 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7+0 strategic 1 OK clt -7+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -7 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4-3)*6 strategic 1 ERROR mt (4-3)*6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4-3)*6 strategic 2 OK clt 4-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 1*6 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:19:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*6 strategic 1 OK mt 1*6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(7+8) strategic 1 OK clt 7+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 15*-1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 15*-1 strategic 1 ERROR clt 15*-1 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 15*-1 strategic 2 OK mt 15*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -15 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-2*-8 strategic 1 OK mt 2*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 8-16 8-16
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:20:57.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -8-16 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 8+16 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8+16 strategic 1 OK clt 8+16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 24 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6+8*-4 strategic 1 OK mt 8*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -32-6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -32-6 strategic 1 OK clt -32-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 38 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:21:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR 38 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session12 2005-10-19 14:22:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK -38 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:45:51.0 CYCLE CYCLE ES_02 ES_02-2 EG29 2*-2-7 strategic 1 OK mt 2*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:45:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -4-7 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-7 strategic 1 OK clt -4-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 3 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -3 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR 11 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:24.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 5 INITIAL_HINT 11 In the group above, you have [-4]+[-7]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -11 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:46:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3(-8+8) strategic 1 OK clt -8+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:47:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG 0 0
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:47:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -3(0) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:47:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3*0 strategic 1 OK mt -3*0 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:47:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 0 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (3-2)*-8 strategic 1 ERROR mt (3-2)*-8 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (3-2)*-8 strategic 2 OK clt 3-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 1(-8) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-8 strategic 1 OK mt 1*-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -8 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(9-7) strategic 1 OK clt 9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 2(-5) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2*-5 strategic 1 OK mt 2*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:48:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -10 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:09.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (-17-24)*26 = y strategic 1 OK clt -17-24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:18.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -41*26 = y strategic 1 OK mt -41*26 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:29.0 CYCLE CYCLE ES_02 ES_02-3 EG35 -7(-6-7) = y strategic 1 OK clt -6-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:33.0 CYCLE CYCLE ES_02 ES_02-3 EG35 -7*-13 = y strategic 1 OK mt -7*-13 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:42.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -11+25*-42 = x strategic 1 ERROR clt -11+25*-42 = x strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:47.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -11+25*-42 = x strategic 2 OK mt 25*-42 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:49:51.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -11+(-1050) = x strategic 1 OK clt -11+(-1050) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:13.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -7*26-12 strategic 1 OK mt -7*26 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:16.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -182-12 strategic 1 OK clt -182-12 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:26.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = 18*-47-38 strategic 1 OK mt 18*-47 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:30.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = -846-38 strategic 1 OK clt -846-38 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:38.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-6-3)*-6 strategic 1 OK clt -6-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:44.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = -9*-6 strategic 1 OK mt -9*-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:51.0 CYCLE CYCLE ES_02 ES_02-3 EG32B y = 24-1*42 strategic 1 OK mt 1*42 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:50:55.0 CYCLE CYCLE ES_02 ES_02-3 EG32B y = 24-42 strategic 1 OK clt 24-42 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:51:03.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -23(-23-19) strategic 1 OK clt -23-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:52:24.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 BUG 42(-23) 42(-23)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:52:31.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -42(-23) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:52:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -42*-23 strategic 1 OK mt -42*-23 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:53:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 ERROR -65 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:53:03.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 4 ERROR -65 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:53:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 5 ERROR 19 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:53:58.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 6 ERROR -149 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:53:58.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 7 INITIAL_HINT -149 In the group above, you have [-42]*[-23]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:54:09.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 8 OK 966 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:54:18.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = (-17-6)*-49 strategic 1 OK clt -17-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:54:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -23*-49 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:54:46.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = -23*-49 strategic 1 OK mt -23*-49 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:55:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 ERROR -95 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:55:20.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 3 ERROR -121 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:55:57.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 4 OK 1127 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:56:08.0 CYCLE CYCLE ES_02 ES_02-4 EG39B y = -35*-2 strategic 1 OK mt -35*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:56:22.0 CYCLE CYCLE ES_02 ES_02-4 EG39B FinalAnswer strategic 1 ERROR 1090 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:56:32.0 CYCLE CYCLE ES_02 ES_02-4 EG39B FinalAnswer strategic 2 OK 70 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:56:41.0 CYCLE CYCLE ES_02 ES_02-4 EG38A -29*-79 = y strategic 1 OK mt -29*-79 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:56:55.0 CYCLE CYCLE ES_02 ES_02-4 EG38A FinalAnswer strategic 1 OK 2291 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:57:03.0 CYCLE CYCLE ES_02 ES_02-4 EG39C -13*28 = x strategic 1 OK mt -13*28 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:57:29.0 CYCLE CYCLE ES_02 ES_02-4 EG39C FinalAnswer strategic 1 OK -364 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:57:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = -2(-8-2) strategic 1 OK clt -8-2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:58:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK -2(-10) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:58:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = -2*-10 strategic 1 OK mt -2*-10 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:58:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK 20 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 13:59:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+9x = 9 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+9x+6 = 9+6 strategic 1 OK clt -6+9x+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = 9+6 strategic 1 OK clt 9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = 15 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = 15/9 strategic 1 OK rf 9x/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 15/9 strategic 1 OK rf 15/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = 6-5y strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:00:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-6 = 6-5y-6 strategic 1 OK clt 6-5y-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:01:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-6 = -5y strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:01:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9-6)/-5 = -5y/-5 strategic 1 OK rf -5y/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:01:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-9-6)/-5 = y strategic 1 OK rf (-9-6)/-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:01:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-9-6)/5 = y strategic 1 OK clt -9-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:01:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -(-15)/5 = y strategic 1 OK rf -(-15)/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:02:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -1+9y strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:02:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0+1 = -1+9y+1 strategic 1 OK clt -1+9y+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:02:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0+1 = 9y strategic 1 OK clt 0+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:02:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 9y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:02:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/9 = 9y/9 strategic 1 OK rf 9y/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -3+7x strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+3 = -3+7x+3 strategic 1 OK typein 7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+3 = -3+7x+3 strategic 2 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/7 = 7x/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/7 = 7x/7 strategic 2 OK typein -4/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:03:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -9+7x strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:04:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+9 = -9+7x+9 strategic 1 OK typein 7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:04:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+9 = -9+7x+9 strategic 2 OK typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:04:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:04:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/7 = 7x/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:04:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/7 = 7x/7 strategic 2 OK typein 10/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:06:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 8+8x strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:06:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+8x-8 strategic 1 OK typein 8x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:06:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+8x-8 strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:06:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:06:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/8 = 8x/8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:06:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/8 = 8x/8 strategic 2 OK typein 0/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:07:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = y/-2-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+2 = y/-2-2+2 strategic 1 OK clt y/-2-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+2 = y/-2 strategic 1 OK clt -7+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = y/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-2 = y/-2*-2 strategic 1 ERROR clt -5*-2 = y/-2*-2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-2 = y/-2*-2 strategic 2 OK mt y/-2*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-2 = y strategic 1 OK mt -5*-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8+1 = -4 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8+1-1 = -4-1 strategic 1 OK clt x/8+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:08:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8 = -4-1 strategic 1 OK clt -4-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8 = -5 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/8*8 = -5*8 strategic 1 OK mt x/8*8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -5*8 strategic 1 OK mt -5*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = 8+y/3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4-8 = 8+y/3-8 strategic 1 OK clt 8+y/3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4-8 = y/3 strategic 1 OK clt -4-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:09:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12 = y/3 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*3 = y/3*3 strategic 1 OK mt y/3*3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*3 = y strategic 1 OK mt -12*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+(y/-5) = 3 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+(y/-5)+4 = 3+4 strategic 1 OK typein y/-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+(y/-5)+4 = 3+4 strategic 2 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5 = 7 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:10:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*-5 = 7*-5 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-5*-5 = 7*-5 strategic 2 OK typein -35 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = y/2+5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-5 = y/2+5-5 strategic 1 OK typein y/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-5 = y/2+5-5 strategic 2 OK typein -3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = y/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*2 = y/2*2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:11:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*2 = y/2*2 strategic 2 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:12:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/9+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:12:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-6 = y/9+6-6 strategic 1 OK typein y/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:12:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-6 = y/9+6-6 strategic 2 OK typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:12:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = y/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:12:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*9 = y/9*9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:12:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*9 = y/9*9 strategic 2 OK typein -45 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = 10 strategic 1 BUG multiply 4 To remove the coefficient of 4/x, you need to divide. Erase your last step and then divide both sides by 4. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = 10 strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x*x = 10x strategic 1 ERROR clt 4/x*x = 10x strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x*x = 10x strategic 2 OK mt 4/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = 10x strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/10 = 10x/10 strategic 1 ERROR mt 4/10 = 10x/10 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/10 = 10x/10 strategic 2 OK rf 10x/10 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/10 = x strategic 1 BUG rds 4/10 = x strategic You already solved the equation. x is 4/10. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:13:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/10 = x strategic 2 OK rf 4/10 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = -8 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y*y = -8y strategic 1 OK mt -5/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = -8y strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/-8 = -8y/-8 strategic 1 OK rf -8y/-8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = 7/x*x strategic 1 OK mt 7/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = 7 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:14:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x/-2 = 7/-2 strategic 1 OK rf -2x/-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = -2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = -2/x*x strategic 1 OK mt -2/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x = -2 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2x/-2 = -2/-2 strategic 1 OK rf -2x/-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -2/-2 strategic 1 OK rf -2/-2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/x = 9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:15:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/x*x = 9x strategic 1 OK typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/x*x = 9x strategic 2 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/9 = 9x/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/9 = 9x/9 strategic 2 ERROR typein 1/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/9 = 9x/9 strategic 3 OK typein 6/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/9 = x strategic 1 OK rf 6/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR 6/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:16:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 ERROR 6/9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:17:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y = 3 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:17:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = 3y strategic 1 OK typein 3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:17:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = 3y strategic 2 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:17:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:17:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/3 = 3y/3 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:17:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/3 = 3y/3 strategic 2 OK typein -3/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:18:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/3 = y strategic 1 OK rf -3/3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:18:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x = -7 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:18:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = -7x strategic 1 BUG typein -7 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:18:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = -7x strategic 2 OK typein -7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:18:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = -7x strategic 3 ERROR typein 8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:18:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/x*x = -7x strategic 4 OK typein 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:19:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:19:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/-7 = -7x/-7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:19:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8/-7 = -7x/-7 strategic 2 OK typein 8/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:19:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:19:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2/x*x strategic 1 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:19:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2/x*x strategic 2 BUG typein -2 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2/x*x strategic 3 OK typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -2 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -2/-2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -2/-2 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 8 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y*y = 8y strategic 1 OK typein 8y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y*y = 8y strategic 2 OK typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10 = 8y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:20:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/8 = 8y/8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6O31vedZbI session13 2005-10-21 14:21:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/8 = 8y/8 strategic 2 OK typein 10/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:25:51.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:26:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:26:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:26:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 ERROR subtract 32 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:26:23.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 BUG subtract 2 In 2y, y is multiplied by 2. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:28:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:28:12.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR clt 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:28:28.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 ERROR mt 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:28:43.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:29:05.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6+6)*-10 strategic 1 OK clt -6+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:29:13.0 CYCLE CYCLE ES_02 ES_02-1 EG30 0*-10 strategic 1 OK mt 0*-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:29:38.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-6-2) strategic 1 OK clt -6-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:29:41.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10*-8 strategic 1 OK mt -10*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:29:57.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -10*-3-5 strategic 1 OK mt -10*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:00.0 CYCLE CYCLE ES_02 ES_02-1 EG29 30-5 strategic 1 OK clt 30-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:08.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-5*-4 strategic 1 OK mt 5*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:14.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-(-20) strategic 1 OK clt -1-(-20) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:27.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2(-3-2) strategic 1 OK clt -3-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2*-5 strategic 1 OK mt 2*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:37.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+0*-5 strategic 1 OK mt 0*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:40.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+0 strategic 1 OK clt -1+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:48.0 CYCLE CYCLE ES_02 ES_02-1 EG29 1*8-1 strategic 1 OK mt 1*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:30:51.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8-1 strategic 1 OK clt 8-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:31:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-1-1) strategic 1 OK clt -1-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:31:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -1-2 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:31:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -1-2 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-1-1) strategic 2 OK clt -1-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:32:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 BUG -2 -2
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:32:18.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -2 You need to combine like terms in -1(-1-1). HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:32:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-1-1) strategic 3 OK clt -1-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:32:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -1*-2 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:32:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1*-2 strategic 1 OK mt -1*-2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 2 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (2-8)*1 strategic 1 OK clt 2-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -6*1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -6*1 strategic 1 OK mt -6*1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-1*-6 strategic 1 ERROR clt 3-1*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-1*-6 strategic 2 OK mt 1*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:33:57.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 2*6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:34:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 2*-6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:34:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 2 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:34:16.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 2 You need to perform multiplication in 3-1*-6. HINT 1 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:34:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 2*-6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:34:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 BUG 9 9
Just multiply -1*-6. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:35:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-1*-6 strategic 3 ERROR clt 3-1*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:36:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-1*-6 strategic 4 OK mt 1*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:36:56.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK 3+6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3+6 strategic 1 OK clt 3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK 9 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5+9*-8 strategic 1 OK mt 9*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -5+72 -5+72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG -5+72 -5+72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -5+72 -5+72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:37:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 BUG -5+72 -5+72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:38:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5+9*-8 strategic 2 OK mt 9*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:39:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -5-72 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:39:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-72 strategic 1 OK clt -5-72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:39:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -77 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:39:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*1+6 strategic 1 OK mt -2*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -2+6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2+6 strategic 1 OK clt -2+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 4 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-5)*-5 strategic 1 OK clt -9-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -14*-5 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -14*-5 strategic 1 OK mt -14*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:40:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 70 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:41:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-3*4 strategic 1 OK mt 3*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:41:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -8-12 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:41:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-12 strategic 1 OK clt -8-12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:41:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -20 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:42:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 6(-3-5) strategic 1 OK clt -3-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:42:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 6*-8 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:42:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 6*-8 strategic 1 OK mt 6*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:42:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -483. default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:42:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -48 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:43:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 5-1*-2 strategic 1 OK mt 1*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:43:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 5+2 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:43:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 5+2 strategic 1 OK clt 5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:43:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 7 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:44:17.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-8-6)*-4 strategic 1 OK clt -8-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:44:23.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = -14*-4 strategic 1 OK mt -14*-4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:44:41.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 14(-11-3) strategic 1 OK clt -11-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:44:44.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 14*-14 strategic 1 OK mt 14*-14 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:44:54.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 23-15*-2 strategic 1 ERROR clt x = 23-15*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:44:57.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 23-15*-2 strategic 2 OK mt 15*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:03.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 23-(-30) strategic 1 ERROR mt x = 23-(-30) strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:07.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 23-(-30) strategic 2 OK clt 23-(-30) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:20.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -20-6*-16 = x strategic 1 ERROR clt -20-6*-16 = x strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:23.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -20-6*-16 = x strategic 2 OK mt 6*-16 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:30.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -20-(-96) = x strategic 1 ERROR mt -20-(-96) = x strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:34.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -20-(-96) = x strategic 2 OK clt -20-(-96) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:41.0 CYCLE CYCLE ES_02 ES_02-3 EG36 6-2 = x strategic 1 OK clt 6-2 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:53.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = 11-49*40 strategic 1 OK mt 49*40 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:45:56.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = 11-1960 strategic 1 OK clt 11-1960 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:46:05.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -2-6*-9 strategic 1 ERROR clt y = -2-6*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:46:09.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -2-6*-9 strategic 2 OK mt 6*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:46:13.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -2-(-54) strategic 1 OK clt -2-(-54) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:46:23.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = -14+3*-16 strategic 1 ERROR clt x = -14+3*-16 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:46:28.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = -14+3*-16 strategic 2 OK mt 3*-16 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:46:32.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = -14+(-48) strategic 1 OK clt -14+(-48) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:19.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -6-39*-4 = x strategic 1 OK mt 39*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:25.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -6-(-156) = x strategic 1 OK clt -6-(-156) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:34.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -23+13*-44 strategic 1 OK mt 13*-44 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:37.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -23+(-572) strategic 1 OK clt -23+(-572) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:49.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -12(-34-1) = y strategic 1 ERROR mt -12(-34-1) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:53.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -12(-34-1) = y strategic 2 OK clt -34-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:47:57.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -12*-35 = y strategic 1 OK mt -12*-35 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:14.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (-48+24)*-32 = y strategic 1 OK clt -48+24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:17.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -24*-32 = y strategic 1 ERROR clt -24*-32 = y strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:20.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -24*-32 = y strategic 2 OK mt -24*-32 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:34.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (-1-26)*-25 strategic 1 OK clt -1-26 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:37.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = -27*-25 strategic 1 OK mt -27*-25 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:46.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -6-1*-8 strategic 1 OK mt 1*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:48:49.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -6-(-8) strategic 1 OK clt -6-(-8) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:49:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 29(8-45) strategic 1 ERROR mt x = 29(8-45) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:49:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 29(8-45) strategic 2 OK clt 8-45 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:49:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 29*-37 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:49:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 29*-37 strategic 1 OK mt 29*-37 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:50:09.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -1073 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:50:27.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (14-27)*-23 = y strategic 1 OK clt 14-27 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:50:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -13*-23 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session0 2005-09-09 12:51:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -13*-23 = y strategic 1 OK mt -13*-23 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:14:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-37+11)*43 = y strategic 1 OK clt -37+11 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:15:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -26*43 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:15:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -26*43 = y strategic 1 OK mt -26*43 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:15:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -1118 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:15:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = 3(6-6) strategic 1 OK clt 6-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:15:53.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK 3*0 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:15:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = 3*0 strategic 1 OK mt 3*0 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:16:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:17:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x = 4 strategic 1 ERROR clt -6+6x = 4 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:17:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x = 4 strategic 2 ERROR mt -6+6x = 4 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:17:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x = 4 strategic 3 BUG divide 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:17:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x = 4 strategic 4 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x = 4 strategic 5 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:20.0 HINT HINT ES_02 ES_02-5 EG40 -6+6x = 4 strategic 6 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:21.0 HINT HINT ES_02 ES_02-5 EG40 -6+6x = 4 strategic 7 NEXT_HINT -6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:24.0 HINT HINT ES_02 ES_02-5 EG40 -6+6x = 4 strategic 8 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x = 4 strategic 9 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+6x+6 = 4+6 strategic 1 OK clt -6+6x+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 4+6 strategic 1 OK clt 4+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:18:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 10 strategic 1 BUG subtract 6 In 6x, x is multiplied by 6. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:19:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 10 strategic 2 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:19:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 10/6 strategic 1 OK rf 6x/6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:19:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -9y-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:19:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+7 = -9y-7+7 strategic 1 OK clt -4+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:20:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -9y-7+7 strategic 1 OK clt -9y-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:20:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -9y strategic 1 BUG add 9 In -9y, y is multiplied by -9. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:21:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -9y strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:21:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/-9 = -9y/-9 strategic 1 ERROR rds 3/-9 = -9y/-9 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:21:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/-9 = -9y/-9 strategic 2 OK rf 3/-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:21:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/3 = -9y/-9 strategic 1 OK rf -9y/-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:22:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y-1 = -4 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:22:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y-1+1 = -4+1 strategic 1 OK clt -10y-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:22:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y = -4+1 strategic 1 OK clt -4+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:22:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y = -3 strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:22:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y/-10 = -3/-10 strategic 1 OK rf -10y/-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -3/-10 strategic 1 OK rf -3/-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 8x-9 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+9 = 8x-9+9 strategic 1 OK clt 9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = 8x-9+9 strategic 1 OK clt 8x-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 18/8 = 8x/8 strategic 1 OK rf 18/8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:23:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9/4 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 7x-8 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1+8 = 7x-8+8 strategic 1 OK clt -1+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = 7x-8+8 strategic 1 OK clt 7x-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/7 = 7x/7 strategic 1 OK rf 7/7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:24:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-6 = 0 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:25:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0+6 = 3x-6+6 strategic 1 OK typein 3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:25:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0+6 = 3x-6+6 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:25:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:25:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/3 = 3x/3 strategic 1 OK typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:25:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/3 = 3x/3 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -1y+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-8 = -1y+8-8 strategic 1 BUG typein -5 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-8 = -1y+8-8 strategic 2 OK typein -13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-8 = -1y+8-8 strategic 3 OK typein -1y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -13 = -1y strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -13/-1 = -1y/-1 strategic 1 OK typein y default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:26:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -13/-1 = -1y/-1 strategic 2 OK typein 13 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = -4x+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 1 OK typein -4x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -4x strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 2 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 3 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:27:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 4 BUG typein -4 -4 is equal to 1 times -4. You need to calculate 1 divided by -4. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 5 OK typein -.25 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-10x = -9 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-10x-5 = -9-5 strategic 1 OK typein -10x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5-10x-5 = -9-5 strategic 2 OK typein -14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10x = -14 strategic 1 BUG add 10 In -10x, x is multiplied by -10. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10x = -14 strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:28:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10x/-10 = -14/-10 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:29:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10x/-10 = -14/-10 strategic 2 OK typein 1.4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:30:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+(x/-9) = 2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:30:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+(x/-9)+2 = 2+2 strategic 1 OK clt -2+(x/-9)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:30:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 2+2 strategic 1 OK clt 2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:30:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 1 BUG divide -9 To remove the coefficient of x/-9, you need to divide by 1/-9 or multiply by -9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:30:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 2 ERROR add 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:30:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 3 ERROR divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:31:05.0 HINT HINT ES_02 ES_02-7 EG41 x/-9 = 4 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:31:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 5 ERROR add 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:31:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 6 BUG multiply 9 Multiplying by 9 will leave -x. It is better to multiply by -9, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:31:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 7 OK rf x/-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:32:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/9 = 4 strategic 1 ERROR divide 9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:33:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 8 BUG multiply 9 Multiplying by 9 will leave -x. It is better to multiply by -9, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:33:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 4 strategic 9 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:34:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = 4*-9 strategic 1 ERROR clt x/-9*-9 = 4*-9 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:34:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = 4*-9 strategic 2 OK mt x/-9*-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:34:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 4*-9 strategic 1 OK mt 4*-9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:36:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+y/6 = 10 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:43:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+y/6-6 = 10-6 strategic 1 OK clt 6+y/6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:43:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6 = 10-6 strategic 1 OK clt 10-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:44:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6 = 4 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:44:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6*6 = 4*6 strategic 1 ERROR clt y/6*6 = 4*6 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:44:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6*6 = 4*6 strategic 2 OK mt y/6*6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:44:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 4*6 strategic 1 OK mt 4*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:45:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = y/-7+10 strategic 1 ERROR clt 7 = y/-7+10 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:45:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = y/-7+10 strategic 2 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:45:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-7 = (y/-7+10)*-7 strategic 1 ERROR clt 7*-7 = (y/-7+10)*-7 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:45:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-7 = (y/-7+10)*-7 strategic 2 OK mt 7*-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:45:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -49 = (y/-7+10)*-7 strategic 1 ERROR clt -49 = (y/-7+10)*-7 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:46:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -49 = (y/-7+10)*-7 strategic 2 ERROR mt -49 = (y/-7+10)*-7 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:47:00.0 HINT HINT ES_02 ES_02-7 EG41 -49 = (y/-7+10)*-7 strategic 3 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:48:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = y/-7+10 strategic 3 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:48:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7-10 = y/-7+10-10 strategic 1 OK clt 7-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:48:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = y/-7+10-10 strategic 1 OK clt y/-7+10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:48:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = y/-7 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:48:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3*-7 = y/-7*-7 strategic 1 OK mt -3*-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:48:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 21 = y/-7*-7 strategic 1 OK mt y/-7*-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:49:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = -10+y/10 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:49:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+10 = -10+y/10+10 strategic 1 OK clt -4+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:49:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = -10+y/10+10 strategic 1 OK clt -10+y/10+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:49:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 1 ERROR subtract 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:49:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 2 BUG divide 10 To remove the coefficient of y/10, you need to divide by 1/10 or multiply by 10. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:50:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 3 BUG divide 10 To remove the coefficient of y/10, you need to divide by 1/10 or multiply by 10. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:50:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 4 ERROR subtract 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:50:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 5 ERROR rf 6 = y/10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:50:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 6 ERROR rds 6 = y/10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:51:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/10 strategic 7 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:51:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*10 = y/10*10 strategic 1 OK mt 6*10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session1 2005-09-14 12:51:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 60 = y/10*10 strategic 1 OK mt y/10*10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:21:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7+5 = -8 strategic 1 ERROR clt y/-7+5 = -8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:21:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7+5 = -8 strategic 2 ERROR subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:21:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7+5 = -8 strategic 3 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:21:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7+5 = -8 strategic 4 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:22:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (y/-7+5)*-7 = -8*-7 strategic 1 ERROR clt (y/-7+5)*-7 = -8*-7 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:22:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (y/-7+5)*-7 = -8*-7 strategic 2 OK mt -8*-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:23:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7+5 = -8 strategic 5 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:24:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7+5-5 = -8-5 strategic 1 OK clt y/-7+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:24:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7 = -8-5 strategic 1 OK clt -8-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:24:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7 = -13 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:24:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7*-7 = -13*-7 strategic 1 ERROR clt y/-7*-7 = -13*-7 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:25:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-7*-7 = -13*-7 strategic 2 OK mt y/-7*-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:25:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -13*-7 strategic 1 OK mt -13*-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:25:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5+9 = -7 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:25:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5+9-9 = -7-9 strategic 1 OK clt y/-5+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:25:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5 = -7-9 strategic 1 OK clt -7-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5 = -16 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5*-5 = -16*-5 strategic 1 ERROR clt y/-5*-5 = -16*-5 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5*-5 = -16*-5 strategic 2 OK mt y/-5*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -16*-5 strategic 1 OK mt -16*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = y/4+4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10-4 = y/4+4-4 strategic 1 OK clt 10-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:26:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/4+4-4 strategic 1 OK clt y/4+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:27:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:27:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*4 = y/4*4 strategic 1 ERROR clt 6*4 = y/4*4 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:27:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*4 = y/4*4 strategic 2 OK mt 6*4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:27:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 24 = y/4*4 strategic 1 OK mt y/4*4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:27:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = y/-4-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:28:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = y/-4-5+5 strategic 1 ERROR typein y--4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:28:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = y/-4-5+5 strategic 2 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:28:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = y/-4-5+5 strategic 3 ERROR typein yy--4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:28:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = y/-4-5+5 strategic 4 ERROR typein y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:30:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = y/-4-5+5 strategic 5 OK typein y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:30:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = y/-4 strategic 1 ERROR multiply -47 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:31:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = y/-4 strategic 2 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:31:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-4 = y/-4*-4 strategic 1 BUG typein 44 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:31:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-4 = y/-4*-4 strategic 2 OK typein -44 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:31:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-4 = y/-4*-4 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:32:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = y/9+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:32:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-6 = y/9+6-6 strategic 1 OK typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:32:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-6 = y/9+6-6 strategic 2 OK typein y/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:33:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -16 = y/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:33:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -16*9 = y/9*9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:34:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -16*9 = y/9*9 strategic 2 OK typein 9*-16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:34:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9*-16 = y strategic 1 OK mt 9*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:34:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -144 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:35:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-6+8 = -8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:35:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-6+8-8 = -8-8 strategic 1 OK typein y/-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:35:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-6+8-8 = -8-8 strategic 2 OK typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:35:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-6 = -16 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:36:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-6*-6 = -16*-6 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:37:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-6*-6 = -16*-6 strategic 2 OK typein 96 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:37:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -1+y/8 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:37:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+1 = -1+y/8+1 strategic 1 BUG typein 6 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:37:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+1 = -1+y/8+1 strategic 2 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:38:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+1 = -1+y/8+1 strategic 3 OK typein y/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:38:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = y/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:39:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*8 = y/8*8 strategic 1 OK typein 56 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:39:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7*8 = y/8*8 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:39:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = -10+x/10 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:39:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+10 = -10+x/10+10 strategic 1 OK typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:39:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+10 = -10+x/10+10 strategic 2 ERROR typein y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:39:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+10 = -10+x/10+10 strategic 3 ERROR typein y/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:40:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+10 = -10+x/10+10 strategic 4 OK typein x/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:41:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12 = x/10 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:41:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*10 = x/10*10 strategic 1 OK typein 120 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:41:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*10 = x/10*10 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:43:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4-9 = -3 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:43:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4-9+9 = -3+9 strategic 1 OK typein x/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:43:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4-9+9 = -3+9 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4 = 6 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4*-4 = 6*-4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-4*-4 = 6*-4 strategic 2 OK typein -24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 4/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 4/x*x strategic 1 OK mt 4/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 4 strategic 1 ERROR add 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:44:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 4 strategic 2 BUG subtract 3 In 3x, x is multiplied by 3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:45:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 4 strategic 3 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:45:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x/3 = 4/3 strategic 1 OK rf 3x/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:45:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -7/y strategic 1 BUG multiply -7 To remove the coefficient of -7/y, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:45:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -7/y strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:45:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y = -7/y*y strategic 1 OK mt -7/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y = -7 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y/-7 = -7/-7 strategic 1 OK rf -7y/-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -7/-7 strategic 1 OK rf -7/-7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y = -8 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y*y = -8y strategic 1 OK mt 5/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -8y strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-8 = -8y/-8 strategic 1 OK rf 5/-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:46:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/8 = -8y/-8 strategic 1 OK rf -8y/-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:47:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y = -2 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:47:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/y*y = -2y strategic 1 OK mt 2/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:49:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:49:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-2 = -2y/-2 strategic 1 OK rf 2/-2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:49:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -2y/-2 strategic 1 OK rf -2y/-2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:49:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = 5/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session2 2005-09-16 12:50:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5x = 5/x*x strategic 1 ERROR typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:49:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y = -1 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:51:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = -1y strategic 1 OK typein -4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:51:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = -1y strategic 2 BUG typein y You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:51:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = -1y strategic 3 OK typein -1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:51:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = -1y strategic 1 OK multiply -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:52:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4*-1 = -1y*-1 strategic 1 OK typein 4 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session3 2005-09-21 12:52:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4*-1 = -1y*-1 strategic 2 OK typein y default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:24:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y = 2 strategic 1 BUG multiply 6 To remove the coefficient of 6/y, you need to divide. Erase your last step and then divide both sides by 6. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:24:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y = 2 strategic 2 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 2y strategic 1 OK typein 2Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 2y strategic 2 ERROR typein 6Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 2y strategic 3 ERROR typein 66Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 2y strategic 4 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/2 = 2y/2 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:25:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/2 = 2y/2 strategic 2 OK typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:26:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = 9 strategic 1 ERROR divide -7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:26:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = 9 strategic 2 ERROR divide X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:26:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = 9 strategic 3 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:26:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = 9x strategic 1 OK typein 9X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:26:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = 9x strategic 2 ERROR typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:26:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = 9x strategic 3 BUG typein 7 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:27:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = 9x strategic 4 OK typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:28:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:28:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/9 = 9x/9 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6W08a98ZQV session4 2005-09-23 12:29:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/9 = 9x/9 strategic 2 OK typein -.7777 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE 6bJ4auIa8L session18 2005-10-19 14:02:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:02:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:02:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:02:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:03:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 BUG 30 30
You entered 30 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:03:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:04:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 855.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:04:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:04:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50*n+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:05:05.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR GeneralHelpGoalNode 1 NEXT_HINT FEEDBACK TEXT UNKNOWN HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:05:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR GeneralHelpGoalNode 2 NEXT_HINT FEEDBACK TEXT UNKNOWN HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:06:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG 25.5n+90.75=855.75 25.5n+90.75=855.75
Please check to make sure that 25.5n+90.75=855.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:07:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:08:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 ERROR 3 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 INITIAL_HINT 3 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 NEXT_HINT You know that the expression 25.5N + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5N + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:25.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5N + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:28.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 NEXT_HINT Solve the equation 25.5N + 90.75 = 192.75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:09:58.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 INITIAL_HINT 3 Solve the equation 25.5N + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5n+90.75=192.75 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 OK 25.5N+90.75=192.75 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N+90.75 = 192.75 strategic 1 ERROR mt 25.5N+90.75 = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:37.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N+90.75 = 192.75 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:37.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N+90.75 = 192.75 strategic 3 NEXT_HINT 90.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 90.75 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N+90.75 = 192.75 strategic 4 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:10:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 102 strategic 1 ERROR clt 25.5N = 102 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:11:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 102 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:11:01.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 102 strategic 3 NEXT_HINT 25.5N is 25.5 times N. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:11:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 102 strategic 4 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:11:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:11:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 4 BUG 25.5N+90.75=2385.75 25.5N+90.75=2385.75
Please check to make sure that 25.5N+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:11:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:12:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 2295 strategic 1 ERROR divide 15.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:12:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 2295 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:12:12.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 2295 strategic 3 NEXT_HINT 25.5N is 25.5 times N. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:12:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5N = 2295 strategic 4 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:12:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:12:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 OK amount of carpet default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 BUG the total cost of carpet the total cost of carpet
Try the cost of the carpet. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 2 BUG total cost of carpet total cost of carpet
Try the cost of the carpet. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 3 OK the cost of carpet default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 BUG yards yards
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 2 OK square yards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:13:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:14:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 ERROR 30/2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:14:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 2 INITIAL_HINT 30/2 Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:14:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 3 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:14:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 4 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:14:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 5 ERROR thirty and one half default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:14:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 6 ERROR 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:15:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 7 ERROR 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:15:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 8 OK 30.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:15:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 ERROR 279. default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:15:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 2 OK 279.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:15:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 ERROR 581 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 2 ERROR 581.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 3 ERROR 583.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R7C2 4 INITIAL_HINT 583.00 Read the problem statement. What information is given in question 4 about the cost of the carpet? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 5 ERROR 558. default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 6 OK 558.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C2 1 OK 13*13.95 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:16:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C2 1 OK 30.5*13.95 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:17:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK n*13.95 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:17:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 1 OK n*13.95=279 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:17:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 2 OK N*13.95=279 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:17:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A N*13.95 = 279 strategic 1 ERROR mt N*13.95 = 279 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:17:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A N*13.95 = 279 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:17:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A N*13.95 = 279 strategic 3 NEXT_HINT N*13.95 is 13.95 times N. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:18:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A N*13.95 = 279 strategic 4 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:18:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:18:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 3 OK N*13.95=558 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:18:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A N*13.95 = 558 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session18 2005-10-19 14:18:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:44:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 OK amount of money spent on long distance default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:45:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK total number of points default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:45:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:45:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:46:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C2 1 ERROR 45.+5000 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:46:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C2 2 BUG 5000 5000
Total number of travel points starts at 5,000. How much does it change when the amount spent on long distance is 45? BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:46:54.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R4C2 3 INITIAL_HINT 5000 You are given a value for the amount spent on long distance. Find total number of travel points. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:46:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R4C2 4 NEXT_HINT You are given a value for the amount spent on long distance. Find total number of travel points by calculating 5 times the amount spent on long distance plus 5000. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:47:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 OK n*5+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session19 2005-10-20 13:47:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:43:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 OK 27.50*12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:43:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 OK 46000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:43:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:45:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 GeneralHelpGoalNode 1 NEXT_HINT You are given a value for the amount spent on long distance. Find total number of travel points by calculating 5 times the amount spent on long distance plus 5000. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:50:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R7C1 1 INITIAL_HINT 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:00.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R7C1 2 NEXT_HINT You know that the expression 5N + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5N + 5000 output the given value of 27000 points? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R7C1 3 NEXT_HINT Since the general expression for total number of travel points is 5N + 5000 and since total number of travel points in this question is 27000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:07.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R7C1 4 NEXT_HINT Solve the equation 5N + 5000 = 27000. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 1 OK 5n+5000=46000 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 2 OK 5N+5000=46000 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N+5000 = 46000 strategic 1 ERROR rf 5N+5000 = 46000 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N+5000 = 46000 strategic 2 ERROR mt 5N+5000 = 46000 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5N+5000 = 46000 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:55.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5N+5000 = 46000 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:51:56.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5N+5000 = 46000 strategic 5 NEXT_HINT 5000 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N+5000 = 46000 strategic 6 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N = 41000 strategic 1 ERROR mt 5N = 41000 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5N = 41000 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:10.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 5N = 41000 strategic 3 NEXT_HINT 5N is 5 times N. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N = 41000 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 ERROR 82000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 2 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 3 OK 5N+5000=27000 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N+5000 = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:52:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 5N = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:53:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 5 ERROR 4.400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:53:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 6 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:53:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK area of construction default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK cost of construction default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK square feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 BUG 1750 1750
You entered 1,750 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 2 BUG 1750 1750
You entered 1,750 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 3 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:54:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 ERROR 150 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:55:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 2 OK 150+85 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:55:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C2 1 OK 1750*39.50 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:55:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 OK n*39.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 1 OK 177750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C2 1 OK 18762.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A GeneralHelpGoalNode 1 NEXT_HINT 5N is 5 times N. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 1 INITIAL_HINT 177750 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 177750 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 2 NEXT_HINT You know that the expression 39.5N represents the cost of construction. What value of the area to be constructed will make the general expression 39.5N output the given value of 177750 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 3 NEXT_HINT Since the general expression for the cost of construction is 39.5N and since the cost of construction in this question is 177750, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:56:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 4 NEXT_HINT Solve the equation 39.5N = 177750. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:57:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 1 OK 39.5n=177750 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:57:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 2 OK 39.5N=177750 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:57:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5N = 177750 strategic 1 ERROR mt 39.5N = 177750 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session20 2005-10-21 08:57:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A 39.5N = 177750 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:05:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 1 INITIAL_HINT 177750 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 177750 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:05:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 2 NEXT_HINT You know that the expression 39.5N represents the cost of construction. What value of the area to be constructed will make the general expression 39.5N output the given value of 177750 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:05:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 3 NEXT_HINT Since the general expression for the cost of construction is 39.5N and since the cost of construction in this question is 177750, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:05:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 4 NEXT_HINT Solve the equation 39.5N = 177750. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:05:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 1 BUG 35.5n=177750 35.5n=177750
Please check to make sure that 35.5n=177750 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A 35.5n = 177750 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A 35.5n = 177750 strategic 2 NEXT_HINT 35.5n is 35.5 times n. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 5 INITIAL_HINT You know that the expression 39.5N represents the cost of construction. What value of the area to be constructed will make the general expression 39.5N output the given value of 177750 dollars? HINT 2 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 6 NEXT_HINT Since the general expression for the cost of construction is 39.5N and since the cost of construction in this question is 177750, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R6C1 7 NEXT_HINT Solve the equation 39.5N = 177750. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 2 OK 39.5n=177750 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:06:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 3 OK 39.5N=177750 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:07:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5N = 177750 strategic 1 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:07:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 8 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:07:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 4 BUG 39.5N=18762 39.5N=18762
Please check to make sure that 39.5N=18762 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:07:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 5 BUG 39.5N=18762 39.5N=18762
Please check to make sure that 39.5N=18762 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:07:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A 39.5N = 18762 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:07:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R7C1 1 INITIAL_HINT 18762.5 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 18762.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R7C1 2 NEXT_HINT You know that the expression 39.5N represents the cost of construction. What value of the area to be constructed will make the general expression 39.5N output the given value of 18762.5 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R7C1 3 NEXT_HINT Since the general expression for the cost of construction is 39.5N and since the cost of construction in this question is 18762.5, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R7C1 4 NEXT_HINT Solve the equation 39.5N = 18762.5. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 6 BUG 39.5N=18762 39.5N=18762
Please check to make sure that 39.5N=18762 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A 39.5N = 18762 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5N = 18762 strategic 3 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:08:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 5 ERROR 474.9873 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:09:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10A R7C1 6 INITIAL_HINT 474.9873 Solve the equation 39.5N = 18762.5. HINT 4 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:09:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 7 OK 39.5N=18762.5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:09:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5N = 18762.5 strategic 1 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:09:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 7 OK 475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:10:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:10:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK distance the jet has flown default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:10:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:10:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:10:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:10:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 3.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:11:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 1.3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:11:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 1 INITIAL_HINT Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:11:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 2 NEXT_HINT You know that the time is 30 minutes. Convert 30 minutes to hours. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:11:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 3 NEXT_HINT There are 60 minutes in a hour. What is 30 minutes in hours? HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session21 2005-10-21 14:11:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 4 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 30 minutes is 0.5 hours. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:17:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR DIE DIE DIE DIE DIE DIE DIE default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:17:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 666 SATAN yesss!~@#` default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:17:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 3 INITIAL_HINT 666 SATAN yesss!~@#` Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:17:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 4 ERROR 3.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 5 INITIAL_HINT 3.5 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 6 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 7 ERROR 1.3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 1 INITIAL_HINT Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R5C1 2 NEXT_HINT You know that the time is 30 minutes. Convert 30 minutes to hours. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 8 INITIAL_HINT 1.3 Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:18:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 9 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:19:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 3 BUG 30 30
30 is the the time in minutes, but we want to use hours. How many hours are in 30 minutes? BUG default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:19:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 ERROR 30 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:19:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 ERROR , default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:20:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 OK .5 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:21:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C2 1 INITIAL_HINT You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:21:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C2 2 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:22:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 OK 1300*n+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:22:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 1 INITIAL_HINT 1.3 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:22:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 2 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:22:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 3 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:22:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 4 ERROR 1.3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:22:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 3 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:23:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 2 OK 3500/2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:23:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 ERROR 35000 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:24:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 4 ERROR 1425/2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:24:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C2 5 INITIAL_HINT 1425/2 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:24:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 5 INITIAL_HINT 1.3 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:25:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 6 OK 1.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 BUG 13000n+775=1750 13000n+775=1750
Please check to make sure that 13000n+775=1750 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 1 INITIAL_HINT 30 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 2 NEXT_HINT You know that the expression 1300N + 775 represents the total distance it has flown. What value of the time will make the general expression 1300N + 775 output the given value of 1750 miles? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1300N + 775 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 4 NEXT_HINT Solve the equation 1300N + 775 = 1750. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 OK 1300n+775=1750 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 3 OK 1300N+775=1750 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:27:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300N+775 = 1750 strategic 1 ERROR rf 1300N+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300N+775 = 1750 strategic 2 ERROR rds 1300N+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300N+775 = 1750 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300N+775 = 1750 strategic 4 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 1 ERROR rf N+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 2 ERROR clt N+31/52 = 35/26 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:28:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 4 NEXT_HINT 31/52 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 31/52 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 5 BUG subtract 35/26 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 6 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 7 NEXT_HINT 31/52 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 31/52 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 8 NEXT_HINT You can subtract 31/52 from both sides of the equation to eliminate the constant value of 31/52 (31/52 - 31/52 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 9 ERROR subtract 31.52 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 10 ERROR subtract 3152 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:29:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C N+31/52 = 35/26 strategic 11 OK subtract 31/52 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:30:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 5 OK 3/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:30:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 2 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:30:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 4 BUG 1300N+775=3500 1300N+775=3500
Please check to make sure that 1300N+775=3500 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:31:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 1 INITIAL_HINT , Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:31:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 2 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:31:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 3 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:31:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 4 ERROR 1.75+.5+.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:31:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 5 INITIAL_HINT 1.75+.5+.75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:33:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 5 BUG 775+n=3500 775+n=3500
Please check to make sure that 775+n=3500 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:33:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 6 BUG 775n=3500 775n=3500
Please check to make sure that 775n=3500 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:33:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 6 BUG .75 .75
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:34:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 7 INITIAL_HINT .75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:34:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 7 BUG 1300n+75=3500 1300n+75=3500
Please check to make sure that 1300n+75=3500 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:35:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 8 INITIAL_HINT .75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:35:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 9 ERROR 2.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 10 ERROR 3.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:35:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 11 ERROR 1.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:35:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 12 INITIAL_HINT 1.25 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:35:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 13 ERROR 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:36:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 14 ERROR 13000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:38:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 8 BUG 3500-1300=n 3500-1300=n
Please check to make sure that 3500-1300=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:38:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 15 INITIAL_HINT 13000 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:39:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 16 ERROR 775+3500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 17 BUG 0.75 0.75
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:41:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 9 BUG 0.75+0.51+0.75=n 0.75+0.51+0.75=n
Please check to make sure that 0.75+0.51+0.75=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:42:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 18 INITIAL_HINT 0.75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 10 BUG 3500/1300=n 3500/1300=n
Please check to make sure that 3500/1300=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:43:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 3500/1300 = n strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:43:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 3500/1300 = n strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:44:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 3500/1300 = n strategic 3 BUG multiply 3500 You already solved the equation. n is 3500/1300. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:45:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 19 ERROR 75+75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:45:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 20 ERROR 1.75+.5+.75+1.75+.5+.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:46:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 21 ERROR 6.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:46:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 22 INITIAL_HINT 6.75 Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:46:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 23 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:53:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 24 INITIAL_HINT 6.75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session22 2005-10-26 08:53:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 25 INITIAL_HINT 6.75 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:19:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 1 INITIAL_HINT 6.75 Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:19:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 2 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:19:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 3 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:20:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 4 ERROR 1300*3500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:26:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 BUG 3500*1300=n 3500*1300=n
Please check to make sure that 3500*1300=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:27:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 BUG 3500*1300+775=n 3500*1300+775=n
Please check to make sure that 3500*1300+775=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:33:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 3 BUG 1300n+775=3500 1300N+775=3500
Please check to make sure that 1300N+775=3500 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:34:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300n+775 = 3500 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:34:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300n = 2725 strategic 1 BUG subtract 1300 In 1300n, n is multiplied by 1300. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:35:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300n = 2725 strategic 2 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C n = 109/52 strategic 1 BUG rf n = 109/52 strategic You already solved the equation. n is 109/52. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:35:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 5 OK 109/52 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:36:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK number of students enrolled in algerbra default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:36:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK number of students receiving an a or b default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:36:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 BUG 500 500
You entered 500 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:37:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 2 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:37:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 ERROR 127 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 2 OK 120 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:37:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 BUG 48 48
You entered 48 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:38:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:38:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 ERROR 500/15% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:38:52.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R4C2 1 INITIAL_HINT You are given a value for the number of students in algebra. Find the number of students earning an A or B in Algebra. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:38:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R4C2 2 NEXT_HINT You are given a value for the number of students in algebra. Find the number of students earning an A or B in Algebra by calculating 0.15 times the number of students in algebra. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:39:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C2 3 OK .15*500 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:39:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 2 ERROR 15*n default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:40:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 3 OK 0.15*n default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 1 OK 0.15n=48 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:40:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 2 OK 0.15N=48 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:40:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15N = 48 strategic 1 OK divide .15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:40:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 2 OK 320 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:41:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 3 OK 0.15N=9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:41:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15N = 9 strategic 1 OK divide .15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:41:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:41:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C1 1 OK number of people default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C2 1 BUG rule for the cost of cake rule for the cost of cake
Don't worry about an expression yet. Here, you can just enter the cost of the cake. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:41:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C2 2 OK the cost of cake default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:42:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:42:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:42:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:42:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:42:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C2 1 OK 54 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C2 1 OK 70.20 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:43:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R4C2 1 BUG 100 100
You entered 100.00 in the wrong column. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:43:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C2 1 OK n*1.35 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:43:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 1 OK n*1.35=54 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:43:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 2 OK N*1.35=54 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 N*1.35 = 54 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 3 OK N*1.35=70.2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 N*1.35 = 70.2 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C1 1 OK 52 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C1 1 OK snow cones default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C2 1 OK profit default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:44:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:45:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:45:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:45:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R5C1 1 OK 800 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:45:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C2 1 OK 550 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:45:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C2 1 OK 473.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:46:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 1 BUG 1.25*n+75 1.25*n+75
Does the profit start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:46:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 2 BUG n*1.25+75 n*1.25+75
Does the profit start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:46:32.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R3C2 3 INITIAL_HINT n*1.25+75 Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:46:34.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R3C2 4 INITIAL_HINT n*1.25+75 Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:46:35.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R3C2 5 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 6 BUG n*1.25+75 n*1.25+75
Does the profit start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:47:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C2 1 ERROR 100*1.25+75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:47:29.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R4C2 2 INITIAL_HINT 100*1.25+75 You are given a value for the number of snow cones we sell. Find the profit. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:47:30.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R4C2 3 NEXT_HINT You are given a value for the number of snow cones we sell. Find the profit by calculating 1.25 times the number of snow cones we sell minus 75. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:47:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 7 OK n*1.25-75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 1 OK n*1.25-75=550 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 2 OK N*1.25-75=550 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B N*1.25-75 = 550 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B N-60 = 440 strategic 1 OK add 60 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 1 OK 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 3 BUG N*1.25-75=463.75 N*1.25-75=463.75
Please check to make sure that N*1.25-75=463.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 4 OK N*1.25-75=473.75 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:48:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B N*1.25-75 = 473.75 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:49:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B N-60 = 379 strategic 1 OK add 60 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:49:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 1 OK 439 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 OK lemgth of the mobile telephone call default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:49:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK total cost of the call default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:49:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:50:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:50:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:50:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:50:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:50:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:51:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK .75*n+3.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 1 OK 0.75n+3.5=17 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 2 OK 0.75N+3.5=17 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:51:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75N+3.5 = 17 strategic 1 BUG multiply .75 To remove the coefficient of 0.75N, you need to divide. Erase your last step and then divide both sides by 0.75. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75N+3.5 = 17 strategic 2 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B N+4.66666667 = 22.66666667 strategic 1 OK subtract 4.6667 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 3 OK 0.75N+3.5=32.75 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75N+3.5 = 32.75 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B N+4.66666667 = 43.66666667 strategic 1 OK subtract 4.6667 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:52:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK cellular phone time used next month default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK amout of next bill default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:53:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:54:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 BUG .21*27-5.26 .21*27-5.26
You entered 0.41 in the wrong row. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:54:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session23 2005-10-28 08:54:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 ERROR 27 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:23:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C2 1 OK .21*27-5.26 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:23:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 OK .21*N-5.26 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:24:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK 0.21N-5.26=15.74 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:24:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21N-5.26 = 15.74 strategic 1 ERROR add .21 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:01.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21N-5.26 = 15.74 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:02.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21N-5.26 = 15.74 strategic 3 NEXT_HINT -5.26 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5.26 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21N-5.26 = 15.74 strategic 4 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21N = 21 strategic 1 OK divide .21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 ERROR 27.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:25:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 BUG 27 27
You entered 27 in the wrong row. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 2 OK 20 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:26:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK 0.21N-5.26=20 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21N-5.26 = 20 strategic 1 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:26:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21N = 25.26 strategic 1 OK divide .21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:26:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 2 BUG 120 120
120 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:26:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 3 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C1 1 OK COST OF THE TIEMS default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C1 1 OK DOLLARS default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C2 1 OK TOTAL COST OF THE ORDER default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C2 1 OK DOLLARS default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C1 1 OK N default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R4C2 1 BUG 200 200
You entered 200.00 in the wrong column. BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R4C1 1 OK 200 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:27:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R5C1 1 OK 400 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:16.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:17.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 20%."). The other is that you need to add the flat fee of $20 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:23.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 20%. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:27.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 4 NEXT_HINT Discounting each item in the order by 20%. means subtracting 0.2 times the cost of the items. So the discount is 0.2N. Since the discount is subtracted from the cost of the items, the total cost of the order will be N-0.2N. Don't forget the flat fee of $20 . HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:34.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 5 NEXT_HINT Write an expression that means the cost of the items minus 0.2 times the cost of the items plus the flat fee of $20 . HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:38.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 6 NEXT_HINT Enter N-0.2N+20 (you could also enter 0.8N + 20, which means the same thing). HINT 6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:28:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 7 OK N-0.2N+20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:29:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C2 1 OK 281.60 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:29:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C2 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:29:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 1 OK N-0.2N+20=281.6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 1 ERROR divide .2 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:07.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 3 ERROR rds N-0.2N+20 = 281.6 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 4 ERROR rf N-0.2N+20 = 281.6 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:19.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 5 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 6 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 281.6 strategic 7 OK clt N-0.2N+20 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8N+20 = 281.6 strategic 1 ERROR clt 0.8N+20 = 281.6 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8N+20 = 281.6 strategic 2 OK divide .8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N+25 = 352 strategic 1 ERROR mt N+25 = 352 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N+25 = 352 strategic 2 ERROR clt N+25 = 352 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:49.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A N+25 = 352 strategic 3 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:50.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A N+25 = 352 strategic 4 NEXT_HINT 25 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 25 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:30:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N+25 = 352 strategic 5 OK subtract 25 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:31:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C1 1 OK 327 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:31:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 2 OK N-0.2N+20=100 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:31:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N-0.2N+20 = 100 strategic 1 OK clt N-0.2N+20 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:31:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8N+20 = 100 strategic 1 OK divide .8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:31:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A N+25 = 125 strategic 1 OK subtract 25 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:32:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 1 OK NUMBER OF HOURS default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:32:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 1 BUG MINUTES MINUTES
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:32:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 2 OK HOURS default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C2 1 OK TEMPERATURE OF LIQUID default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:32:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 1 BUG DEGREES degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:33:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 2 OK DEGREES CELSIOUS default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:33:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C1 1 OK N default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:33:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 1 OK -35-N*2.5 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R4C1 1 OK 12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:34:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R5C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:34:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C2 1 OK -100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:34:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:34:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 1 OK -35-N*2.5=-100 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:35:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-N*2.5 = -100 strategic 1 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:35:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = -65 strategic 1 ERROR divide 2/5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = -65 strategic 2 BUG add 2.5 In -2.5N, N is multiplied by -2.5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:35:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = -65 strategic 3 ERROR divide 65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:35:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = -65 strategic 4 BUG divide 2.5 In this equation, N is multiplied by -2.5. Dividing by 2.5 leaves -N, so you still need to remove the negative sign. It is better to divide by -2.5, since that would leave N. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = -65 strategic 5 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 1 OK 26 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 2 OK -35-N*2.5=0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-N*2.5 = 0 strategic 1 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = 35 strategic 1 ERROR divide -2/5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5N = 35 strategic 2 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 OK -14 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C1 1 OK DIGGING TIME default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C2 1 OK DEPTH OF THE MINE default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C2 1 OK FEET default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 1 BUG YEARS years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C1 1 ERROR ' default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 2 OK MONTHS default_condition Identifying units hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C1 2 OK N default_condition Define Variable hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:37:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 1 ERROR 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 1 INITIAL_HINT Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:19.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 2 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 4 NEXT_HINT Write an expression that means the same thing as -1450 minus 8 times the digging time. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 5 NEXT_HINT Enter -1450 - 8N HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 6 ERROR -1450-N-8 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R4C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:48.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R4C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -8 times the digging time minus 1450. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:38:52.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 7 INITIAL_HINT -1450-N-8 Enter -1450 - 8N HINT 5 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:39:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 8 BUG 1450-8N 1450-8N
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:39:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R3C2 9 INITIAL_HINT 1450-8N Enter -1450 - 8N HINT 5 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:39:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 10 OK -1450-8N default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:39:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 2 OK -12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:39:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R5C1 1 BUG -120 -120
Think about the sign of your answer. BUG default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:39:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R5C1 2 OK 120 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 1 BUG 1994 1994
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 2 OK -1994 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C ValidEquations 1 OK -1450-8N=-1994 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8N = -1994 strategic 1 BUG add -1450 To remove -1450 from the left side, you can add a positive to it. Erase your last step and add 1450 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C -1450-8N = -1994 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C -1450-8N = -1994 strategic 3 NEXT_HINT -1450 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1450 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:40:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8N = -1994 strategic 4 OK add 1450 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:41:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8N = -544 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:41:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C1 1 OK 68 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:41:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C2 1 ERROR 1450 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:41:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C2 2 INITIAL_HINT 1450 Read the problem statement. What information is given in question 4 about the depth of the mine? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:41:39.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C2 3 NEXT_HINT Important information about the depth of the mine is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:41:43.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C2 4 NEXT_HINT Type the depth of the mine, measured in feet into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C1 1 INITIAL_HINT 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:10.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C1 2 NEXT_HINT You know that the expression -1450 - 8N represents the depth of the mine. What value of the digging time will make the general expression -1450 - 8N output the given value of 0 feet? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1450 - 8N and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C1 4 NEXT_HINT Solve the equation -1450 - 8N = 0. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C ValidEquations 2 OK -1450-8N=0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8N = 0 strategic 1 OK add 1450 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:42:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8N = 1450 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:43:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 5 OK -725/4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:43:54.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:01.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:06.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 2 NEXT_HINT Distribute on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 3 OK distribute (2y-3)/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 1 ERROR distribute 2y/2-3/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:16.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:21.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 3 OK clt 2y/2-3/2 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 4 ERROR clt (2y-3)/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:35.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 5 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 6 OK distribute (2y-3)/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:45.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 4 OK clt 2y/2-3/2 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:57.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 7 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:44:58.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 8 NEXT_HINT Distribute on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 9 OK distribute (2y-3)/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:07.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 5 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:08.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 6 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2-3/2 = 5/2 strategic 7 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:19.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:26.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:27.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 3 NEXT_HINT -3/2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3/2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:47.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:48.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 5 NEXT_HINT -3/2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3/2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:45:58.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 6 BUG subtract 3/2 Since -3/2 is negative, you should add to remove it from the left side. Erase your last step and add 3/2 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:21.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y-3/2 = 5/2 strategic 7 OK subtract -3/2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:25.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2-(-3/2) = 5/2-(-3/2) strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y-3/2-(-3/2) = 5/2-(-3/2) strategic 2 ERROR rf y-3/2-(-3/2) = 5/2-(-3/2) strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:32.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2-(-3/2) = 5/2-(-3/2) strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:33.0 HINT HINT ES_02 ES_02-1 EG2-FIXED y-3/2-(-3/2) = 5/2-(-3/2) strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:39.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y-3/2-(-3/2) = 5/2-(-3/2) strategic 5 OK clt y-3/2-(-3/2) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:43.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 5/2-(-3/2) strategic 1 OK clt 5/2-(-3/2) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:54.0 HINT HINT ES_02 ES_02-1 EG30 (-10-10)*-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:57.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-10-10)*-4 strategic 2 ERROR rf (-10-10)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:46:59.0 HINT HINT ES_02 ES_02-1 EG30 (-10-10)*-4 strategic 3 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:04.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-10-10)*-4 strategic 4 ERROR rds (-10-10)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:10.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-10-10)*-4 strategic 5 OK distribute (-10-10)*-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:14.0 HINT HINT ES_02 ES_02-1 EG30 -10*-4-10*-4 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:20.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*-4-10*-4 strategic 2 ERROR distribute -10*-4-10*-4 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:21.0 HINT HINT ES_02 ES_02-1 EG30 -10*-4-10*-4 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:22.0 HINT HINT ES_02 ES_02-1 EG30 -10*-4-10*-4 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:27.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*-4-10*-4 strategic 5 OK mt -10*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:31.0 CYCLE CYCLE ES_02 ES_02-1 EG30 40-10*-4 strategic 1 ERROR clt 40-10*-4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:33.0 HINT HINT ES_02 ES_02-1 EG30 40-10*-4 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:34.0 HINT HINT ES_02 ES_02-1 EG30 40-10*-4 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:36.0 CYCLE CYCLE ES_02 ES_02-1 EG30 40-10*-4 strategic 4 OK mt 10*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:43.0 CYCLE CYCLE ES_02 ES_02-1 EG30 40-(-40) strategic 1 OK rds 40-(-40) strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:47.0 CYCLE CYCLE ES_02 ES_02-1 EG30 40+40 strategic 1 OK clt 40+40 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:47:59.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(8+1) strategic 1 ERROR rds 8(8+1) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:02.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(8+1) strategic 2 ERROR rf 8(8+1) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:03.0 HINT HINT ES_02 ES_02-1 EG31 8(8+1) strategic 3 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:04.0 HINT HINT ES_02 ES_02-1 EG31 8(8+1) strategic 4 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:08.0 HINT HINT ES_02 ES_02-1 EG31 8(8+1) strategic 5 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:09.0 HINT HINT ES_02 ES_02-1 EG31 8(8+1) strategic 6 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:12.0 HINT HINT ES_02 ES_02-1 EG31 8(8+1) strategic 7 NEXT_HINT Combine like terms. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:15.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(8+1) strategic 8 OK clt 8+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:17.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8*9 strategic 1 OK mt 8*9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:28.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-3+8) strategic 1 OK clt -3+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:44.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*5 strategic 1 BUG add 8 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:49.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*5 strategic 2 ERROR clt -8*5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:51.0 HINT HINT ES_02 ES_02-1 EG31 -8*5 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:52.0 HINT HINT ES_02 ES_02-1 EG31 -8*5 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:55.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*5 strategic 5 ERROR clt -8*5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:48:58.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*5 strategic 6 OK mt -8*5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:07.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-1*-4 strategic 1 ERROR clt -4-1*-4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:09.0 HINT HINT ES_02 ES_02-1 EG28 -4-1*-4 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:10.0 HINT HINT ES_02 ES_02-1 EG28 -4-1*-4 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:13.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-1*-4 strategic 4 OK mt 1*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:18.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-(-4) strategic 1 ERROR mt -4-(-4) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:20.0 HINT HINT ES_02 ES_02-1 EG28 -4-(-4) strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:21.0 HINT HINT ES_02 ES_02-1 EG28 -4-(-4) strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:23.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-(-4) strategic 4 OK clt -4-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:33.0 CYCLE CYCLE ES_02 ES_02-1 EG29 6-10*-6 strategic 1 OK mt 10*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:35.0 CYCLE CYCLE ES_02 ES_02-1 EG29 6-(-60) strategic 1 OK clt 6-(-60) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:40.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6-7)*1 strategic 1 OK clt -6-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:45.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -13*1 strategic 1 OK mt -13*1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:51.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-7*-7 strategic 1 ERROR clt -1-7*-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:54.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-7*-7 strategic 2 OK mt 7*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:49:56.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-(-49) strategic 1 OK clt -1-(-49) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:02.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -9-4*7 strategic 1 OK mt 4*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:04.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -9-28 strategic 1 OK clt -9-28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:10.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+2*6 strategic 1 OK mt 2*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:12.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1+12 strategic 1 OK clt -1+12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:20.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+5)*-7 strategic 1 ERROR mt (-9+5)*-7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:23.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+5)*-7 strategic 2 OK clt -9+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:24.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*-7 strategic 1 OK mt -4*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:30.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-9-7) strategic 1 ERROR mt -8(-9-7) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:33.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-9-7) strategic 2 OK clt -9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:35.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*-16 strategic 1 OK mt -8*-16 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:40.0 CYCLE CYCLE ES_02 ES_02-1 EG31 3(-7-3) strategic 1 OK clt -7-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:43.0 CYCLE CYCLE ES_02 ES_02-1 EG31 3*-10 strategic 1 OK mt 3*-10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7+9)*-2 strategic 1 ERROR mt (-7+9)*-2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:51.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7+9)*-2 strategic 2 OK clt -7+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:53.0 CYCLE CYCLE ES_02 ES_02-1 EG30 2*-2 strategic 1 OK mt 2*-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:50:59.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8+5)*-9 strategic 1 OK clt -8+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:51:01.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -3*-9 strategic 1 OK mt -3*-9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:51:07.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7(-3-5) strategic 1 OK clt -3-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:51:09.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7*-8 strategic 1 OK mt -7*-8 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:51:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-2+4) strategic 1 ERROR mt -6(-2+4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:51:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-2+4) strategic 2 OK clt -2+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:51:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -6(1) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 0 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -6(-6) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:09.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -6(-6) You need to combine like terms in -6(-2+4). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -6.2 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -6.2. default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -6*.2 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:52:39.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 8 INITIAL_HINT -6*.2 You need to combine like terms in -6(-2+4). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -6.2 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:15.0 HINT HINT ES_02 ES_02-2 EG31 -6(-2+4) strategic 3 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:15.0 HINT HINT ES_02 ES_02-2 EG31 -6(-2+4) strategic 4 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:23.0 HINT HINT ES_02 ES_02-2 EG31 -6(-2+4) strategic 5 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:24.0 HINT HINT ES_02 ES_02-2 EG31 -6(-2+4) strategic 6 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:28.0 HINT HINT ES_02 ES_02-2 EG31 -6(-2+4) strategic 7 NEXT_HINT Combine like terms. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-2+4) strategic 8 OK clt -2+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -6(2) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:50.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*2 strategic 1 ERROR clt -6*2 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:52.0 HINT HINT ES_02 ES_02-2 EG31 -6*2 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:54.0 HINT HINT ES_02 ES_02-2 EG31 -6*2 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:55.0 HINT HINT ES_02 ES_02-2 EG31 -6*2 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:53:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*2 strategic 5 OK mt -6*2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:54:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 OK -12 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:54:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (6-5)*-5 strategic 1 OK clt 6-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:54:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK (1)*(-5) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:54:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-5 strategic 1 OK mt 1*-5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session24 2005-11-02 08:54:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 1.(- default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:02:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3+7)*4 strategic 1 OK clt -3+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:02:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR (-10)*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:02:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR (-10)*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:02:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR (-10)*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:02:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR (-10)*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:02:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR -10.4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 ERROR -10.4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 ERROR -10.4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 ERROR -10.4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:03.0 HINT HINT ES_02 ES_02-2 EG30 (-3+7)*4 strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:04.0 HINT HINT ES_02 ES_02-2 EG30 (-3+7)*4 strategic 3 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3+7)*4 strategic 4 ERROR rf (-3+7)*4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:14.0 HINT HINT ES_02 ES_02-2 EG30 (-3+7)*4 strategic 5 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:15.0 HINT HINT ES_02 ES_02-2 EG30 (-3+7)*4 strategic 6 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:18.0 HINT HINT ES_02 ES_02-2 EG30 (-3+7)*4 strategic 7 NEXT_HINT Combine like terms. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3+7)*4 strategic 8 OK clt -3+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:24.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 9 INITIAL_HINT You need to combine like terms in (-3+7)*4. HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 10 ERROR 4.4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 11 OK 4*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 4*4 strategic 1 OK mt 4*4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:43.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 12 OK 16 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-10*-9 strategic 1 ERROR clt -2-10*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-10*-9 strategic 2 ERROR rf -2-10*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:56.0 HINT HINT ES_02 ES_02-2 EG28 -2-10*-9 strategic 3 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:03:57.0 HINT HINT ES_02 ES_02-2 EG28 -2-10*-9 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-10*-9 strategic 5 ERROR clt -2-10*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-10*-9 strategic 6 OK mt 10*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -12*(-9) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -12*-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -12*-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:33.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT -12*-9 You need to perform multiplication in -2-10*-9. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -2-(-90) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:04:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2+90 strategic 1 OK clt -2+90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:05:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR -92 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:05:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK 88 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:05:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1+4*-7 strategic 1 ERROR clt -1+4*-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:05:56.0 HINT HINT ES_02 ES_02-2 EG29 -1+4*-7 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:06:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1+4*-7 strategic 3 OK mt 4*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:06:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -7 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:06:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 0*(-7) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:06:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR 0*(-7) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:06:36.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT 0*(-7) You need to perform multiplication in -1+4*-7. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -1+-(28) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-28 strategic 1 OK clt -1-28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -29 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(-7-6) strategic 1 OK clt -7-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -4(-13) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4*-13 strategic 1 OK mt -4*-13 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:07:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -52 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -17 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -17 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -17 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -17 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -17 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -17 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:42.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 9 INITIAL_HINT -17 In the group above, you have [-4]*[-13]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:08:50.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK 52 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:09:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3+2*-3 strategic 1 ERROR clt 3+2*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:09:09.0 HINT HINT ES_02 ES_02-2 EG28 3+2*-3 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:09:09.0 HINT HINT ES_02 ES_02-2 EG28 3+2*-3 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:09:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3+2*-3 strategic 4 OK mt 2*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:09:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -14 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session25 2005-11-02 14:09:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -15 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:16:43.0 HINT HINT ES_02 ES_02-2 EG28 -9-3*4 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:16:44.0 HINT HINT ES_02 ES_02-2 EG28 -9-3*4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:16:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-3*4 strategic 3 OK mt 3*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:17:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -12*4 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:17:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 28 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:17:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 28 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:17:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 28 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:17:51.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 5 INITIAL_HINT 28 You need to perform multiplication in -9-3*4. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:18:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -9-12 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:18:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-12 strategic 1 OK clt -9-12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:18:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK -21 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:19:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6*4-4 strategic 1 OK mt -6*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:19:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -24-4 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:20:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -24-4 strategic 1 OK clt -24-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:20:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -28 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:20:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1+8)*-4 strategic 1 OK clt -1+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:20:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR (7 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:20:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK (7)*(-4) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:21:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 7*-4 strategic 1 OK mt 7*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:21:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR -24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:21:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR *28 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:21:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK -28 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:21:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(-8-10) strategic 1 OK clt -8-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:22:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -5(-18) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:22:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-18 strategic 1 OK mt -5*-18 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:22:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -5* default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:23:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -5*(-90) default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:23:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -5*(-90) default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:23:17.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT -5*(-90) In the group above, you have [-5]*[-18]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:23:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 90 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 2*-8-1 strategic 1 ERROR clt 2*-8-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 2*-8-1 strategic 2 OK mt 2*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -19 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG 2*(-9) 2*(-9)
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:44.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 3 INITIAL_HINT 2*(-9) You need to perform multiplication in 2*-8-1. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK -16-1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:24:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -16-1 strategic 1 OK clt -16-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:25:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -17 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:25:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+2*-8 strategic 1 ERROR clt -6+2*-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:25:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+2*-8 strategic 2 OK mt 2*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:26:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -6+-16 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:26:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-16 strategic 1 OK clt -6-16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:26:40.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -22 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:26:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-10*-8 strategic 1 OK mt 10*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:27:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -88 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:28:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -80 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:28:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -80 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:28:04.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT -80 You need to perform multiplication in -1-10*-8. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:28:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -1-(-80) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:28:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1+80 strategic 1 OK clt -1+80 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:28:32.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK 79 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:29:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-4*0 strategic 1 OK mt 4*0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:29:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -1-4 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:29:48.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 2 INITIAL_HINT -1-4 You need to perform multiplication in -1-4*0. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -1-0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-0 strategic 1 ERROR mt -1-0 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-0 strategic 2 OK clt -1-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+4*7 strategic 1 OK mt 4*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -9+28 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+28 strategic 1 OK clt -9+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -19 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -19 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR -19 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:30:55.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 5 INITIAL_HINT -19 In the group above, you have [-9]+[28]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK 19 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-1)*4 strategic 1 OK clt -8-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK (-9)*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*4 strategic 1 OK mt -9*4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -28 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR -26 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK -36 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:31:52.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = (0-1)*5 strategic 1 OK clt 0-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:00.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = -1*5 strategic 1 OK mt -1*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:07.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -31(8-46) = x strategic 1 OK clt 8-46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -31*-38 = x strategic 1 OK mt -31*-38 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:16.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -44*-14-41 strategic 1 ERROR clt x = -44*-14-41 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:22.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -44*-14-41 strategic 2 ERROR rf x = -44*-14-41 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:25.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -44*-14-41 strategic 3 OK mt -44*-14 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:27.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 616-41 strategic 1 OK clt 616-41 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:33.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -30-31*-26 strategic 1 OK mt 31*-26 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:35.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -30-(-806) strategic 1 OK clt -30-(-806) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:41.0 CYCLE CYCLE ES_02 ES_02-3 EG38A -3*-97 = y strategic 1 OK mt -3*-97 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:43.0 CYCLE CYCLE ES_02 ES_02-3 EG38A 291 = y strategic 1 BUG clt 291 = y strategic You already solved the equation. y is 291. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:32:55.0 CYCLE CYCLE ES_02 ES_02-3 EG39B -36*-18 = y strategic 1 OK mt -36*-18 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:02.0 CYCLE CYCLE ES_02 ES_02-3 EG38 -10*9 = x strategic 1 OK mt -10*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:08.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = 23*15+47 strategic 1 OK mt 23*15 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:11.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = 345+47 strategic 1 OK clt 345+47 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:16.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -46(-13+46) = y strategic 1 OK clt -13+46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:18.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -46*33 = y strategic 1 OK mt -46*33 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:25.0 CYCLE CYCLE ES_02 ES_02-3 EG32C 11-6*25 = x strategic 1 OK mt 6*25 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:27.0 CYCLE CYCLE ES_02 ES_02-3 EG32C 11-150 = x strategic 1 OK clt 11-150 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:33.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (4-5)*-9 = y strategic 1 OK clt 4-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:33:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK (-1)*(-9) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -1*-9 = y strategic 1 ERROR clt -1*-9 = y strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -1*-9 = y strategic 2 ERROR rf -1*-9 = y strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -1*-9 = y strategic 3 OK mt -1*-9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:13.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 ERROR -9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:16.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 3 INITIAL_HINT -9 In the group above, you have [-1]*[-9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:22.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 4 OK 9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 47(-13-23) = y strategic 1 OK clt -13-23 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 47(-36) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:34:52.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 47*-36 = y strategic 1 OK mt 47*-36 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:35:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -1692 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:36:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-47-13)*-27 strategic 1 OK clt -47-13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:36:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 BUG (-60)*(27) (-60)*(27)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:36:46.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 2 INITIAL_HINT (-60)*(27) You need to combine like terms in (-47-13)*-27. HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:36:59.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 OK -60*(-27) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:37:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -60*-27 strategic 1 ERROR clt y = -60*-27 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:37:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -60*-27 strategic 2 OK mt -60*-27 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:37:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 ERROR -1620 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:37:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 5 OK 1620 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:02.0 CYCLE CYCLE ES_02 ES_02-4 EG39B x = 4*-28 strategic 1 OK mt 4*-28 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:25.0 CYCLE CYCLE ES_02 ES_02-4 EG39B FinalAnswer strategic 1 OK -112 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+9y = -9 strategic 1 ERROR mt 5+9y = -9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+9y = -9 strategic 2 ERROR clt 5+9y = -9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:40.0 HINT HINT ES_02 ES_02-5 EG40 5+9y = -9 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:41.0 HINT HINT ES_02 ES_02-5 EG40 5+9y = -9 strategic 4 NEXT_HINT 5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:38:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+9y = -9 strategic 5 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+9y-5 = -9-5 strategic 1 OK clt 5+9y-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y = -9-5 strategic 1 OK clt -9-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:14.0 HINT HINT ES_02 ES_02-5 EG40 9y = -14 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:15.0 HINT HINT ES_02 ES_02-5 EG40 9y = -14 strategic 2 NEXT_HINT 9y is 9 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y = -14 strategic 3 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:28.0 HINT HINT ES_02 ES_02-5 EG40 9y/9 = -14/9 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:28.0 HINT HINT ES_02 ES_02-5 EG40 9y/9 = -14/9 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y/9 = -14/9 strategic 3 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 1+6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:39:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/6 = (1+6x)/6 strategic 1 OK rf 0/6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = (1+6x)/6 strategic 1 ERROR rf 0 = (1+6x)/6 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = (1+6x)/6 strategic 2 ERROR clt 0 = (1+6x)/6 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:05.0 HINT HINT ES_02 ES_02-5 EG40 0 = (1+6x)/6 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:06.0 HINT HINT ES_02 ES_02-5 EG40 0 = (1+6x)/6 strategic 4 NEXT_HINT Distribute on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = (1+6x)/6 strategic 5 OK distribute (1+6x)/6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:14.0 HINT HINT ES_02 ES_02-5 EG40 0 = 1/6+6x/6 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:15.0 HINT HINT ES_02 ES_02-5 EG40 0 = 1/6+6x/6 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 1/6+6x/6 strategic 3 OK rf 6x/6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:20.0 HINT HINT ES_02 ES_02-5 EG40 0 = 1/6+x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:21.0 HINT HINT ES_02 ES_02-5 EG40 0 = 1/6+x strategic 2 NEXT_HINT 1/6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1/6 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 1/6+x strategic 3 OK subtract 1/6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:34.0 HINT HINT ES_02 ES_02-5 EG40 0-1/6 = 1/6+x-1/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:35.0 HINT HINT ES_02 ES_02-5 EG40 0-1/6 = 1/6+x-1/6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-1/6 = 1/6+x-1/6 strategic 3 OK clt 1/6+x-1/6 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:41.0 HINT HINT ES_02 ES_02-5 EG40 0-1/6 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-1/6 = x strategic 2 ERROR rf 0-1/6 = x strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:49.0 HINT HINT ES_02 ES_02-5 EG40 0-1/6 = x strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:50.0 HINT HINT ES_02 ES_02-5 EG40 0-1/6 = x strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:40:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-1/6 = x strategic 5 OK clt 0-1/6 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y-3 = -7 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (5y-3)/5 = -7/5 strategic 1 ERROR rf (5y-3)/5 = -7/5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (5y-3)/5 = -7/5 strategic 2 ERROR clt (5y-3)/5 = -7/5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:15.0 HINT HINT ES_02 ES_02-5 EG40 (5y-3)/5 = -7/5 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:16.0 HINT HINT ES_02 ES_02-5 EG40 (5y-3)/5 = -7/5 strategic 4 NEXT_HINT Distribute on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (5y-3)/5 = -7/5 strategic 5 OK distribute (5y-3)/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y/5-3/5 = -7/5 strategic 1 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y-3/5 = -7/5 strategic 1 ERROR clt y-3/5 = -7/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:43.0 HINT HINT ES_02 ES_02-5 EG40 y-3/5 = -7/5 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:44.0 HINT HINT ES_02 ES_02-5 EG40 y-3/5 = -7/5 strategic 3 NEXT_HINT -3/5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3/5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:41:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y-3/5 = -7/5 strategic 4 OK add 3/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y-3/5+3/5 = -7/5+3/5 strategic 1 OK clt y-3/5+3/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:04.0 HINT HINT ES_02 ES_02-5 EG40 y = -7/5+3/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:06.0 HINT HINT ES_02 ES_02-5 EG40 y = -7/5+3/5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -7/5+3/5 strategic 3 OK clt -7/5+3/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 5y-1 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 1 ERROR rf 2/5 = (5y-1)/5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:32.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:35.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 3 NEXT_HINT Distribute on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 4 ERROR rds 2/5 = (5y-1)/5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 5 OK distribute (5y-1)/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:42:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = 5y/5-1/5 strategic 1 OK clt 5y/5-1/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 6 OK distribute (5y-1)/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = 5y/5-1/5 strategic 2 OK clt 5y/5-1/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 7 ERROR clt 2/5 = (5y-1)/5 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:12.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 8 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:15.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 9 NEXT_HINT Distribute on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = (5y-1)/5 strategic 10 OK distribute (5y-1)/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:29.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = 5y/5-1/5 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:30.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = 5y/5-1/5 strategic 4 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = 5y/5-1/5 strategic 5 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:37.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = y-1/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:37.0 HINT HINT ES_02 ES_02-5 EG40 2/5 = y-1/5 strategic 2 NEXT_HINT -1/5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1/5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5 = y-1/5 strategic 3 OK add 1/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:57.0 HINT HINT ES_02 ES_02-5 EG40 2/5+1/5 = y-1/5+1/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:43:58.0 HINT HINT ES_02 ES_02-5 EG40 2/5+1/5 = y-1/5+1/5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5+1/5 = y-1/5+1/5 strategic 3 OK clt y-1/5+1/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:08.0 HINT HINT ES_02 ES_02-5 EG40 2/5+1/5 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:09.0 HINT HINT ES_02 ES_02-5 EG40 2/5+1/5 = y strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/5+1/5 = y strategic 3 OK clt 2/5+1/5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10 = -3y-6 strategic 1 ERROR add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:25.0 HINT HINT ES_02 ES_02-5 EG40 -10 = -3y-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:26.0 HINT HINT ES_02 ES_02-5 EG40 -10 = -3y-6 strategic 3 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10 = -3y-6 strategic 4 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10+6 = -3y-6+6 strategic 1 OK clt -3y-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:47.0 HINT HINT ES_02 ES_02-5 EG40 -10+6 = -3y strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:48.0 HINT HINT ES_02 ES_02-5 EG40 -10+6 = -3y strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10+6 = -3y strategic 3 ERROR mt -10+6 = -3y strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:44:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10+6 = -3y strategic 4 OK clt -10+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -3y strategic 1 BUG add 3 In -3y, y is multiplied by -3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -3y strategic 2 BUG divide 3 In this equation, y is multiplied by -3. Dividing by 3 leaves -y, so you still need to remove the negative sign. It is better to divide by -3, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -3y strategic 3 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-3 = -3y/-3 strategic 1 ERROR distribute -4/-3 = -3y/-3 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:26.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = -3y/-3 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:27.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = -3y/-3 strategic 3 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-3 = -3y/-3 strategic 4 OK rf -3y/-3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:37.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:38.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:45.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:45:46.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 4 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:46:05.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 5 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:46:06.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 6 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:46:10.0 HINT HINT ES_02 ES_02-5 EG40 -4/-3 = y strategic 7 NEXT_HINT Simplify fractions on the left side. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:46:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-3 = y strategic 8 OK rf -4/-3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:46:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5-7y = 2 strategic 1 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:01.0 HINT HINT ES_02 ES_02-5 EG40 5-7y = 2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:02.0 HINT HINT ES_02 ES_02-5 EG40 5-7y = 2 strategic 3 NEXT_HINT 5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5-7y = 2 strategic 4 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5-7y-5 = 2-5 strategic 1 OK clt 5-7y-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = 2-5 strategic 1 ERROR rf -7y = 2-5 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = 2-5 strategic 2 ERROR distribute -7y = 2-5 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:23.0 HINT HINT ES_02 ES_02-5 EG40 -7y = 2-5 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:24.0 HINT HINT ES_02 ES_02-5 EG40 -7y = 2-5 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:47:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = 2-5 strategic 5 OK clt 2-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = -3 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y/-7 = -3/-7 strategic 1 OK rf -3/-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:37.0 HINT HINT ES_02 ES_02-5 EG40 -7y/-7 = 3/7 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:38.0 HINT HINT ES_02 ES_02-5 EG40 -7y/-7 = 3/7 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y/-7 = 3/7 strategic 3 OK rf -7y/-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 7y+1 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:48:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/7 = (7y+1)/7 strategic 1 ERROR rf 2/7 = (7y+1)/7 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/7 = (7y+1)/7 strategic 2 ERROR clt 2/7 = (7y+1)/7 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:04.0 HINT HINT ES_02 ES_02-5 EG40 2/7 = (7y+1)/7 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:04.0 HINT HINT ES_02 ES_02-5 EG40 2/7 = (7y+1)/7 strategic 4 NEXT_HINT Distribute on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/7 = (7y+1)/7 strategic 5 OK distribute (7y+1)/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 7y+1 strategic 2 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-1 = 7y+1-1 strategic 1 OK clt 7y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-1 = 7y strategic 1 OK clt 2-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:49:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:50:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/7 = 7y/7 strategic 1 OK rf 7y/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:50:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10 = -6-2y strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:50:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10+6 = -6-2y+6 strategic 1 OK clt -6-2y+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:50:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10+6 = -2y strategic 1 OK clt -10+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:51:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:51:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-2 = -2y/-2 strategic 1 ERROR distribute -4/-2 = -2y/-2 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:51:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-2 = -2y/-2 strategic 2 OK rf -2y/-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:51:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-2 = y strategic 1 OK rf -4/-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:51:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y-10 = 1 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:52:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y-10+10 = 1+10 strategic 1 OK clt 9y-10+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:52:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y = 1+10 strategic 1 OK clt 1+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:52:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y = 11 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:52:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y/9 = 11/9 strategic 1 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:53:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+1 = 4 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:53:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+1-1 = 4-1 strategic 1 OK typein -8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:53:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+1-1 = 4-1 strategic 2 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:53:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y = 3 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:54:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 3/-8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:54:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 3/-8 strategic 2 ERROR typein -.38 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session26 2005-11-04 08:55:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 3/-8 strategic 3 OK typein 3/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:45:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+2 = -9 strategic 1 ERROR clt 9y+2 = -9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:45:46.0 HINT HINT ES_02 ES_02-6 EG40 9y+2 = -9 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:45:47.0 HINT HINT ES_02 ES_02-6 EG40 9y+2 = -9 strategic 3 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:45:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+2 = -9 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:45:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+2-2 = -9-2 strategic 1 OK typein 9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:46:22.0 HINT HINT ES_02 ES_02-6 EG40 9y+2-2 = -9-2 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:46:24.0 HINT HINT ES_02 ES_02-6 EG40 9y+2-2 = -9-2 strategic 3 NEXT_HINT Type in -9-2 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:46:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+2-2 = -9-2 strategic 4 OK typein -9-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:46:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y = -9-2 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:46:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 2 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:31.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:32.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 4 NEXT_HINT Type in (-9-2)/9 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 5 ERROR typein -9-2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 6 ERROR typein 9-2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:48.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:47:49.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 8 NEXT_HINT Type in (-9-2)/9 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:48:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 9 ERROR typein -9-2-2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:48:24.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 10 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:48:25.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 11 NEXT_HINT Type in (-9-2)/9 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:48:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 12 BUG typein -2-9 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:49:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 13 ERROR typein -9-2-2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:49:22.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 14 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:49:23.0 HINT HINT ES_02 ES_02-6 EG40 9y/9 = (-9-2)/9 strategic 15 NEXT_HINT Type in (-9-2)/9 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:25.0 HINT HINT ES_02 ES_02-6 EG40 2 = -8x-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:26.0 HINT HINT ES_02 ES_02-6 EG40 2 = -8x-5 strategic 2 NEXT_HINT -5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -8x-5 strategic 3 ERROR add -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -8x-5 strategic 4 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:41.0 HINT HINT ES_02 ES_02-6 EG40 2 = -8x-5 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:43.0 HINT HINT ES_02 ES_02-6 EG40 2 = -8x-5 strategic 6 NEXT_HINT -5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:47.0 HINT HINT ES_02 ES_02-6 EG40 2 = -8x-5 strategic 7 NEXT_HINT You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:50:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -8x-5 strategic 8 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+5 = -8x-5+5 strategic 1 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+5 = -8x-5+5 strategic 2 ERROR typein -8*0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+5 = -8x-5+5 strategic 3 BUG typein 8x You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2+5 = -8x-5+5 strategic 4 OK typein -8x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -8x strategic 1 BUG add 8 In -8x, x is multiplied by -8. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -8x strategic 2 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:51.0 HINT HINT ES_02 ES_02-6 EG40 7 = -8x strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:52.0 HINT HINT ES_02 ES_02-6 EG40 7 = -8x strategic 4 NEXT_HINT -8x is -8 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:51:56.0 HINT HINT ES_02 ES_02-6 EG40 7 = -8x strategic 5 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -8x strategic 6 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-8 = -8x/-8 strategic 1 OK typein 7/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-8 = -8x/-8 strategic 2 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-8 = -8x/-8 strategic 3 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/6-9 strategic 1 ERROR rf 8 = y/6-9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:36.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-9 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:37.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-9 strategic 3 NEXT_HINT -9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/6-9 strategic 4 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:49.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-9 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:49.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-9 strategic 6 NEXT_HINT -9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:53.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-9 strategic 7 NEXT_HINT You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:52:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/6-9 strategic 8 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8+9 = y/6-9+9 strategic 1 OK clt y/6-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8+9 = y/6 strategic 1 OK clt 8+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 17 = y/6 strategic 1 ERROR rf 17 = y/6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 17 = y/6 strategic 2 BUG subtract 17 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:27.0 HINT HINT ES_02 ES_02-7 EG41 17 = y/6 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:28.0 HINT HINT ES_02 ES_02-7 EG41 17 = y/6 strategic 4 NEXT_HINT In y/6, y is divided by 6. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:32.0 HINT HINT ES_02 ES_02-7 EG41 17 = y/6 strategic 5 NEXT_HINT Multiply both sides by 6. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 17 = y/6 strategic 6 ERROR mt 17 = y/6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 17 = y/6 strategic 7 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 17*6 = y/6*6 strategic 1 OK mt 17*6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 102 = y/6*6 strategic 1 ERROR clt 102 = y/6*6 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:53:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 102 = y/6*6 strategic 2 OK mt y/6*6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:01.0 HINT HINT ES_02 ES_02-7 EG41 -1 = -1+(y/-4) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:02.0 HINT HINT ES_02 ES_02-7 EG41 -1 = -1+(y/-4) strategic 2 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:05.0 HINT HINT ES_02 ES_02-7 EG41 -1 = -1+(y/-4) strategic 3 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -1+(y/-4) strategic 4 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:15.0 HINT HINT ES_02 ES_02-7 EG41 -1+1 = -1+(y/-4)+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:16.0 HINT HINT ES_02 ES_02-7 EG41 -1+1 = -1+(y/-4)+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+1 = -1+(y/-4)+1 strategic 3 OK clt -1+(y/-4)+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+1 = y/-4 strategic 1 OK clt -1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:28.0 HINT HINT ES_02 ES_02-7 EG41 0 = y/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:29.0 HINT HINT ES_02 ES_02-7 EG41 0 = y/-4 strategic 2 NEXT_HINT In y/-4, y is divided by -4. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4 strategic 3 BUG multiply 4 Multiplying by 4 will leave -y. It is better to multiply by -4, because that will leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4 strategic 4 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*-4 = y/-4*-4 strategic 1 ERROR clt 0*-4 = y/-4*-4 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:52.0 HINT HINT ES_02 ES_02-7 EG41 0*-4 = y/-4*-4 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:53.0 HINT HINT ES_02 ES_02-7 EG41 0*-4 = y/-4*-4 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:54:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*-4 = y/-4*-4 strategic 4 OK mt 0*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4*-4 strategic 1 OK mt y/-4*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:15.0 HINT HINT ES_02 ES_02-7 EG41 x/-8+4 = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:16.0 HINT HINT ES_02 ES_02-7 EG41 x/-8+4 = 3 strategic 2 NEXT_HINT 4 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8+4 = 3 strategic 3 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8+4-4 = 3-4 strategic 1 OK clt x/-8+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 3-4 strategic 1 ERROR mt x/-8 = 3-4 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 3-4 strategic 2 OK clt 3-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:37.0 HINT HINT ES_02 ES_02-7 EG41 x/-8 = -1 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:38.0 HINT HINT ES_02 ES_02-7 EG41 x/-8 = -1 strategic 2 NEXT_HINT In x/-8, x is divided by -8. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = -1 strategic 3 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = -1*-8 strategic 1 ERROR clt x/-8*-8 = -1*-8 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = -1*-8 strategic 2 OK mt x/-8*-8 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:55:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -1*-8 strategic 1 OK mt -1*-8 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+(x/-3) = 7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+(x/-3)+7 = 7+7 strategic 1 OK clt -7+(x/-3)+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-3 = 7+7 strategic 1 OK clt 7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:40.0 HINT HINT ES_02 ES_02-7 EG41 x/-3 = 14 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:41.0 HINT HINT ES_02 ES_02-7 EG41 x/-3 = 14 strategic 2 NEXT_HINT In x/-3, x is divided by -3. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:45.0 HINT HINT ES_02 ES_02-7 EG41 x/-3 = 14 strategic 3 NEXT_HINT Multiply both sides by -3. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-3 = 14 strategic 4 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:56:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-3*-3 = 14*-3 strategic 1 OK mt x/-3*-3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 14*-3 strategic 1 OK mt 14*-3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:15.0 HINT HINT ES_02 ES_02-7 EG41 y/9-3 = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:16.0 HINT HINT ES_02 ES_02-7 EG41 y/9-3 = 9 strategic 2 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:20.0 HINT HINT ES_02 ES_02-7 EG41 y/9-3 = 9 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:20.0 HINT HINT ES_02 ES_02-7 EG41 y/9-3 = 9 strategic 4 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:24.0 HINT HINT ES_02 ES_02-7 EG41 y/9-3 = 9 strategic 5 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9-3 = 9 strategic 6 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9-3+3 = 9+3 strategic 1 OK clt y/9-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 9+3 strategic 1 OK clt 9+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:41.0 HINT HINT ES_02 ES_02-7 EG41 y/9 = 12 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:42.0 HINT HINT ES_02 ES_02-7 EG41 y/9 = 12 strategic 2 NEXT_HINT In y/9, y is divided by 9. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 12 strategic 3 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:57:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 12*9 strategic 1 OK mt y/9*9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 12*9 strategic 1 OK mt 12*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+y/9 = 3 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+y/9-5 = 3-5 strategic 1 OK clt 5+y/9-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 3-5 strategic 1 OK clt 3-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = -2 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = -2*9 strategic 1 OK mt y/9*9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -2*9 strategic 1 OK mt -2*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6+6 = 4 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6+6-6 = 4-6 strategic 1 OK clt y/6+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:58:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6 = 4-6 strategic 1 OK clt 4-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6 = -2 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6*6 = -2*6 strategic 1 OK mt y/6*6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -2*6 strategic 1 OK mt -2*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:34.0 HINT HINT ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:35.0 HINT HINT ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 3 NEXT_HINT -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:46.0 HINT HINT ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:47.0 HINT HINT ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 5 NEXT_HINT -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:51.0 HINT HINT ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 6 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 13:59:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/-10-2 strategic 7 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+2 = x/-10-2+2 strategic 1 OK clt x/-10-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+2 = x/-10 strategic 1 OK clt 3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/-10 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:15.0 HINT HINT ES_02 ES_02-7 EG41 5 = x/-10 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:16.0 HINT HINT ES_02 ES_02-7 EG41 5 = x/-10 strategic 3 NEXT_HINT In x/-10, x is divided by -10. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/-10 strategic 4 ERROR add 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:23.0 HINT HINT ES_02 ES_02-7 EG41 5 = x/-10 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:25.0 HINT HINT ES_02 ES_02-7 EG41 5 = x/-10 strategic 6 NEXT_HINT In x/-10, x is divided by -10. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/-10 strategic 7 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*-10 = x/-10*-10 strategic 1 OK mt x/-10*-10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*-10 = x strategic 1 ERROR clt 5*-10 = x strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*-10 = x strategic 2 OK mt 5*-10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:00:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+(y/-2) = -7 strategic 1 BUG add -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:02.0 HINT HINT ES_02 ES_02-7 EG41 -7+(y/-2) = -7 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:02.0 HINT HINT ES_02 ES_02-7 EG41 -7+(y/-2) = -7 strategic 3 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+(y/-2) = -7 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+(y/-2)+7 = -7+7 strategic 1 OK clt -7+(y/-2)+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = -7+7 strategic 1 OK clt -7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 0 strategic 1 BUG multiply 2 Multiplying by 2 will leave -y. It is better to multiply by -2, because that will leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 0 strategic 2 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2*-2 = 0*-2 strategic 1 OK mt y/-2*-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 0*-2 strategic 1 OK mt 0*-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:54.0 HINT HINT ES_02 ES_02-7 EG41 9 = 1+(x/-9) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:54.0 HINT HINT ES_02 ES_02-7 EG41 9 = 1+(x/-9) strategic 2 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:01:59.0 HINT HINT ES_02 ES_02-7 EG41 9 = 1+(x/-9) strategic 3 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = 1+(x/-9) strategic 4 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = 1+(x/-9)-1 strategic 1 OK clt 1+(x/-9)-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = x/-9 strategic 1 OK clt 9-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:18.0 HINT HINT ES_02 ES_02-7 EG41 8 = x/-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:18.0 HINT HINT ES_02 ES_02-7 EG41 8 = x/-9 strategic 2 NEXT_HINT In x/-9, x is divided by -9. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/-9 strategic 3 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-9 = x/-9*-9 strategic 1 OK mt x/-9*-9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-9 = x strategic 1 OK mt 8*-9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:41.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-4 = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:41.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-4 = 3 strategic 2 NEXT_HINT -4 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:48.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-4 = 3 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:48.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-4 = 3 strategic 4 NEXT_HINT -4 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:52.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-4 = 3 strategic 5 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:02:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-4 = 3 strategic 6 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-4+4 = 3+4 strategic 1 OK clt x/-2-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 3+4 strategic 1 OK clt 3+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 7 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2*-2 = 7*-2 strategic 1 OK mt x/-2*-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 7*-2 strategic 1 OK mt 7*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:30.0 HINT HINT ES_02 ES_02-7 EG41 9 = 1+(y/-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:31.0 HINT HINT ES_02 ES_02-7 EG41 9 = 1+(y/-2) strategic 2 NEXT_HINT 1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = 1+(y/-2) strategic 3 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = 1+(y/-2)-1 strategic 1 OK clt 1+(y/-2)-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9-1 = y/-2 strategic 1 OK clt 9-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:45.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:46.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/-2 strategic 2 NEXT_HINT In y/-2, y is divided by -2. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-2 strategic 3 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:03:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-2 = y/-2*-2 strategic 1 OK mt y/-2*-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-2 = y strategic 1 OK mt 8*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:07.0 HINT HINT ES_02 ES_02-7 EG41 y/9+2 = -10 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:08.0 HINT HINT ES_02 ES_02-7 EG41 y/9+2 = -10 strategic 2 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9+2 = -10 strategic 3 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9+2-2 = -10-2 strategic 1 OK clt y/9+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = -10-2 strategic 1 OK clt -10-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:26.0 HINT HINT ES_02 ES_02-7 EG41 y/9 = -12 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:26.0 HINT HINT ES_02 ES_02-7 EG41 y/9 = -12 strategic 2 NEXT_HINT In y/9, y is divided by 9. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = -12 strategic 3 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = -12*9 strategic 1 ERROR rf y/9*9 = -12*9 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = -12*9 strategic 2 OK mt -12*9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:04:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = -108 strategic 1 OK mt y/9*9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:00.0 HINT HINT ES_02 ES_02-7 EG41 -8 = 4+(y/-10) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:01.0 HINT HINT ES_02 ES_02-7 EG41 -8 = 4+(y/-10) strategic 2 NEXT_HINT 4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = 4+(y/-10) strategic 3 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-4 = 4+(y/-10)-4 strategic 1 OK clt 4+(y/-10)-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-4 = y/-10 strategic 1 OK clt -8-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12 = y/-10 strategic 1 BUG add -12 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:30.0 HINT HINT ES_02 ES_02-7 EG41 -12 = y/-10 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:31.0 HINT HINT ES_02 ES_02-7 EG41 -12 = y/-10 strategic 3 NEXT_HINT In y/-10, y is divided by -10. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12 = y/-10 strategic 4 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*-10 = y/-10*-10 strategic 1 OK mt y/-10*-10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*-10 = y strategic 1 OK mt -12*-10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:05:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+(y/-6) = 4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+(y/-6)-4 = 4-4 strategic 1 OK clt 4+(y/-6)-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6 = 4-4 strategic 1 OK clt 4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6 = 0 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6*-6 = 0*-6 strategic 1 OK mt y/-6*-6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 0*-6 strategic 1 OK mt 0*-6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:26.0 HINT HINT ES_02 ES_02-8 EG41 -8+(y/-5) = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:27.0 HINT HINT ES_02 ES_02-8 EG41 -8+(y/-5) = 0 strategic 2 NEXT_HINT -8 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(y/-5) = 0 strategic 3 BUG add -8 To remove -8 from the left side, you can add a positive to it. Erase your last step and add 8 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(y/-5) = 0 strategic 4 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(y/-5)+8 = 0+8 strategic 1 BUG typein 0 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(y/-5)+8 = 0+8 strategic 2 ERROR typein -8+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:06:57.0 HINT HINT ES_02 ES_02-8 EG41 -8+(y/-5)+8 = 0+8 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:07:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 1 OK typein +8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:07:16.0 HINT HINT ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:07:17.0 HINT HINT ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 3 NEXT_HINT Type in -8+(y/-5)+8 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:03.0 HINT HINT ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:04.0 HINT HINT ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 5 NEXT_HINT Type in -8+(y/-5)+8 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:18.0 HINT HINT ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:19.0 HINT HINT ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 7 NEXT_HINT Type in -8+(y/-5)+8 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+8 = -8+(y/-5)+8 strategic 8 OK typein -8+(y/-5)+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -8-y/5+8 strategic 1 OK clt -8-y/5+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 BUG y y
Perhaps you should fill in all the y terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:08:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 2 BUG y y
Perhaps you should fill in all the y terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:06.0 HINT HINT ES_02 ES_02-8 EG41 YR2 strategic 3 INITIAL_HINT y From the original equation at the top, select -y/5 and drag it to the correct box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 4 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 4 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +8 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:09:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -y/5 strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:19.0 HINT HINT ES_02 ES_02-8 EG41 8 = -y/5 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:20.0 HINT HINT ES_02 ES_02-8 EG41 8 = -y/5 strategic 3 NEXT_HINT In -y/5, y is multiplied by -1/5. How do you change the -1/5 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:24.0 HINT HINT ES_02 ES_02-8 EG41 8 = -y/5 strategic 4 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -5/1, which is the same as mulitplying by -5. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = -y/5 strategic 5 OK multiply -5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 1 BUG typein 8 You haven't performed any operations. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:53.0 HINT HINT ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:10:55.0 HINT HINT ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 3 NEXT_HINT Type in 8*-5 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:08.0 HINT HINT ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 4 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:08.0 HINT HINT ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 5 NEXT_HINT Type in 8*-5 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 6 OK typein 8*(-5) default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 7 OK typein -y/5*-5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-5 = -y/5*-5 strategic 8 OK mt -y/5*-5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:11:59.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 INITIAL_HINT -y/5 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR -5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 OK 5y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:38.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR 25y' default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 25y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 25y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR 25y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:12:58.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT 25y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 5y/5 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:13.0 HINT HINT ES_02 ES_02-8 EG41 8*-5 = 5y/5 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:14.0 HINT HINT ES_02 ES_02-8 EG41 8*-5 = 5y/5 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*-5 = 5y/5 strategic 3 OK mt 8*-5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK -40 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:53.0 HINT HINT ES_02 ES_02-8 EG41 -40 = 5y/5 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:54.0 HINT HINT ES_02 ES_02-8 EG41 -40 = 5y/5 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:13:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -40 = 5y/5 strategic 3 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 BUG y y
Perhaps you should fill in the denominator of the y factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:23.0 HINT HINT ES_02 ES_02-8 EG41 row2y strategic 2 INITIAL_HINT y Because there are no y factors in the denominator of 5y/5, you must double-click in order to enter a 1. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 BUG y+1 y+1
Perhaps you should fill in the common factor between the numerator and denominator of [y]/[1]. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 OK y/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:14:53.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:08.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 INITIAL_HINT 5 The common factor between the numerator and denominator of [5]/[5] is 5. This set of entry boxes represent the simplified form of [5]/[5]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 OK 5/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR 5./5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:22.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 INITIAL_HINT 5./5 The common factor between the numerator and denominator of [5]/[5] is 5. This set of entry boxes represent the simplified form of [5]/[5]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 3 ERROR y/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 4 ERROR y/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 5 ERROR y/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:15:51.0 HINT HINT ES_02 ES_02-8 EG41 row2y strategic 6 INITIAL_HINT y/1 You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:16:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 7 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:16:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session27 2005-11-07 14:16:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:30:30.0 HINT HINT ES_02 ES_02-8 EG41 6 = -5+(y/-9) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:30:31.0 HINT HINT ES_02 ES_02-8 EG41 6 = -5+(y/-9) strategic 2 NEXT_HINT -5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -5 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:30:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -5+(y/-9) strategic 3 BUG add -5 To remove -5 from the right side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:30:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -5+(y/-9) strategic 4 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:30:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = -5+(y/-9)+5 strategic 1 BUG typein 6 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = -5+(y/-9)+5 strategic 2 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = -5+(y/-9)+5 strategic 3 ERROR typein 10(y/-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:21.0 HINT HINT ES_02 ES_02-8 EG41 6+5 = -5+(y/-9)+5 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:22.0 HINT HINT ES_02 ES_02-8 EG41 6+5 = -5+(y/-9)+5 strategic 5 NEXT_HINT Type in -5+(y/-9)+5 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+5 = -5+(y/-9)+5 strategic 6 OK typein -5+y/-9+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -5-y/9+5 strategic 1 OK clt -5-y/9+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:31:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG -y/9 -y/9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -y/9, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 OK -5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK -y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK -y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/9 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -y/9 strategic 1 ERROR rf 11 = -y/9 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:43.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:44.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 3 NEXT_HINT In -y/9, y is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:32:47.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 4 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -9/1, which is the same as mulitplying by -9. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -y/9 strategic 5 ERROR multiply -9/y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:08.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 6 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:10.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 7 NEXT_HINT In -y/9, y is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -y/9 strategic 8 ERROR multiply -y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -y/9 strategic 9 ERROR clt 11 = -y/9 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -y/9 strategic 10 ERROR mt 11 = -y/9 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:55.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 11 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:33:57.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 12 NEXT_HINT In -y/9, y is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:34:03.0 HINT HINT ES_02 ES_02-8 EG41 11 = -y/9 strategic 13 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -9/1, which is the same as mulitplying by -9. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:34:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = -y/9 strategic 14 OK multiply -9/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:34:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = (-y/9)*(-9/1) strategic 1 BUG typein 11 You haven't performed any operations. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:34:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = (-y/9)*(-9/1) strategic 2 OK typein 11*-9/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = (-y/9)*(-9/1) strategic 3 ERROR typein -y/9*-9/1*-9/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = (-y/9)*(-9/1) strategic 4 OK typein -y/9*-9/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:36.0 HINT HINT ES_02 ES_02-8 EG41 11*-9/1 = -y/9*-9/1 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:37.0 HINT HINT ES_02 ES_02-8 EG41 11*-9/1 = -y/9*-9/1 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = -y/9*-9/1 strategic 3 ERROR clt 11*-9/1 = -y/9*-9/1 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = -y/9*-9/1 strategic 4 OK mt -y/9*-9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:35:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:36:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR -9/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:37:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-9/1 = -y/9*-9/1 strategic 5 OK mt 11*-9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:38:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -2 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:40:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -99 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:40:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -99/1 = -y/9*-9/1 strategic 1 OK mt -y/9*-9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:40:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR -9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:40:47.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT -9 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:40:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:03.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:14.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 9y/9 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:41.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = (9y/9)/1 strategic 1 INITIAL_HINT default_condition [SkillRule: invert-mult; {ivm}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:42.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = (9y/9)/1 strategic 2 NEXT_HINT Dividing by a fraction is the same as multiplying by its inverse. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:41:47.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = (9y/9)/1 strategic 3 NEXT_HINT Invert and multiply to convert the division to multiplication. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -99/1 = (9y/9)/1 strategic 4 OK ivm -99/1 = (9y/9)/1 strategic default_condition [SkillRule: invert-mult; {ivm}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:06.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = (9y/9)*(1/1) strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:07.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = (9y/9)*(1/1) strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -99/1 = (9y/9)*(1/1) strategic 3 OK mt (9y/9)*(1/1) default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:25.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 7 INITIAL_HINT y You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 8 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:46.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 INITIAL_HINT 1 You need to multiply the denominators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 5 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:42:57.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:43:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 9y/9 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:43:09.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = 9y/9 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:43:11.0 HINT HINT ES_02 ES_02-8 EG41 -99/1 = 9y/9 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:43:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -99/1 = 9y/9 strategic 3 OK rf -99/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:43:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 ERROR -99 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:43:26.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 2 INITIAL_HINT -99 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 BUG 1 1
Perhaps you should fill in the common factor between the numerator and denominator of [-99]/[1]. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK -99/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 ERROR -99/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 ERROR -99/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG 1 1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 5 ERROR -99/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 6 ERROR -99/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:44:51.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 7 INITIAL_HINT -99/1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:45:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 8 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:45:26.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT 1 Above is the simplified form of the expression -99/1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:45:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK -99 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:45:42.0 HINT HINT ES_02 ES_02-8 EG41 -99 = 9y/9 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:45:43.0 HINT HINT ES_02 ES_02-8 EG41 -99 = 9y/9 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:45:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -99 = 9y/9 strategic 3 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:12.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 9 INITIAL_HINT From the original equation at the top, select 9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 10 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:46:58.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 INITIAL_HINT 9 The common factor between the numerator and denominator of [9]/[9] is 9. This set of entry boxes represent the simplified form of [9]/[9]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:47:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:47:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 5 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:47:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:47:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:47:27.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-y strategic 3 INITIAL_HINT y The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:47:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 4 ERROR y/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:48:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG 1 1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:48:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 5 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:48:40.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT 1 Above is the simplified form of the expression 9y/9. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:48:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:01.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7 = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:02.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7 = 2 strategic 2 NEXT_HINT 10 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 10 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7 = 2 strategic 3 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:17.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:19.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 3 NEXT_HINT Type in 10+y/7-10 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:49:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 4 OK typein 10+y/7-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:50:21.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:50:21.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 6 NEXT_HINT Type in 2-10 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:50:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 7 BUG typein 10-2 You need to calculate 2 minus 10, not 10 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:50:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 8 BUG typein -2-10 -2-10 is equal to -2 minus 10. You need to calculate 2 minus 10. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:51:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7 = 2 strategic 4 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 9 OK typein 10+y/7-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 10 OK typein 2-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 11 ERROR mt 10+y/7-10 = 2-10 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:40.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 12 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:40.0 HINT HINT ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 13 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+y/7-10 = 2-10 strategic 14 OK clt 10+y/7-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:52:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/7 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7 = 2-10 strategic 1 OK clt 2-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:36.0 HINT HINT ES_02 ES_02-8 EG41 y/7 = -8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:36.0 HINT HINT ES_02 ES_02-8 EG41 y/7 = -8 strategic 2 NEXT_HINT In y/7, y is divided by 7. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7 = -8 strategic 3 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:53:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7*7 = -8*7 strategic 1 OK typein y/7*7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7*7 = -8*7 strategic 2 OK typein -8*7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:05.0 HINT HINT ES_02 ES_02-8 EG41 y/7*7 = -8*7 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:05.0 HINT HINT ES_02 ES_02-8 EG41 y/7*7 = -8*7 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7*7 = -8*7 strategic 5 OK mt y/7*7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR y/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:20.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 INITIAL_HINT y/7 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 OK 7y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:32.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK y*7/7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:44.0 HINT HINT ES_02 ES_02-8 EG41 y*7/7 = -8*7 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:45.0 HINT HINT ES_02 ES_02-8 EG41 y*7/7 = -8*7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y*7/7 = -8*7 strategic 3 OK mt -8*7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR -42 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:54:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -56 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:55:02.0 HINT HINT ES_02 ES_02-8 EG41 y*7/7 = -56 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:55:03.0 HINT HINT ES_02 ES_02-8 EG41 y*7/7 = -56 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session28 2005-11-16 08:55:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y*7/7 = -56 strategic 3 OK rf y*7/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:25:33.0 HINT HINT ES_02 ES_02-8 EG41 y/3-6 = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:25:34.0 HINT HINT ES_02 ES_02-8 EG41 y/3-6 = -3 strategic 2 NEXT_HINT -6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:25:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-6 = -3 strategic 3 BUG add -6 To remove -6 from the left side, you can add a positive to it. Erase your last step and add 6 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:25:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-6 = -3 strategic 4 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:26:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-6+6 = -3+6 strategic 1 OK typein y/3-6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:26:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-6+6 = -3+6 strategic 2 ERROR typein -6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:26:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-6+6 = -3+6 strategic 3 OK typein -3+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:17.0 HINT HINT ES_02 ES_02-8 EG41 y/3-6+6 = -3+6 strategic 4 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:18.0 HINT HINT ES_02 ES_02-8 EG41 y/3-6+6 = -3+6 strategic 5 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3-6+6 = -3+6 strategic 6 OK clt y/3-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK -6+6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:27:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3 = -3+6 strategic 1 OK clt -3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:23.0 HINT HINT ES_02 ES_02-8 EG41 y/3 = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:25.0 HINT HINT ES_02 ES_02-8 EG41 y/3 = 3 strategic 2 NEXT_HINT In y/3, y is divided by 3. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3 = 3 strategic 3 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 3*3 strategic 1 OK typein y/3*3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 3*3 strategic 2 OK typein 3*3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:28:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 3*3 strategic 3 OK mt y/3*3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR y/3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 3*3 strategic 4 OK mt 3*3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/3*3 = 9 strategic 1 OK mt y/3*3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:14.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 OK y3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:23.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR y9 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR 9y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:36.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT 9y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR y*/3 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK y*3/3 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:50.0 HINT HINT ES_02 ES_02-8 EG41 y*3/3 = 9 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:50.0 HINT HINT ES_02 ES_02-8 EG41 y*3/3 = 9 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:29:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y*3/3 = 9 strategic 3 OK rf y*3/3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 ERROR y1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:31.0 HINT HINT ES_02 ES_02-8 EG41 row2y strategic 3 INITIAL_HINT y1 You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 4 ERROR y/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 5 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 6 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:30:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 3 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:36.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 4 INITIAL_HINT 1 The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 5 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:31:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 3y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 ERROR u3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR y3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:14.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 13 INITIAL_HINT y3 Above is the simplified form of the expression y*3/3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:28.0 HINT HINT ES_02 ES_02-8 EG41 -5 = 7+x/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = 7+x/2 strategic 2 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = 7+x/2 strategic 3 BUG add -5 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:32:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = 7+x/2 strategic 4 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-7 = 7+x/2-7 strategic 1 OK typein -5-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-7 = 7+x/2-7 strategic 2 OK typein 7+x/2-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:27.0 HINT HINT ES_02 ES_02-8 EG41 -5-7 = 7+x/2-7 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:28.0 HINT HINT ES_02 ES_02-8 EG41 -5-7 = 7+x/2-7 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-7 = 7+x/2-7 strategic 5 OK clt 7+x/2-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:33:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/2 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:09.0 HINT HINT ES_02 ES_02-8 EG41 -5-7 = x/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:09.0 HINT HINT ES_02 ES_02-8 EG41 -5-7 = x/2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5-7 = x/2 strategic 3 OK clt -5-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -12 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = x/2 strategic 1 ERROR add 12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:28.0 HINT HINT ES_02 ES_02-8 EG41 -12 = x/2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:29.0 HINT HINT ES_02 ES_02-8 EG41 -12 = x/2 strategic 3 NEXT_HINT In x/2, x is divided by 2. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12 = x/2 strategic 4 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:34:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 1 ERROR typein -12*2-12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 2 ERROR typein -24*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:18.0 HINT HINT ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:19.0 HINT HINT ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 4 NEXT_HINT Type in -12*2 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 5 OK typein -12*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 6 OK typein x/2*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:40.0 HINT HINT ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 7 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:41.0 HINT HINT ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x/2*2 strategic 9 OK mt x/2*2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK x2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:35:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR x4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 4x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:08.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT 4x Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK x*2/2 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x*2/2 strategic 1 ERROR add 12 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:36.0 HINT HINT ES_02 ES_02-8 EG41 -12*2 = x*2/2 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:38.0 HINT HINT ES_02 ES_02-8 EG41 -12*2 = x*2/2 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -12*2 = x*2/2 strategic 4 OK mt -12*2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:54.0 HINT HINT ES_02 ES_02-8 EG41 -24 = x*2/2 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:54.0 HINT HINT ES_02 ES_02-8 EG41 -24 = x*2/2 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:36:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = x*2/2 strategic 3 OK rf x*2/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:06.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 2 from the denominator and drag it to the denominator of the constant factors box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 ERROR 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 ERROR x1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 2 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 3 ERROR x/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:37:32.0 HINT HINT ES_02 ES_02-8 EG41 row2X strategic 4 INITIAL_HINT x/1 You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 ERROR 2/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:16.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 INITIAL_HINT 2/1 The common factor between the numerator and denominator of [2]/[2] is 2. This set of entry boxes represent the simplified form of [2]/[2]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 5 OK 2/2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 5 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 6 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 2 OK x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 ERROR 1x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:38:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR 2/2 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR 2/2*1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK 2/2*x/1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:24.0 HINT HINT ES_02 ES_02-8 EG41 -24 = 2/2*x/1 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:25.0 HINT HINT ES_02 ES_02-8 EG41 -24 = 2/2*x/1 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = 2/2*x/1 strategic 3 OK mt 2/2*x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 2x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:39:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = x/1 strategic 1 OK rf x/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:02.0 HINT HINT ES_02 ES_02-8 EG41 -24 = x/1 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:02.0 HINT HINT ES_02 ES_02-8 EG41 -24 = x/1 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = x/1 strategic 4 OK rf x/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 2 OK x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 7 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 8 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 3 OK x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 3 ERROR 1/x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 4 ERROR x/11 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 5 ERROR x/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:47.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-X strategic 6 INITIAL_HINT x/1 The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 7 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 6 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:40:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 8 ERROR x/1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 9 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR 1/x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:23.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 14 INITIAL_HINT 1/x Above is the simplified form of the expression x/1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = y/-7+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:41:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-2 = y/-7+2-2 strategic 1 OK typein -3-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-2 = y/-7+2-2 strategic 2 OK typein y/-7+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-2 = y/-7+2-2 strategic 3 OK clt y/-7+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 3 OK -y/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK -y/7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK -2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK +2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:42:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK -2+2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/7 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-2 = -y/7 strategic 1 OK clt -3-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -y/7 strategic 1 ERROR add 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -y/7 strategic 2 ERROR divide 7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:39.0 HINT HINT ES_02 ES_02-8 EG41 -5 = -y/7 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:39.0 HINT HINT ES_02 ES_02-8 EG41 -5 = -y/7 strategic 4 NEXT_HINT In -y/7, y is multiplied by -1/7. How do you change the -1/7 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:43.0 HINT HINT ES_02 ES_02-8 EG41 -5 = -y/7 strategic 5 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -7/1, which is the same as mulitplying by -7. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:43:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -y/7 strategic 6 OK multiply -7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 1 ERROR typein -5-5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 2 ERROR typein -10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 3 ERROR typein -10*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 4 ERROR typein -5*-7-5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 5 ERROR typein -5-5*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -y/7 strategic 7 OK multiply -7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:45.0 HINT HINT ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 6 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:46.0 HINT HINT ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 7 NEXT_HINT Type in -5*-7 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:44:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 8 OK typein -5*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 9 OK typein -y/7*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:07.0 HINT HINT ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 10 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 11 ERROR clt -5*-7 = -y/7*-7 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = -y/7*-7 strategic 12 OK mt -y/7*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 7y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = y strategic 1 ERROR clt -5*-7 = y strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:45.0 HINT HINT ES_02 ES_02-8 EG41 -5*-7 = y strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:46.0 HINT HINT ES_02 ES_02-8 EG41 -5*-7 = y strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*-7 = y strategic 4 OK mt -5*-7 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:45:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR -35 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR -35 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR -35 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:28.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT -35 In the group above, you have [-5]*[-7]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 35 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:46.0 HINT HINT ES_02 ES_02-8 EG41 x/10-4 = -1 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:47.0 HINT HINT ES_02 ES_02-8 EG41 x/10-4 = -1 strategic 2 NEXT_HINT -4 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:46:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10-4 = -1 strategic 3 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10-4+4 = -1+4 strategic 1 OK typein x/10-4+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10-4+4 = -1+4 strategic 2 OK typein -1+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10-4+4 = -1+4 strategic 3 OK clt x/10-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK -4+4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/10 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10 = -1+4 strategic 1 OK clt -1+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:50.0 HINT HINT ES_02 ES_02-8 EG41 x/10 = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:51.0 HINT HINT ES_02 ES_02-8 EG41 x/10 = 3 strategic 2 NEXT_HINT In x/10, x is divided by 10. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:47:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10 = 3 strategic 3 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10*10 = 3*10 strategic 1 OK typein x/10*10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10*10 = 3*10 strategic 2 OK typein 3*10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/10*10 = 3*10 strategic 3 OK mt x/10*10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 10x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 10 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = 3*10 strategic 1 OK mt 3*10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 30 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:43.0 HINT HINT ES_02 ES_02-8 EG41 y/-4-1 = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:44.0 HINT HINT ES_02 ES_02-8 EG41 y/-4-1 = -3 strategic 2 NEXT_HINT -1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-1 = -3 strategic 3 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:48:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-1+1 = -3+1 strategic 1 OK typein y/-4-1+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-1+1 = -3+1 strategic 2 OK typein -3+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-1+1 = -3+1 strategic 3 OK clt y/-4-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 OK -y/4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK -y/4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK -1+1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:49:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:05.0 HINT HINT ES_02 ES_02-8 EG41 -y/4 = -3+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:06.0 HINT HINT ES_02 ES_02-8 EG41 -y/4 = -3+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4 = -3+1 strategic 3 OK clt -3+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -2 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4 = -2 strategic 1 ERROR add 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:24.0 HINT HINT ES_02 ES_02-8 EG41 -y/4 = -2 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:24.0 HINT HINT ES_02 ES_02-8 EG41 -y/4 = -2 strategic 3 NEXT_HINT In -y/4, y is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:29.0 HINT HINT ES_02 ES_02-8 EG41 -y/4 = -2 strategic 4 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -4/1, which is the same as mulitplying by -4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4 = -2 strategic 5 BUG multiply -2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4 = -2 strategic 6 OK multiply -4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*-4 = -2*-4 strategic 1 OK typein -y/4*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:50:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*-4 = -2*-4 strategic 2 OK typein -2*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*-4 = -2*-4 strategic 3 ERROR rf -y/4*-4 = -2*-4 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:05.0 HINT HINT ES_02 ES_02-8 EG41 -y/4*-4 = -2*-4 strategic 4 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:06.0 HINT HINT ES_02 ES_02-8 EG41 -y/4*-4 = -2*-4 strategic 5 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*-4 = -2*-4 strategic 6 OK mt -y/4*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK y4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -2*-4 strategic 1 OK mt -2*-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+3 = -3 strategic 1 BUG multiply -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:46.0 HINT HINT ES_02 ES_02-8 EG41 y/5+3 = -3 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:46.0 HINT HINT ES_02 ES_02-8 EG41 y/5+3 = -3 strategic 3 NEXT_HINT 3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+3 = -3 strategic 4 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:51:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+3-3 = -3-3 strategic 1 OK typein y/5+3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+3-3 = -3-3 strategic 2 OK typein -3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+3-3 = -3-3 strategic 3 OK clt y/5+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK +3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:34.0 HINT HINT ES_02 ES_02-8 EG41 y/5 = -3-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:35.0 HINT HINT ES_02 ES_02-8 EG41 y/5 = -3-3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = -3-3 strategic 3 OK clt -3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = -6 strategic 1 ERROR add 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:51.0 HINT HINT ES_02 ES_02-8 EG41 y/5 = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:52:52.0 HINT HINT ES_02 ES_02-8 EG41 y/5 = -6 strategic 3 NEXT_HINT In y/5, y is divided by 5. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = -6 strategic 4 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -6*5 strategic 1 OK typein y/5*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -6*5 strategic 2 OK typein -6*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -6*5 strategic 3 OK mt -6*5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -6*5 strategic 4 OK mt y/5*5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK y5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -6*5 strategic 1 OK mt -6*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 30 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:53:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -30 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -6/x strategic 1 ERROR add 4 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:05.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -6/x strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:05.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -6/x strategic 3 NEXT_HINT -6/x is -6 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -6/x strategic 4 ERROR multiply 6 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -6/x strategic 5 BUG multiply -6 To remove the coefficient of -6/x, you need to divide. Erase your last step and then divide both sides by -6. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:23.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -6/x strategic 6 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:24.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -6/x strategic 7 NEXT_HINT -6/x is -6 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:28.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -6/x strategic 8 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -6/x strategic 9 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -6/x*x strategic 1 OK mt -6/x*x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -6 strategic 1 ERROR divide x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:48.0 HINT HINT ES_02 ES_02-9 EG44 -4x = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:49.0 HINT HINT ES_02 ES_02-9 EG44 -4x = -6 strategic 3 NEXT_HINT -4x is -4 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -6 strategic 4 ERROR divide x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:58.0 HINT HINT ES_02 ES_02-9 EG44 -4x = -6 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:54:59.0 HINT HINT ES_02 ES_02-9 EG44 -4x = -6 strategic 6 NEXT_HINT -4x is -4 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:02.0 HINT HINT ES_02 ES_02-9 EG44 -4x = -6 strategic 7 NEXT_HINT Divide both sides by -4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = -6 strategic 8 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = -6/-4 strategic 1 ERROR mt -4x/-4 = -6/-4 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = -6/-4 strategic 2 ERROR rds -4x/-4 = -6/-4 strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = -6/-4 strategic 3 OK rf -4x/-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -6/-4 strategic 1 OK rf -6/-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 10/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 10/y*y strategic 1 OK mt 10/y*y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 10 strategic 1 ERROR mt 3y = 10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:49.0 HINT HINT ES_02 ES_02-9 EG44 3y = 10 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:50.0 HINT HINT ES_02 ES_02-9 EG44 3y = 10 strategic 3 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:55:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 10 strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:56:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y/3 = 10/3 strategic 1 OK rf 3y/3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session29 2005-11-18 08:56:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = 7/y strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:52:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = 4 strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:01.0 HINT HINT ES_02 ES_02-9 EG44 -5/y = 4 strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:02.0 HINT HINT ES_02 ES_02-9 EG44 -5/y = 4 strategic 3 NEXT_HINT -5/y is -5 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = 4 strategic 4 BUG multiply -5 To remove the coefficient of -5/y, you need to divide. Erase your last step and then divide both sides by -5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = 4 strategic 5 ERROR multiply 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:20.0 HINT HINT ES_02 ES_02-9 EG44 -5/y = 4 strategic 6 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:21.0 HINT HINT ES_02 ES_02-9 EG44 -5/y = 4 strategic 7 NEXT_HINT -5/y is -5 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = 4 strategic 8 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y*y = 4y strategic 1 ERROR clt -5/y*y = 4y strategic default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y*y = 4y strategic 2 OK mt -5/y*y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:42.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:43.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4y strategic 2 NEXT_HINT 4y is 4 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 4y strategic 3 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:54.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4y strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:55.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4y strategic 5 NEXT_HINT 4y is 4 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:53:59.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 4y strategic 6 NEXT_HINT Divide both sides by 4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:54:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 4y strategic 7 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:54:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/4 = 4y/4 strategic 1 OK rf 4y/4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:54:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = 4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:54:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x*x = 4x strategic 1 OK mt 2/x*x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:54:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:54:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/4 = 4x/4 strategic 1 OK rf 4x/4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/y = -4 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/y*y = -4y strategic 1 OK mt -9/y*y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/-4 = -4y/-4 strategic 1 OK rf -4y/-4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = 3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x*x = 3x strategic 1 OK mt 3/x*x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/3 = 3x/3 strategic 1 OK rf 3x/3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:55:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -4/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 1 BUG typein -2 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 2 OK typein -2*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 3 OK typein -4/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 4 ERROR multiply y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:37.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 5 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:38.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 6 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4/y*y strategic 7 OK mt -4/y*y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -4/y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:56:56.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 INITIAL_HINT -4 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 5 OK -4y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4 strategic 1 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4 strategic 2 ERROR rf -2y = -4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4 strategic 3 ERROR mt -2y = -4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:30.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -4 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:30.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -4 strategic 5 NEXT_HINT -2y is -2 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:34.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -4 strategic 6 NEXT_HINT Divide both sides by -2. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -4 strategic 7 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -4/-2 strategic 1 OK typein -2y/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:57:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -4/-2 strategic 2 OK typein -4/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/-2 = -4/-2 strategic 3 OK rf -2y/-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK -2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK -2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR -2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:58:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:10.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT Above is the simplified form of the expression -2y/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:18.0 HINT HINT ES_02 ES_02-10 EG44 y = -4/-2 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:19.0 HINT HINT ES_02 ES_02-10 EG44 y = -4/-2 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -4/-2 strategic 3 OK rf -4/-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 ERROR 4 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:33.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT 1 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -4/-2 strategic 4 OK rf -4/-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 13:59:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 6 ERROR -4-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 ERROR -6 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:07.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 8 INITIAL_HINT -6 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 9 ERROR -8 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 10 ERROR -2-4-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -4/-2 strategic 5 OK rf -4/-2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -4/-2 strategic 6 BUG rds y = -4/-2 strategic You already solved the equation. y is -4/-2. BUG default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:56.0 HINT HINT ES_02 ES_02-10 EG44 5 = 6/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:00:57.0 HINT HINT ES_02 ES_02-10 EG44 5 = 6/y strategic 2 NEXT_HINT 6/y is 6 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 6/y strategic 3 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 6/y strategic 4 ERROR divide 6 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:15.0 HINT HINT ES_02 ES_02-10 EG44 5 = 6/y strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:15.0 HINT HINT ES_02 ES_02-10 EG44 5 = 6/y strategic 6 NEXT_HINT 6/y is 6 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 6/y strategic 7 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6/y*y strategic 1 OK typein 5*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6/y*y strategic 2 OK typein 6/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:38.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6/y*y strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:38.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6/y*y strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6/y*y strategic 5 OK mt 6/y*y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 6y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:01:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 6y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR y6 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 6 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6 strategic 1 ERROR mt 5y = 6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6 strategic 2 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:18.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:19.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6 strategic 4 NEXT_HINT 5y is 5 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6 strategic 5 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:28.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6 strategic 6 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:29.0 HINT HINT ES_02 ES_02-10 EG44 5y = 6 strategic 7 NEXT_HINT 5y is 5 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y = 6 strategic 8 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5y/5 = 6/5 strategic 2 OK typein 6/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:02:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 8/x strategic 1 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:02.0 HINT HINT ES_02 ES_02-10 EG44 5 = 8/x strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:03.0 HINT HINT ES_02 ES_02-10 EG44 5 = 8/x strategic 3 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 8/x strategic 4 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:16.0 HINT HINT ES_02 ES_02-10 EG44 5 = 8/x strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:17.0 HINT HINT ES_02 ES_02-10 EG44 5 = 8/x strategic 6 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 8/x strategic 7 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = 8/x*x strategic 1 OK typein 5*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = 8/x*x strategic 2 OK typein 8/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = 8/x*x strategic 3 OK mt 8/x*x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 8x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 8 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:58.0 HINT HINT ES_02 ES_02-10 EG44 5x = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:03:59.0 HINT HINT ES_02 ES_02-10 EG44 5x = 8 strategic 2 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = 8 strategic 3 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x/5 = 8/5 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x/5 = 8/5 strategic 2 OK typein 8/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = -4/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -4/x*x strategic 1 OK typein 8*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -4/x*x strategic 2 OK typein -4/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -4/x*x strategic 3 OK mt -4/x*x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -4x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:04:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR *4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -4 strategic 1 ERROR divide x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -4 strategic 2 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -4/8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 6bJ4auIa8L session30 2005-11-18 14:05:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -4/8 strategic 2 OK typein -4/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra 77y7iIIXuv session14 2005-10-05 08:52:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK TIME SPENT TAKING SCUBA LESSONS default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:52:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK TOTLA COST default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:52:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 BUG 30 30
You entered 30 in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:53:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:53:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:53:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:54:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 192 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:54:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:54:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 BUG 25.50+90.75*X 25.50+90.75*X
Think about what changes and what doesn't. How much does total cost of scuba lessons change for each hour of time spent taking lessons? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:55:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 BUG 25.50*X 25.50*X
Total cost of scuba lessons increases by 25.5 each hour, but remember that it starts at 90.75 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:55:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 OK 90.75+25.50X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session14 2005-10-05 08:56:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 90.75+25.50*192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:23:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 30. default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:23:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 30. default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:23:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 INITIAL_HINT 30. 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:24:03.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:24:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 ERROR 90.75+25.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:24:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 ERROR 90.75+25.50*192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:24:53.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 INITIAL_HINT 90.75+25.50*192.75 You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:24:54.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:24:57.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session15 2005-10-05 10:25:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 ERROR 25.50* default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:14:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 90.75+25.5X=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:15:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5X = 192.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:15:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:15:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:15:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 BUG 90.75+25.5X=2385.75 90.75+25.5X=2385.75
Please check to make sure that 90.75+25.5X=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:16:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 90.75+25.5X = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:16:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session16 2005-10-06 10:16:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:19:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK AMOUNT OF CARPETS default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:19:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 BUG CARPETS CARPETS
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count CARPET? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:20:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 2 OK SQUAREYARD default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:20:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:20:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK THE TOTAL COST default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:20:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:21:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:21:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 ERROR 1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:21:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 2 OK 40.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:22:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:22:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 ERROR 13600 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:22:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 2 OK 1036 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:23:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 1 OK 12.95X=388.5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:23:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95X = 388.5 strategic 1 BUG multiply 12.95 To remove the coefficient of 12.95X, you need to divide. Erase your last step and then divide both sides by 12.95. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:23:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95X = 388.5 strategic 2 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:24:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:24:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 2 OK 12.95X=1036 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:24:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95X = 1036 strategic 1 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:24:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:25:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C1 1 OK AMOUNT OF MONEY SPENT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:25:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:25:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:26:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 1 OK NUMBER OF POINTS default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:26:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 1 BUG 5000 5000
Total number of travel points starts at 5000. How does it increase as X increases? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:26:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 2 ERROR 5000X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:26:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 3 BUG 5000 5000
Total number of travel points starts at 5000. How does it increase as X increases? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:26:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 4 BUG 5000X+5 5000X+5
Think about what changes and what doesn't. How much does total number of travel points change for each dollar of the amount spent on long distance? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:27:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 5 ERROR 5000*5 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:27:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 6 OK 5000+5X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:28:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 ERROR 4000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:28:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 2 OK 40.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:28:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:28:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 2 ERROR 5000+5*27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:30:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 3 OK 27.50*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:30:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:30:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:31:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 1 OK 5000+5X=46000 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:31:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5000+5X = 46000 strategic 1 BUG divide 5000 You want to isolate 5X by removing 5000 from the left side. 5000 is added to 5X. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:31:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5000+5X = 46000 strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:32:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 9200 strategic 1 ERROR mt 1000+X = 9200 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:32:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 9200 strategic 2 ERROR multiply 1000 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:32:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 9200 strategic 3 BUG divide 1000 You want to isolate X by removing 1000 from the left side. 1000 is added to X. What is the opposite of addition? BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:32:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 9200 strategic 4 BUG add 1000 Since 1000 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 1000 from both sides. BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:33:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 9200 strategic 5 OK subtract 1000 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:33:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:33:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 2 OK 5000+5X=27000 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:33:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5000+5X = 27000 strategic 1 BUG divide 5000 You want to isolate 5X by removing 5000 from the left side. 5000 is added to 5X. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:33:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5000+5X = 27000 strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 1000+X = 5400 strategic 1 OK subtract 1000 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:34:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:35:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 OK AREA OF CONSTRUCTION default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:35:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 BUG AREA AREA
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count AREA? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:35:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 2 ERROR MILES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:36:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 3 ERROR SQUARE PREFOOTAGE default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:36:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R2C1 4 INITIAL_HINT SQUARE PREFOOTAGE You need to enter a unit for measuring the area to be constructed. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:36:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R2C1 5 NEXT_HINT What would you say if you were measuring the area to be constructed? You would count one square foot, two square feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:36:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 6 OK SQUARE FOOT default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:37:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 OK COST OF CONSTRUCTION default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:37:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:37:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 BUG 2500 2500
You entered 2,500 in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 2 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:37:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK 49.50X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:38:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:38:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 ERROR 155 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:38:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 2 OK 90+155 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:38:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 OK 321750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:39:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 OK 42916.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:39:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 1 BUG 49.5X=321127 49.5X=321127
Please check to make sure that 49.5X=321127 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:39:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C 49.5X = 321127 strategic 1 OK divide 49.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:40:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 ERROR 64874141 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:40:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 2 ERROR 648741 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 3 ERROR 687.4141 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R6C1 4 INITIAL_HINT 687.4141 321750 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 321750 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R6C1 5 NEXT_HINT You know that the expression 49.5X represents the cost of construction. What value of the area to be constructed will make the general expression 49.5X output the given value of 321750 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R6C1 6 NEXT_HINT Since the general expression for the cost of construction is 49.5X and since the cost of construction in this question is 321750, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R6C1 7 NEXT_HINT Solve the equation 49.5X = 321750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C X = 6487.41414141 strategic 1 BUG clt X = 6487.41414141 strategic You already solved the equation. X is 6487.4141. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C X = 6487.41414141 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 8 ERROR 6487.4141 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:42:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 9 ERROR 6,487.4141 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:43:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 2 OK 49.5X=321750 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:43:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C 49.5X = 321750 strategic 1 OK divide 49.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:43:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 10 OK 6500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:44:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 3 OK 49.5X=42916.5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:44:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C 49.5X = 42916.5 strategic 1 OK divide 49.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 867 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:45:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK TIME default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:45:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:45:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK TOTAL DISTANCE default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session17 2005-10-07 08:45:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK MILES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:16:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 BUG 1250+750X 1250+750X
Think about what changes and what doesn't. How much does the total distance it has flown change for each hour of the time? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:16:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 ERROR 1250-750X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 3 ERROR 1250/750X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 4 INITIAL_HINT 1250/750X Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 5 NEXT_HINT First consider the initial value of the total distance it has flown. Next consider how the total distance it has flown will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance it has flown plus the change in the total distance it has flown for each hour times the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 7 NEXT_HINT Write an expression that means the same thing as 750 plus 1250 times the time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 8 OK 750+1250X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:17:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 ERROR 750+1250*1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:18:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 2 ERROR 750+1250* default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:19:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 3 ERROR 1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:19:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 4 INITIAL_HINT 1.5 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:19:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 5 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:19:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 6 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:20:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 7 BUG 750+1250*.5 750+1250*.5
You entered 1,375 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:20:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C2 1 OK 1375 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:20:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 8 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:21:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 BUG 1 1
1 is the amount of hours, but the question asks for one hour and thirty-six minutes. You need to convert this to hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:21:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 OK 1.6 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:22:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 ERROR 750+1250*3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:22:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:22:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:22:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 ERROR 3500 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:23:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 4 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:24:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 750+1250X=1750 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:24:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 750+1250X = 1750 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:24:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X = 1000 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session18 2005-10-07 10:25:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:43:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 ERROR 120 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:43:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 2 ERROR 1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:43:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 2 ERROR 1250+750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:43:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 3 INITIAL_HINT 1250+750 Read the problem statement. What information is given in question 4 about the total distance it has flown? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:43:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 4 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:43:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 5 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 6 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 3 ERROR 750 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 4 INITIAL_HINT 750 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 5 NEXT_HINT You know that the expression 1250X + 750 represents the total distance it has flown. What value of the time will make the general expression 1250X + 750 output the given value of 3500 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 6 NEXT_HINT Since the general expression for the total distance it has flown is 1250X + 750 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 7 NEXT_HINT Solve the equation 1250X + 750 = 3500. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250X+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X+750 = 3500 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B X+3/5 = 14/5 strategic 1 ERROR rf X+3/5 = 14/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:45:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B X+3/5 = 14/5 strategic 2 ERROR clt X+3/5 = 14/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:45:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B X+3/5 = 14/5 strategic 3 BUG add 3/5 Since 3/5 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 3/5 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:45:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B X+3/5 = 14/5 strategic 4 OK subtract 3/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:46:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 8 OK 11/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:46:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK NUMBER OF STUDENTS default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 BUG X X
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:48:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 BUG NUMBER OF STUDENT RECIVING AN A OR B NUMBER OF STUDENT RECIVING AN A OR B
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:48:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 2 BUG NUMBER OF STUDENT RECIVING AN A OR B IN MATH NUMBER OF STUDENT RECIVING AN A OR B IN MATH
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:48:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 3 BUG NUMBER OF STUDENT RECIVING AN A OR B IN ALGEBRA NUMBER OF STUDENT RECIVING AN A OR B IN ALGEBRA
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:49:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 4 BUG NUMBER OF STUDENT ERANING AN A OR B IN ALGEBRA NUMBER OF STUDENT ERANING AN A OR B IN ALGEBRA
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:49:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 5 BUG STUDENTS THAT HAVE A AND B STUDENTS THAT HAVE A AND B
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:50:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 6 BUG NUMBER OF NUMBER OF
NUMBER of what? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 7 BUG NUMBER OF NUMBER OF
NUMBER of what? BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 8 OK NUMBER OF STUDENTS ENROLLED IN ALGEBRA default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 2 ERROR 15X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 3 INITIAL_HINT 15X Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:31.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 4 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:35.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 5 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:38.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 6 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So percent is the same as 0.15 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 7 ERROR 0.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:51:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 8 OK 0.15X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:52:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:52:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:52:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:53:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 1 OK 0.15X=48 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15X = 48 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:53:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 OK 320 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:53:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 2 OK 0.15X=9 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:53:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15X = 9 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:53:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:54:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C1 1 OK NUMBER OF PEOPLE default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:54:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C2 1 OK COST OF THE CAKE default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C2 1 OK 1.25X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C2 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C2 1 OK 56.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:55:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B ValidEquations 1 OK 1.25X=100 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:56:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B 1.25X = 100 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:56:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:56:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B ValidEquations 2 OK 1.25X=56.25 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:56:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B 1.25X = 56.25 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:56:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 1 OK 45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:57:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R1C1 1 OK THE CURRENT PAY default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:57:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C1 1 ERROR MONET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:57:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C1 2 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:57:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:58:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R1C2 1 OK THE EMPLOYEE'S RAISE default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:58:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C2 1 ERROR [MPLOYEES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:58:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C2 2 ERROR EMPLOYEES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:58:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C2 3 BUG RAISE RAISE
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count RAISE? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:58:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R2C2 4 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:20.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 1 INITIAL_HINT Enter an expression to calculate the raise using the current salary. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 2 NEXT_HINT What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 3 NEXT_HINT Write an expression that means the same thing as 3 percent of the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:31.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04B R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 3 percent is the same as 0.03 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 5 ERROR 0.03 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R3C2 6 OK 0.03X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 11:59:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R4C1 1 OK 19500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:00:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R5C1 1 OK 47000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:00:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R6C2 1 OK 4500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:00:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R7C2 1 OK 2625 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:00:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B ValidEquations 1 OK 0.03X=4500 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:00:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B 0.03X = 4500 strategic 1 OK divide 0.03 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:01:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R6C1 1 OK 150000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:01:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B ValidEquations 2 OK 0.03X=2625 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:01:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B 0.03X = 2625 strategic 1 OK divide 0.03 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:01:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04B R7C1 1 OK 87500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 OK THE GROSS PAY default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 OK THE TAKE-HOME PAY default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 ERROR 0.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 2 ERROR 0.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 3 ERROR 0.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:02:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 4 OK 0.65X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:03:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:03:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 ERROR 4000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:03:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 2 ERROR 4000*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:03:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 3 OK 40000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:04:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:04:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B ValidEquations 1 OK 0.65X=3250 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:04:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B 0.65X = 3250 strategic 1 OK divide 0.65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:04:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:04:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B ValidEquations 2 OK 0.65X=1673.75 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:05:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B 0.65X = 1673.75 strategic 1 OK divide 0.65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session19 2005-10-07 12:05:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 2575 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 11:59:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C1 1 OK TIME WORKED default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 11:59:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 11:59:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 11:59:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C2 1 ERROR TOTLAL PAY default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:00:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C2 2 BUG YOUR TOTAL EARNINGS YOUR TOTAL EARNINGS
Try the money earned. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:00:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C2 3 OK THE MONEY EARNED default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:00:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:00:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 1 OK 10.50X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:01:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R4C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:01:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 1 OK 10.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:01:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R6C2 1 OK 550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:01:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R7C2 1 ERROR 22000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:02:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R7C2 2 OK 2200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:02:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 ValidEquations 1 OK 10.5X=550 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:02:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 10.5X = 550 strategic 1 OK divide 10.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:03:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 X = 52.38095238 strategic 1 BUG divide 10.50 You already solved the equation. X is 52.381. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:03:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R6C1 1 OK 52.381 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:03:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 ValidEquations 2 OK 10.5X=2200 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:04:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 10.5X = 2200 strategic 1 OK divide 10.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:04:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R7C1 1 OK 209.52 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:05:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R1C1 1 OK TIME default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:05:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C1 1 BUG HOURS HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:05:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C1 2 OK SECONDS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:05:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:05:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R1C2 1 OK DISTANCE default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:05:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:06:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R3C2 1 BUG 100-2.9*X 100-2.9*X
Does the total distance the Crawler has traveled go up or down when the time increases? BUG default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:06:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R3C2 2 OK 100+2.9*X default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:06:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:06:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R5C1 1 BUG 4 4
4 is the the time in minutes, but we want to use seconds. How many seconds are in four more minutes? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session20 2005-10-11 12:07:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R5C1 2 OK 4*60 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:30:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C2 1 OK 5000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:30:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R7C2 1 OK 1927 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:31:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 ValidEquations 1 OK 100+2.9X=5000 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:31:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 100+2.9X = 5000 strategic 1 OK divide 2.9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:32:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 1 ERROR clt 34.48275862+X = 1724.13793103 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:33:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 2 ERROR multiply 344828 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:33:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 3 ERROR mt 34.48275862+X = 1724.13793103 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:33:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 4 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:33:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 5 NEXT_HINT 34.4828 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 34.4828 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:33:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 6 NEXT_HINT You can subtract 34.4828 from both sides of the equation to eliminate the constant value of 34.4828 (34.4828 - 34.4828 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 7 ERROR subtract 344828 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:34:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 8 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:34:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 9 NEXT_HINT 34.4828 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 34.4828 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:34:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 10 NEXT_HINT You can subtract 34.4828 from both sides of the equation to eliminate the constant value of 34.4828 (34.4828 - 34.4828 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:34:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 11 ERROR add 344828 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:35:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 12 ERROR divide 34482 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:35:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 13 ERROR multiply 344828 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:35:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 14 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:35:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 15 NEXT_HINT 34.4828 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 34.4828 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:35:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 16 NEXT_HINT You can subtract 34.4828 from both sides of the equation to eliminate the constant value of 34.4828 (34.4828 - 34.4828 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:35:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 17 ERROR clt 34.48275862+X = 1724.13793103 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:36:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 18 BUG subtract 1724.1379 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:37:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 19 ERROR subtract 344828 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 34.48275862+X = 1724.13793103 strategic 20 ERROR squareroot 34.48275862+X = 1724.13793103 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:40:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 100+2.9X = 5000 strategic 2 OK subtract 100 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:40:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 2.9X = 4900 strategic 1 OK divide 2.9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:40:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C1 1 ERROR 1689.6 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:41:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C1 2 OK 1689.6552 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:41:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 ValidEquations 2 OK 100+2.9X=1927 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:41:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 100+2.9X = 1927 strategic 1 OK subtract 100 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:41:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 2.9X = 1827 strategic 1 OK divide 2.9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:42:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R7C1 1 OK 630 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:43:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R1C1 1 OK RESTAURANT BILL default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:43:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:43:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:43:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R1C2 1 OK THE TIP default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R3C2 1 ERROR 155X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R3C2 2 ERROR 155X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R3C2 3 ERROR 155X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:30.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03C R3C2 4 INITIAL_HINT 15%X Enter an expression to calculate the tip using the restaurant bill. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03C R3C2 5 NEXT_HINT What part of the restaurant bill is the tip? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:37.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03C R3C2 6 NEXT_HINT Write an expression that means the same thing as 15 percent of the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:41.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03C R3C2 7 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 15 percent is the same as 0.15 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:44:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03C R3C2 8 NEXT_HINT Enter 0.15X. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:45:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R3C2 9 OK 0.15X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:45:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R4C1 1 OK 22.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:45:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R5C1 1 OK 31.25 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:45:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R6C2 1 OK 13.35 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R7C2 1 OK 9.75 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:46:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C ValidEquations 1 OK 0.15X=13.35 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C 0.15X = 13.35 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:46:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R6C1 1 OK 89.00 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:46:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C ValidEquations 2 OK 0.15X=9.75 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:46:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C 0.15X = 9.75 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03C R7C1 1 OK 65.00 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:47:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C1 1 OK NUMBER OF SNOW CONES default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:48:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:48:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C2 1 OK THE PROFIT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:48:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:48:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 1 BUG 100+.75X 100+.75X
Does the profit start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:49:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 2 ERROR 100-.75X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 3 OK -100+.75X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:49:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:49:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R5C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:49:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R6C2 1 OK 350 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:49:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R7C2 1 OK 475.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 1 OK -100+0.75X=350 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 350 strategic 1 BUG subtract 100 Since -100 is negative, you should add to remove it from the left side. Erase your last step and add 100 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:50:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 350 strategic 2 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:50:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 350 strategic 3 BUG subtract 100 Since -100 is negative, you should add to remove it from the left side. Erase your last step and add 100 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:50:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 350 strategic 4 OK add 100 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:50:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75X = 450 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:51:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R6C1 1 OK 600 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:51:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 2 OK -100+0.75X=475.25 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A -100+0.75X = 475.25 strategic 1 OK add 100 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:51:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75X = 575.25 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:51:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R7C1 1 OK 767 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:52:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 1 BUG THE LENGTH OF THE MOBIL TELEPHONE THE LENGTH OF THE MOBIL TELEPHONE
Try the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 2 OK THE LENGTH OF THE PHONE CALL default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:53:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 1 OK MINUTES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:53:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:53:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 1 OK THE TOTAL COST OF THE CALL default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:53:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 1 BUG 0.50+3.00X 0.50+3.00X
Think about what changes and what doesn't. How much does the cost of a mobile telephone call change for each minute of the length of the phone call? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 2 BUG .50X .50X
The cost of a mobile telephone call increases by 0.5 each minute, but remember that it starts at 3 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 3 ERROR 300+0.50X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:39.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 4 INITIAL_HINT 300+0.50X Enter an expression to calculate the cost of a mobile telephone call using the length of the phone call. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:41.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 5 NEXT_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:47.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of the cost of a mobile telephone call plus the change in the cost of a mobile telephone call for each minute times the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:51.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 7 NEXT_HINT Write an expression that means the same thing as 3.00 dollars plus 0.5 times the length of the phone call. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:54:57.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 8 NEXT_HINT Enter 3.00 plus 0.5X HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:55:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 9 OK 3.00+0.50X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:55:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 1 OK 3.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:55:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 1 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:55:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C2 1 OK 7.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:56:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C2 1 OK 23.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session21 2005-10-14 08:56:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 1 OK 3+0.5X=7 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:49:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 1 OK 3+0.5X=7 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:49:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 2 OK 3+0.5X=7 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:49:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 3+0.5X = 7 strategic 1 OK divide 0.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:50:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 3+0.5X = 7 strategic 2 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5X = 4 strategic 1 OK divide 0.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:50:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 1 OK 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:50:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 3 OK 3+0.5X=23.5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:50:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 3+0.5X = 23.5 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:51:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5X = 20.5 strategic 1 OK divide 0.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 1 OK 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:51:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 BUG THE CELLULAR TIME THE CELLULAR TIME
Try the cellular phone time used next month. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:52:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 2 OK THE CELLULAR TIME USED NEXT MONTH default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 BUG HOURS HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:53:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 2 OK MINUTES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:53:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:53:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK AMOUNT OF THE NEXT BILL default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:53:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:54:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 BUG 5.26+0.21X 5.26+0.21X
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 2 OK -5.26+0.21X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:54:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:54:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:55:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:55:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK -5.26+0.21X=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:55:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 1 BUG subtract 5.26 Since -5.26 is negative, you should add to remove it from the left side. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:55:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 2 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:56:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:56:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:56:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK -5.26+0.21X=20 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:56:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 20 strategic 1 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:56:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 25.26 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:57:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:59:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C1 1 OK THE COST OF THE ITEMS default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:59:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:59:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 09:59:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C2 1 OK THE COST OF THE ORDER default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:00:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 1 ERROR -20+2 0%X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:17.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R4C2 1 INITIAL_HINT You are given a value for the cost of the items. Find the total cost of the order. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R4C2 2 NEXT_HINT You are given a value for the cost of the items. Find the total cost of the order by calculating 0.8 times the cost of the items plus 20. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 2 INITIAL_HINT -20+2 0%X Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:41.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 3 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 20%."). The other is that you need to add the flat fee of $20 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:47.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 4 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 20%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 5 NEXT_HINT Discounting each item in the order by 20%. means subtracting 0.2 times the cost of the items. So the discount is 0.2X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.2X. Don't forget the flat fee of $20 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:01:55.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 6 NEXT_HINT Write an expression that means the cost of the items minus 0.2 times the cost of the items plus the flat fee of $20 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:02:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 7 NEXT_HINT Enter X-0.2X+20 (you could also enter 0.8X + 20, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:02:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 8 OK 0.8X+20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:03:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R4C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:03:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R5C1 1 OK 400 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:03:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C2 1 OK 281.60 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:03:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C2 1 ERROR 100. default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:03:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C2 2 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:03:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 1 OK 0.8X+20=281.6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X+20 = 281.6 strategic 1 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X+20 = 281.6 strategic 2 OK subtract 20 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X = 261.6 strategic 1 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C1 1 OK 327.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 2 OK 0.8X+20=100 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X+20 = 100 strategic 1 OK subtract 20 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X = 80 strategic 1 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:04:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C1 1 OK 100.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:05:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 1 BUG THE NUMBER OF DOLLARS THE NUMBER OF DOLLARS
Not every problem is about money. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:05:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 2 OK THE NUMBER OF HOURS default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:05:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:05:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:06:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 1 OK THE TEMPERATURE OF THE LIQUID default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:06:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 1 ERROR TEMP default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:10:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 2 BUG TEMPERATURE TEMPERATURE
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TEMPERATURE? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:11:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 3 OK DEGREES CELSIUS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:12:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 1 ERROR 28X default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:13:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 2 ERROR -240-28X default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:14:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 3 OK -28-3.5X default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:15:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:15:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:15:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:15:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 1 BUG 84 84
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:15:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 2 OK -84 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:15:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 1 OK -28-3.5X=0 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:16:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5X = 0 strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:17:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5X = 28 strategic 1 BUG divide 3.5 In this equation, X is multiplied by -3.5. Dividing by 3.5 leaves -X, so you still need to remove the negative sign. It is better to divide by -3.5, since that would leave X. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:17:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5X = 28 strategic 2 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:17:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:18:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 2 OK -28-3.5X=-84 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:18:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5X = -84 strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:18:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5X = -56 strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:18:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C1 1 OK 16 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:19:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 1 OK THE DIGGING TIME default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:19:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 1 BUG HOURS HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:19:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 2 OK MONTH default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:19:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:20:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 1 OK THE DEPTH OF THE MINE default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:20:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:20:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 1 ERROR 1375X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:20:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C2 1 ERROR . default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:20:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 2 ERROR 1375+9X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:20:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C2 2 ERROR . default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:22:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 3 OK -1375-9X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:23:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 BUG 4 4
4 is the the digging time in years, but we want to use months. How many months are in four years? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:23:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 2 OK 4*12 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:23:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 ERROR 4*100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:23:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:23:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 3 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:23:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 4 ERROR 12-10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 5 OK -120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 1 ERROR 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 2 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 1 BUG 2068 2068
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 2 ERROR -*2068 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 3 ERROR -*2068 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:24:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 4 OK -2068 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:25:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9X=0 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:25:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 0 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:25:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 1375 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:25:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 BUG 1375/9 1375/9
Use parentheses. Type (0 - -1375)/ -9 as (0 - -1375)/ -9 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session22 2005-10-14 10:26:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 2 ERROR 1375/6 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:57:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9X=0 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:57:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 0 strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:57:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 1375 strategic 1 BUG divide 9 In this equation, X is multiplied by -9. Dividing by 9 leaves -X, so you still need to remove the negative sign. It is better to divide by -9, since that would leave X. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:58:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 1375 strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:58:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 OK -1375/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:58:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 BUG -1375-9X=206 -1375-9X=206
Please check to make sure that -1375-9X=206 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:58:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 206 strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:58:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 1581 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:59:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 1 ERROR -527/3 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:59:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 2 ERROR -527/3 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:59:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 BUG -1375-9X=2068 -1375-9X=2068
Please check to make sure that -1375-9X=2068 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 11:59:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 2068 strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:00:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 3443 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:00:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 3 ERROR 3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:00:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 4 ERROR 3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:00:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 5 BUG 9/3443 9/3443
Subtract -1375 from -2068, and then divide the result by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:01:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 6 ERROR 3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:01:06.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 7 INITIAL_HINT 3443/9 -2068 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output -2068 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:01:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 8 NEXT_HINT You know that the expression -1375 - 9X represents the depth of the mine. What value of the digging time will make the general expression -1375 - 9X output the given value of -2068 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:01:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 9 NEXT_HINT Since the general expression for the depth of the mine is -1375 - 9X and since the depth of the mine in this question is -2068, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:01:15.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 10 NEXT_HINT Solve the equation -1375 - 9X = -2068. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:01:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 11 ERROR -3443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:02:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 12 ERROR -3,443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:02:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 13 ERROR -3,443/-9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:02:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R7C1 14 INITIAL_HINT -3,443/-9 Solve the equation -1375 - 9X = -2068. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:02:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 15 ERROR -3,443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:03:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 16 ERROR -3,443/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:04:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 4 OK -1375-9X=-2068 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:04:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = -2068 strategic 1 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:04:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = -693 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session23 2005-10-18 12:04:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 17 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:17:42.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:17:49.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 1 ERROR rf (2y-3)/2 = 5/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:00.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG subtract 3 Since -3 is negative, you should add to remove it from the left side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:13.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 ERROR multiply 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:16.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)*3 = 5*3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:18.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)*3 = 5*3 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:24.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:31.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:18:53.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3+3)/2 = (5+3)/2 strategic 1 BUG divide 2 To remove the coefficient of [2y-3+3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:19:05.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3+3)/2 = (5+3)/2 strategic 2 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:19:16.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3+3)/2*2 = (5+3)/2*2 strategic 1 ERROR subtract 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:19:39.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3+3)/2*2 = (5+3)/2*2 strategic 2 ERROR subtract .32 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:19:46.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3+3)/2*2 = (5+3)/2*2 strategic 3 ERROR subtract .2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:20:04.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3+3)/2*2 = (5+3)/2*2 strategic 4 OK clt 2y-3+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:20:11.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2*2 = (5+3)/2*2 strategic 1 OK clt 5+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:20:25.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2*2 = 8/2*2 strategic 1 ERROR rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:21:23.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2*2 = 8/2*2 strategic 2 OK mt 8/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:21:38.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2*2 = 16/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:21:39.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2*2 = 16/2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:21:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2*2 = 16/2 strategic 3 OK mt 2y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:21:50.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 4y/2 = 16/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:21:51.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 4y/2 = 16/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:00.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 4y/2 = 16/2 strategic 3 OK rf 16/2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:09.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 4y/2 = 8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:11.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 4y/2 = 8 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:14.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 4y/2 = 8 strategic 3 NEXT_HINT Put the equation in its simplest form. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 4y/2 = 8 strategic 4 OK rf 4y/2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:38.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:39.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:51.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:58.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:22:59.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:23:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:23:17.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:23:19.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:23:23.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 3 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:23:47.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-7)*-9 strategic 1 ERROR mt (-8-7)*-9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:23:58.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-7)*-9 strategic 2 BUG multiply -8 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:05.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-7)*-9 strategic 3 OK clt -8-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:08.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -15*-9 strategic 1 OK mt -15*-9 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:18.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(8-6) strategic 1 ERROR mt -6(8-6) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:24.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(8-6) strategic 2 OK clt 8-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6*2 strategic 1 OK mt -6*2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:37.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-6)*-7 strategic 1 OK clt -5-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:40.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -11*-7 strategic 1 ERROR clt -11*-7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:44.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -11*-7 strategic 2 OK mt -11*-7 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:52.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4*3-7 strategic 1 ERROR clt 4*3-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:57.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4*3-7 strategic 2 OK mt 4*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:24:59.0 CYCLE CYCLE ES_02 ES_02-1 EG29 12-7 strategic 1 OK clt 12-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:08.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-5*-2 strategic 1 ERROR clt -2-5*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:14.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-5*-2 strategic 2 OK mt 5*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:17.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-(-10) strategic 1 OK clt -2-(-10) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:24.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(4+3) strategic 1 ERROR mt -6(4+3) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:26.0 HINT HINT ES_02 ES_02-1 EG31 -6(4+3) strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:33.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(4+3) strategic 3 OK clt 4+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:37.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6*7 strategic 1 OK mt -6*7 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:45.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(7-6) strategic 1 OK clt 7-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:47.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*1 strategic 1 OK mt -8*1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:55.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-5*5 strategic 1 OK mt 5*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:25:58.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-25 strategic 1 OK clt 7-25 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:15.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (5+0)*-10 strategic 1 OK clt 5+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:18.0 CYCLE CYCLE ES_02 ES_02-1 EG30 5*-10 strategic 1 OK mt 5*-10 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:24.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-3*-2 strategic 1 OK mt 3*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:27.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-(-6) strategic 1 OK clt -8-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:33.0 CYCLE CYCLE ES_02 ES_02-1 EG28 6-8*6 strategic 1 OK mt 8*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:36.0 CYCLE CYCLE ES_02 ES_02-1 EG28 6-48 strategic 1 OK clt 6-48 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:26:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-4-9) strategic 1 OK clt -4-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:27:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -13*-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:27:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -13*-1 strategic 1 OK mt -13*-1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:27:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -13 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:27:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -13 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:27:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -13*-1 strategic 2 OK mt -13*-1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:28:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -14 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:28:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 13 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:29:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (3+8)*-2 strategic 1 ERROR mt (3+8)*-2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:29:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (3+8)*-2 strategic 2 OK clt 3+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:29:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 11*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:29:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 11*-2 strategic 1 OK mt 11*-2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:29:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -22 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:29:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+0*10 strategic 1 OK mt 0*10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 2 2
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 BUG 2 2
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 BUG 2 2
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 BUG 2 2
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR 2- default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:25.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 7 INITIAL_HINT 2- You need to perform multiplication in 2+0*10. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK 2+.0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+0 strategic 1 OK clt 2+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:30:52.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6*-2+5 strategic 1 ERROR clt 6*-2+5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6*-2+5 strategic 2 OK mt 6*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG -7 -7
Just multiply 6*-2. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR 123 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:52.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 10 INITIAL_HINT 123 You need to perform multiplication in 6*-2+5. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:31:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6*-2+5 strategic 3 OK mt 6*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 11 ERROR 12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 12 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 13 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 14 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 15 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 16 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 17 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 18 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 19 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 20 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 21 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 22 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 23 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 24 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 25 ERROR -12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 26 BUG -7 -7
Just multiply 6*-2. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 27 BUG -7 -7
Just multiply 6*-2. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6*-2+5 strategic 4 ERROR clt 6*-2+5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:32:53.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6*-2+5 strategic 5 OK mt 6*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:33:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 28 OK -12+5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:33:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -12+5 strategic 1 ERROR mt -12+5 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:33:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -12+5 strategic 2 OK clt -12+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:33:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 29 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:33:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-8)*-4 strategic 1 OK clt -3-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:33:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -11+-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:34:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -11+(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:34:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -11*(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:34:20.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -11*-4 strategic 1 OK mt -11*-4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:34:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR -15 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:34:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 44 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:34:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9(7-6) strategic 1 OK clt 7-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 9*1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9*1 strategic 1 OK mt 9*1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 9*1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9*1 strategic 2 OK mt 9*1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 9 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-4*-7 strategic 1 OK mt 4*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:35:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -13 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR 28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR 28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR 28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR 28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:32.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-4*-7 strategic 2 ERROR clt -9-4*-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:36:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-4*-7 strategic 3 OK mt 4*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:37:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR 63 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:37:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 ERROR 28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:37:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR -28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:37:46.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 10 INITIAL_HINT -28 You need to perform multiplication in -9-4*-7. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:38:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 11 BUG -9-28 -9-28
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:38:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 12 OK -9--28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:38:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+28 strategic 1 OK clt -9+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:38:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 13 OK -9+28 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:38:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+28 strategic 2 ERROR mt -9+28 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-4*-7 strategic 4 ERROR clt -9-4*-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-4*-7 strategic 5 OK mt 4*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:09.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 14 OK -9--28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+28 strategic 3 OK clt -9+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 15 OK 19 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*1 strategic 1 ERROR clt -6-2*1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*1 strategic 2 ERROR clt -6-2*1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*1 strategic 3 OK mt 2*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:39:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -6--2 -6--2
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:40:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -6-2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:40:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2 strategic 1 OK clt -6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:41:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:41:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:41:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-9*-8 strategic 1 OK mt 9*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:42:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -3--72 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:42:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+72 strategic 1 OK clt -3+72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:42:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 69 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-4*6 strategic 1 ERROR clt -1-4*6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-4*6 strategic 2 OK mt 4*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -1--24 -1--24
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -1-24 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-24 strategic 1 OK clt -1-24 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -24 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -245 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -25 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:44:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+10*5 strategic 1 OK mt 10*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:44:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 50+5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:44:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 50+5 strategic 1 OK clt 50+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:44:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 55 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:45:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-9*-6 strategic 1 OK mt 9*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:46:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -9-54 -9-54
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:46:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -9--54 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:46:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+54 strategic 1 OK clt -9+54 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:46:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 45 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:47:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-5*0 strategic 1 OK mt 5*0 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:47:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -7--0 -7--0
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:47:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -7--0 -7--0
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:47:56.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -7-0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-0 strategic 1 OK clt -7-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-5-2 strategic 1 ERROR clt 1*-5-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-5-2 strategic 2 OK mt 1*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -5-2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:48:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-2 strategic 1 OK clt -5-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 9+8*5 strategic 1 OK mt 8*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -+40 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 9+40 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 9+40 strategic 1 OK clt 9+40 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 49 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:48.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (20-1)*-11 strategic 1 OK clt 20-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:51.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = 19*-11 strategic 1 OK mt 19*-11 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:49:58.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = -5(27-44) strategic 1 OK clt 27-44 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:00.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = -5*-17 strategic 1 ERROR rf y = -5*-17 strategic default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:03.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = -5*-17 strategic 2 OK mt -5*-17 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:11.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -46-16*-11 = x strategic 1 OK mt 16*-11 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:15.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -46-(-176) = x strategic 1 OK clt -46-(-176) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:24.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -13-3*-36 strategic 1 OK mt 3*-36 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:28.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -13-(-108) strategic 1 OK clt -13-(-108) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:39.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = -4(9-8) strategic 1 ERROR mt x = -4(9-8) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:43.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = -4(9-8) strategic 2 OK clt 9-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:45.0 CYCLE CYCLE ES_02 ES_02-3 EG35 x = -4*1 strategic 1 OK mt -4*1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (46-42)*-11 = x strategic 1 ERROR mt (46-42)*-11 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:50:58.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (46-42)*-11 = x strategic 2 OK clt 46-42 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:03.0 CYCLE CYCLE ES_02 ES_02-3 EG34B 4*-11 = x strategic 1 OK mt 4*-11 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:27.0 CYCLE CYCLE ES_02 ES_02-3 EG34C (-7-13)*13 = y strategic 1 ERROR mt (-7-13)*13 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:30.0 CYCLE CYCLE ES_02 ES_02-3 EG34C (-7-13)*13 = y strategic 2 OK clt -7-13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:33.0 CYCLE CYCLE ES_02 ES_02-3 EG34C -20*13 = y strategic 1 OK mt -20*13 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:44.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -50(29+45) = y strategic 1 ERROR mt -50(29+45) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:48.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -50(29+45) = y strategic 2 OK clt 29+45 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:51:51.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -50*74 = y strategic 1 OK mt -50*74 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:52:01.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (5-4)*-4 strategic 1 OK clt 5-4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:52:03.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = 1*-4 strategic 1 OK mt 1*-4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:02.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -24(9-18) strategic 1 ERROR mt x = -24(9-18) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:08.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -24(9-18) strategic 2 OK clt 9-18 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:11.0 CYCLE CYCLE ES_02 ES_02-3 EG35B x = -24*-9 strategic 1 OK mt -24*-9 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:31.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = -7(9+3) strategic 1 ERROR mt y = -7(9+3) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:35.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = -7(9+3) strategic 2 ERROR mt y = -7(9+3) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:39.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = -7(9+3) strategic 3 OK clt 9+3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:41.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = -7*12 strategic 1 OK mt -7*12 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:49.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = (-34-17)*-15 strategic 1 OK clt -34-17 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:53:52.0 CYCLE CYCLE ES_02 ES_02-3 EG34B x = -51*-15 strategic 1 OK mt -51*-15 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:54:01.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -21(-17-7) = x strategic 1 ERROR mt -21(-17-7) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:54:05.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -21(-17-7) = x strategic 2 ERROR mt -21(-17-7) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:54:08.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -21(-17-7) = x strategic 3 OK clt -17-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:54:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -21*-24 = x strategic 1 OK mt -21*-24 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:55:01.0 CYCLE CYCLE ES_02 ES_02-3 EG34C (-5-21)*-37 = x strategic 1 ERROR mt (-5-21)*-37 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:55:17.0 CYCLE CYCLE ES_02 ES_02-3 EG34C (-5-21)*-37 = x strategic 2 OK clt -5-21 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:55:20.0 CYCLE CYCLE ES_02 ES_02-3 EG34C -26*-37 = x strategic 1 OK mt -26*-37 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:55:46.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 13(19-46) strategic 1 ERROR mt y = 13(19-46) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:55:49.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 13(19-46) strategic 2 OK clt 19-46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:55:51.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 13*-27 strategic 1 OK mt 13*-27 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:56:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (0-7)*-2 strategic 1 ERROR mt x = (0-7)*-2 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session24 2005-10-19 08:56:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (0-7)*-2 strategic 2 OK clt 0-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:53:52.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-1-6)*-1 strategic 1 OK clt -1-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:54:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 ERROR -7+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:22.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 ERROR 5+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 ERROR 5+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 4 ERROR 5+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 5 ERROR 5+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 6 ERROR 5+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 7 ERROR 5+-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:25.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 8 INITIAL_HINT 5+-1 You need to combine like terms in (-1-6)*-1. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:55:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 9 ERROR -7+(-1) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:56:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 10 OK -7*(-1) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:56:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -7*-1 strategic 1 OK mt -7*-1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:56:18.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 11 OK -7*-1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:56:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -7*-1 strategic 2 OK mt -7*-1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:57:02.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 12 OK 7 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:57:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -31(-49+10) = x strategic 1 ERROR mt -31(-49+10) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:57:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -31(-49+10) = x strategic 2 OK clt -49+10 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:57:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 ERROR -31--49 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 09:57:54.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 ERROR -31-49 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 10:02:11.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 3 ERROR -31-39 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 10:02:11.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 4 INITIAL_HINT -31-39 You need to combine like terms in -31(-49+10). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 10:02:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 5 OK -31*(-39) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 10:02:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -31*-39 = x strategic 1 OK mt -31*-39 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 10:03:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 6 ERROR -1209 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session25 2005-10-19 10:03:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 7 OK 1209 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:02:25.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (23-37)*-45 strategic 1 ERROR mt x = (23-37)*-45 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:02:31.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (23-37)*-45 strategic 2 OK clt 23-37 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:03:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 BUG 14*-45 14*-45
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:03:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 ERROR 14*--45 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:03:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 BUG 14*(-45) 14*(-45)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:03:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 OK -14*(-45) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:03:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -14*-45 strategic 1 OK mt -14*-45 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:04:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 5 ERROR -630 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session27 2005-10-24 12:04:32.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 6 OK 630 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:20:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = 8(5-7) strategic 1 ERROR mt x = 8(5-7) strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:20:47.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = 8(5-7) strategic 2 OK clt 5-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:26.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 ERROR -8-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:31.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 ERROR 8-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 3 ERROR 8-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:32.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 4 INITIAL_HINT 8-2 You need to combine like terms in 8(5-7). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:33.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 5 INITIAL_HINT 8-2 You need to combine like terms in 8(5-7). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:54.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 6 OK 8*(-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:21:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = 8*-2 strategic 1 OK mt 8*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:23:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 7 OK -16 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:23:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -44(-25-30) = y strategic 1 OK clt -25-30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:23:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -44*(-55) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:23:54.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -44*-55 = y strategic 1 OK mt -44*-55 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:24:15.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 ERROR 420 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:24:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK 2420 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:24:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34C x = (-39-24)*-47 strategic 1 OK clt -39-24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:25:36.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -63*(-47) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:25:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34C x = -63*-47 strategic 1 OK mt -63*-47 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:26:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK 2961 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:26:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (-30-37)*-35 strategic 1 OK clt -30-37 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:26:42.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK -67*(-35) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:26:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = -67*-35 strategic 1 OK mt -67*-35 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:27:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 2345 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:27:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y = 5 strategic 1 ERROR mt -6-3y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:27:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y = 5 strategic 2 ERROR clt -6-3y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:28:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y = 5 strategic 3 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:28:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y-(-6) = 5-(-6) strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:28:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y = 5 strategic 4 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:28:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-6-3y)/-3 = 5/-3 strategic 1 ERROR subtract -6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:28:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-6-3y)/-3 = 5/-3 strategic 2 ERROR multiply -6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:29:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y = 5 strategic 5 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:29:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-3y-(-6) = 5-(-6) strategic 2 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:29:22.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = (5-(-6))/-3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:29:25.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = (5-(-6))/-3 strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:29:29.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = (5-(-6))/-3 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:29:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = (5-(-6))/-3 strategic 4 OK rf (5-(-6))/-3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -(5-(-6))/3 strategic 1 ERROR mt (-6-3y-(-6))/-3 = -(5-(-6))/3 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:16.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -(5-(-6))/3 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:17.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -(5-(-6))/3 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -(5-(-6))/3 strategic 4 OK clt 5-(-6) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:31.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -11/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:32.0 HINT HINT ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -11/3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-6-3y-(-6))/-3 = -11/3 strategic 3 OK clt -6-3y-(-6) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:30:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y/-3 = -11/3 strategic 1 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 5y+7 strategic 1 BUG add 7 Since 7 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 7 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 5y+7 strategic 2 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-7 = 5y+7-7 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (4-7)/5 = (5y+7-7)/5 strategic 1 ERROR rf (4-7)/5 = (5y+7-7)/5 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (4-7)/5 = (5y+7-7)/5 strategic 2 OK clt 4-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/5 = (5y+7-7)/5 strategic 1 OK clt 5y+7-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:31:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/5 = 5y/5 strategic 1 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:32:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+3x = 2 strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:32:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+3x-(-4) = 2-(-4) strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:32:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-4+3x-(-4))/3 = (2-(-4))/3 strategic 1 OK clt 2-(-4) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:32:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-4+3x-(-4))/3 = 6/3 strategic 1 OK clt -4+3x-(-4) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:32:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x/3 = 6/3 strategic 1 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:32:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-6y = -9 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-6y-(-8) = -9-(-8) strategic 1 BUG multiply -6 To remove the coefficient of -6y, you need to divide. Erase your last step and then divide both sides by -6. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-6y-(-8) = -9-(-8) strategic 2 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-8-6y-(-8))/-6 = (-9-(-8))/-6 strategic 1 OK clt -9-(-8) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-8-6y-(-8))/-6 = -1/-6 strategic 1 OK clt -8-6y-(-8) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y/-6 = -1/-6 strategic 1 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3-4x = -3 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3-4x-3 = -3-3 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (3-4x-3)/-4 = (-3-3)/-4 strategic 1 OK clt -3-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:33:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (3-4x-3)/-4 = -6/-4 strategic 1 OK clt 3-4x-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:34:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x/-4 = -6/-4 strategic 1 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:34:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -10+5x strategic 1 OK subtract -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:34:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 1 ERROR typein X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:35:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 2 ERROR typein X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 3 ERROR typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:35:23.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:35:24.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 5 NEXT_HINT Type in -8-(-10) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:35:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 6 BUG typein -8 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:35:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 7 BUG typein -8-10 -8-10 is equal to -8 plus -10. You need to calculate -8 minus -10. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 8 BUG typein -2 You need to calculate -8 minus -10, not -10 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 9 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:25.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 10 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:28.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 11 NEXT_HINT Type in -10+5x-(-10) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 12 ERROR typein 15X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:42.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 13 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:36:43.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 14 NEXT_HINT Type in -10+5x-(-10) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 15 ERROR typein -1+5X(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:07.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 16 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:09.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 17 NEXT_HINT Type in -10+5x-(-10) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 18 ERROR typein -1+5X-(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:25.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 19 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:26.0 HINT HINT ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 20 NEXT_HINT Type in -10+5x-(-10) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-(-10) = -10+5x-(-10) strategic 21 OK typein -10+5X-(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -10+5x+10 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:37:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 1 BUG typein 2 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:05.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:06.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 3 NEXT_HINT Type in 2/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 4 ERROR typein 2-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 5 OK typein 2/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:23.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:24.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 7 NEXT_HINT Type in (-10+5x+10)/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 8 ERROR typein -10+5X-10/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:45.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:46.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 10 NEXT_HINT Type in (-10+5x+10)/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 11 ERROR typein -10+5X+10/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:58.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 12 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:38:59.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 13 NEXT_HINT Type in (-10+5x+10)/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:39:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 14 ERROR typein -10+5X+10/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:40:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 15 ERROR typein -12+5X+10/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:40:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 16 ERROR typein -10+5X+10/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:41:10.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 17 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:41:11.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 18 NEXT_HINT Type in (-10+5x+10)/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:41:51.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 19 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:41:52.0 HINT HINT ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 20 NEXT_HINT Type in (-10+5x+10)/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:42:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 21 OK typein (-10+5X+10)/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:42:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = (-10+5x+10)/5 strategic 22 OK clt -10+5x+10 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG -10 -10
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -10, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK +5x default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 5X default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/5 = 5X/5 strategic 1 OK rf 5X/5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:43:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:44:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:44:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-5 = -7 strategic 1 BUG subtract -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:44:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-5 = -7 strategic 2 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:44:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-5-(-5) = -7-(-5) strategic 1 OK typein 3X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-5-(-5) = -7-(-5) strategic 2 BUG typein -5-7 -5-7 is equal to -7 plus -5. You need to calculate -7 minus -5. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-5-(-5) = -7-(-5) strategic 3 ERROR typein -2-5-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3x-5-(-5) = -7-(-5) strategic 4 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X = -2 strategic 1 ERROR clt 3X = -2 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X = -2 strategic 2 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 1 ERROR typein 3/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 2 ERROR typein 3/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:45:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 3 ERROR typein 3/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 4 ERROR typein (3)/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:14.0 HINT HINT ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:15.0 HINT HINT ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 6 NEXT_HINT Type in 3X/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 7 OK typein (3X)/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:31.0 HINT HINT ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:32.0 HINT HINT ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 9 NEXT_HINT Type in -2/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 10 BUG typein (-2)3 (-2)*3 is equal to -2 times 3. You need to calculate -2 divided by 3. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 11 OK typein (-2)/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:46:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 12 ERROR clt 3X/3 = -2/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:47:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3X/3 = -2/3 strategic 13 OK rf 3X/3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:47:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:48:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = 9y+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:48:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-9 = 9y+9-9 strategic 1 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:48:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-9 = 9y+9-9 strategic 2 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:48:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-9 = 9y+9-9 strategic 3 OK typein 9Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:48:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 9Y strategic 1 BUG multiply 9 To remove the coefficient of 9Y, you need to divide. Erase your last step and then divide both sides by 9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:48:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 9Y strategic 2 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:49:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/9 = 9Y/9 strategic 1 OK typein (-8)/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:49:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/9 = 9Y/9 strategic 2 OK typein (9Y)/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:49:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/9 = 9Y/9 strategic 3 OK rf 9Y/9 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:49:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:50:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+4y = -6 strategic 1 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:50:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+4y-(-7) = -6-(-7) strategic 1 OK typein 4Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:50:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+4y-(-7) = -6-(-7) strategic 2 BUG typein -6 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:50:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+4y-(-7) = -6-(-7) strategic 3 BUG typein -1 You need to calculate -6 minus -7, not -7 minus -6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:51:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+4y-(-7) = -6-(-7) strategic 4 ERROR typein 1-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:51:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+4y-(-7) = -6-(-7) strategic 5 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:51:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4Y = 1 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:51:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4Y/4 = 1/4 strategic 1 ERROR typein (4Y)/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:51:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/4 = 4Y/4 strategic 1 OK typein (1)/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:52:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/4 = 4Y/4 strategic 2 OK typein (4Y)/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:52:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/4 = 4Y/4 strategic 3 OK rf 4Y/4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:52:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:52:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 8+9y strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:52:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+9y-8 strategic 1 BUG typein 8 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:53:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+9y-8 strategic 2 ERROR typein 8Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:53:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+9y-8 strategic 3 ERROR typein 17Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:53:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+9y-8 strategic 4 OK typein 9Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:53:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+9y-8 strategic 5 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:53:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 9Y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:53:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 1 OK typein (0)/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 2 ERROR typein (9)-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 3 ERROR typein (9)/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 4 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 5 OK typein (9Y)/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 6 ERROR mt 0/9 = 9Y/9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/9 = 9Y/9 strategic 7 OK rf 9Y/9 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session28 2005-10-26 08:54:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:24:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 10+10x strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:24:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-10 = 10+10x-10 strategic 1 OK typein -3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:24:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-10 = 10+10x-10 strategic 2 OK typein 10X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:25:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 10X strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:25:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/10 = 10X/10 strategic 1 BUG typein -3(10) -3(10) is equal to -3 times 10. You need to calculate -3 divided by 10. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:26:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/10 = 10X/10 strategic 2 OK typein (-3)/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:26:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/10 = 10X/10 strategic 3 ERROR typein (10)/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:26:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/10 = 10X/10 strategic 4 ERROR typein 10/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:26:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/10 = 10X/10 strategic 5 OK typein 10X/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:26:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/10 = 10X/10 strategic 6 OK rf 10X/10 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:26:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 8x-3 strategic 1 BUG subtract -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 8x-3 strategic 2 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-(-3) = 8x-3-(-3) strategic 1 BUG typein -12 -12 is equal to -9 plus -3. You need to calculate -9 minus -3. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-(-3) = 8x-3-(-3) strategic 2 ERROR typein -69-12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-(-3) = 8x-3-(-3) strategic 3 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-(-3) = 8x-3-(-3) strategic 4 OK typein 8X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:27:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 8X strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:28:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/8 = 8X/8 strategic 1 OK typein (-6)/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:28:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/8 = 8X/8 strategic 2 OK typein 8X/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:28:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/8 = 8X/8 strategic 3 OK rf 8X/8 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:28:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:28:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = -4-6y strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:29:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 1 BUG typein 2 2 is equal to 6 plus -4. You need to calculate 6 minus -4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:29:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 2 BUG typein -2 -2 is equal to -6 minus -4. You need to calculate 6 minus -4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:29:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 3 BUG typein 6-4 6-4 is equal to 6 plus -4. You need to calculate 6 minus -4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:29:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 4 OK typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:30:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 5 BUG typein 6Y You need to calculate -4-6y minus -4, not -4 minus -4-6y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:30:32.0 HINT HINT ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:30:33.0 HINT HINT ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 7 NEXT_HINT Type in -4-6y-(-4) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:31:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 8 BUG typein -4-6Y-(4) -4-6Y-(4) is equal to -4-6y plus -4. You need to calculate -4-6y minus -4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:31:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 9 BUG typein -4-6Y-4 -4-6Y-4 is equal to -4-6y plus -4. You need to calculate -4-6y minus -4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:31:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 10 ERROR typein -14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:31:41.0 HINT HINT ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 11 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:31:42.0 HINT HINT ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 12 NEXT_HINT Type in -4-6y-(-4) on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:32:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 13 BUG typein -4-6-(-4) You forgot the y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:32:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-4) = -4-6y-(-4) strategic 14 OK typein -4-6Y-(-4) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:32:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10 = -4-6y+4 strategic 1 ERROR divide 6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:32:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10 = -4-6y+4 strategic 2 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:32:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 1 BUG typein (10)/6 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:33:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 2 OK typein (-10)/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:33:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 3 BUG typein (6Y)/6 Your input has extra parentheses. Try entering 6Y/6 instead. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:33:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 4 BUG typein 6Y/6 Just divide -4-6y+4 by -6. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:35:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 5 BUG typein -6Y/6 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:35:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 6 BUG typein -6Y/-6 Just divide -4-6y+4 by -6. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:35:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 7 ERROR typein -4-6Y+4/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:35:47.0 HINT HINT ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:35:49.0 HINT HINT ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 9 NEXT_HINT Type in (-4-6y+4)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:36:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 10 BUG typein (-4-6Y+4)/6 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:36:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 10/-6 = (-4-6y+4)/-6 strategic 11 OK typein (-4-6Y+4)/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:36:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/6 = (-4-6y+4)/-6 strategic 1 OK rf (-4-6y+4)/-6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:36:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -0 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:36:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 0 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:37:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:37:03.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT 1 Above is the simplified form of the expression (-4-6y+4)/-6. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:37:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR -1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:38:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -(-4-6Y+4)/6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:38:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10/6 = -(-4-6Y+4)/6 strategic 1 OK rf -10/6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:39:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 BUG Y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:39:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 BUG Y=-10/6 Y=-10/6
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:39:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 BUG 6 6
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:39:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 BUG 10 10
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:39:54.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 11 INITIAL_HINT 10 Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR Y default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 BUG 1 1
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 BUG 10 10
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 ERROR 6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 5 BUG 10 10
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 6 BUG 10 10
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 ERROR 10 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:52.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 4 INITIAL_HINT 10 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:40:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 7 BUG 6 6
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 4 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 5 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 6 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 7 BUG Y Y
Perhaps you should fill in the common factor between the numerator and denominator of [-10]/[6]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 5 ERROR -10 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 6 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 8 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 8 ERROR 21 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 9 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 9 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:41:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 10 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:42:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 10 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:43:59.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 12 INITIAL_HINT 10 Above is the simplified form of the expression -10/6. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK -5/3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 1 ERROR rf -5/3 = -(-4-6Y+4)/6 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 2 ERROR rf -5/3 = -(-4-6Y+4)/6 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 3 ERROR mt -5/3 = -(-4-6Y+4)/6 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:28.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 4 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 5 OK clt -4-6Y+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:37.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 6 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:39.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 7 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 8 ERROR mt -5/3 = -(-4-6Y+4)/6 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:45.0 HINT HINT ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 9 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:44:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-4-6Y+4)/6 strategic 10 OK clt -4-6Y+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 BUG -4. -4.
Perhaps you should fill in all the Y terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 BUG 6 6
Perhaps you should fill in all the Y terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 BUG Y Y
Perhaps you should fill in all the Y terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 4 BUG Y Y
Perhaps you should fill in all the Y terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 5 BUG -6 -6
Perhaps you should fill in all the Y terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -6Y default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:45:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 6 OK -6Y default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:46:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 OK -6Y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:46:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/3 = -(-6Y)/6 strategic 1 OK rf -(-6Y)/6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:46:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:46:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2 = 5 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:46:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2 = 5 strategic 2 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:47:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 1 OK typein 5X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:47:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 2 ERROR typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:47:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 3 BUG typein 5 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:47:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 4 ERROR typein 5X-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:48:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 5 ERROR typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:48:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 6 BUG typein 5-2 5-2 is equal to 5 plus -2. You need to calculate 5 minus -2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:48:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x-2-(-2) = 5-(-2) strategic 7 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:48:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5X = 7 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:48:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5X/5 = 7/5 strategic 1 OK typein 5X/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:49:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5X/5 = 7/5 strategic 2 OK typein (7)/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:49:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5X/5 = 7/5 strategic 3 OK rf 5X/5 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:49:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 BUG X X
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:49:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:50:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x-2 = 0 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:50:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x-2-(-2) = 0-(-2) strategic 1 OK typein -2X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:50:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x-2-(-2) = 0-(-2) strategic 2 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:50:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X = 2 strategic 1 BUG divide 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X = 2 strategic 2 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X/-2 = 2/-2 strategic 1 BUG typein -2X/2 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X/-2 = 2/-2 strategic 2 OK typein -2X/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X/-2 = 2/-2 strategic 3 BUG typein -2/-2 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X/-2 = 2/-2 strategic 4 OK typein 2/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2X/-2 = 2/-2 strategic 5 OK rf -2X/-2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:51:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x-7 = -7 strategic 1 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x-7-(-7) = -7-(-7) strategic 1 OK typein 8X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x-7-(-7) = -7-(-7) strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X = 0 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X/8 = 0/8 strategic 1 OK typein 8X/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X/8 = 0/8 strategic 2 OK typein 0/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X/8 = 0/8 strategic 3 OK rf 8X/8 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:52:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:53:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4y-4 strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:53:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 1 BUG typein 0 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:53:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 2 ERROR typein -40 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:53:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 3 BUG typein -4 -4 is equal to 0 plus -4. You need to calculate 0 minus -4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:53:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 4 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 5 ERROR typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 6 BUG typein 4 You forgot the y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-(-4) = 4y-4-(-4) strategic 7 OK typein 4Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = 4Y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/4 = 4Y/4 strategic 1 OK typein 4/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/4 = 4Y/4 strategic 2 OK typein 4Y/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4/4 = 4Y/4 strategic 3 OK rf 4Y/4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:54:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:55:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-4y = 8 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:55:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-4 = 4-4y-4 strategic 1 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:55:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-4 = 4-4y-4 strategic 2 BUG typein 4Y You need to calculate 4-4y minus 4, not 4 minus 4-4y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:55:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-4 = 4-4y-4 strategic 3 ERROR typein 0Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:55:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-4 = 4-4y-4 strategic 4 ERROR typein 8Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:56:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-4 = 4-4y-4 strategic 5 BUG typein 4Y You need to calculate 4-4y minus 4, not 4 minus 4-4y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session29 2005-10-28 08:56:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-4 = 4-4y-4 strategic 6 ERROR typein 0Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:52:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-10x = 2 strategic 1 BUG subtract 9 Since -9 is negative, you should add to remove it from the left side. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:52:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-10x = 2 strategic 2 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:52:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-10x-(-9) = 2-(-9) strategic 1 ERROR typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:52:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-10x-(-9) = 2-(-9) strategic 2 BUG typein -9-10X You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:53:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-10x-(-9) = 2-(-9) strategic 3 ERROR typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:53:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-10x-(-9) = 2-(-9) strategic 4 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:53:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y = -10 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y-(-9) = -10-(-9) strategic 1 OK typein 3Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y-(-9) = -10-(-9) strategic 2 BUG typein -10 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y-(-9) = -10-(-9) strategic 3 BUG typein -9-10 -9-10 is equal to -10 plus -9. You need to calculate -10 minus -9. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y-(-9) = -10-(-9) strategic 4 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y = -1 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 1 OK typein 3Y/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:54:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 2 ERROR typein 3/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:55:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 3 ERROR typein (3)/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:55:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 4 BUG typein (3)/-1 (3)/-1 is equal to -1 times 3. You need to calculate -1 divided by 3. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:56:14.0 HINT HINT ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:56:16.0 HINT HINT ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 6 NEXT_HINT Type in -1/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:56:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 7 OK typein -1/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3Y/3 = -1/3 strategic 8 OK rf 3Y/3 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-6 = 9 strategic 1 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-6-(-6) = 9-(-6) strategic 1 BUG divide -2 To remove the coefficient of x/-2, you need to divide by 1/-2 or multiply by -2. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-6-(-6) = 9-(-6) strategic 2 ERROR add 9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-6-(-6) = 9-(-6) strategic 3 ERROR multiply 6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:57:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-6-(-6) = 9-(-6) strategic 4 ERROR mt x/-2-6-(-6) = 9-(-6) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:58:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-6-(-6) = 9-(-6) strategic 5 OK clt x/-2-6-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:58:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 9-(-6) strategic 1 ERROR mt x/-2 = 9-(-6) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:58:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 9-(-6) strategic 2 OK rf x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:58:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -x/2 = 9-(-6) strategic 1 ERROR mt -x/2 = 9-(-6) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 09:59:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 9-(-6) strategic 3 OK clt 9-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:00:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 15 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:00:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2*-2 = 15*-2 strategic 1 OK mt x/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:00:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 15*-2 strategic 1 OK mt 15*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:00:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = 7+y/2 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:00:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-7 = 7+y/2-7 strategic 1 OK clt -3-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:00:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = 7+y/2-7 strategic 1 BUG multiply -10 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:01:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-7 = 7+y/2-7 strategic 2 ERROR expon right default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:01:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-7 = 7+y/2-7 strategic 3 OK clt -3-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:01:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = 7+y/2-7 strategic 2 OK clt 7+y/2-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:01:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = y/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:02:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10*2 = y/2*2 strategic 1 OK mt -10*2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:02:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -20 = y/2*2 strategic 1 OK mt y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:02:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/-6+3 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:02:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2-3 = x/-6+3-3 strategic 1 OK clt x/-6+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:02:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2-3 = x/-6 strategic 1 OK clt -2-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:02:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:03:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-6 = x/-6*-6 strategic 1 OK mt x/-6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:03:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-6 = x strategic 1 OK mt -5*-6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:03:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = 1+y/2 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:03:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-1 = 1+y/2-1 strategic 1 OK typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:03:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-1 = 1+y/2-1 strategic 2 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:03:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-1 = 1+y/2-1 strategic 3 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:04:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-1 = 1+y/2-1 strategic 4 OK typein Y/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:04:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = Y/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:04:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*2 = Y/2*2 strategic 1 OK typein -20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:04:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*2 = Y/2*2 strategic 2 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:04:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(x/-10) = 1 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:04:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(x/-10)-(-8) = 1-(-8) strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:05:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(x/-10)-(-8) = 1-(-8) strategic 2 OK typein X/-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:05:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(x/-10)-(-8) = 1-(-8) strategic 3 BUG typein -7 -7 is equal to 1 plus -8. You need to calculate 1 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:05:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(x/-10)-(-8) = 1-(-8) strategic 4 BUG typein 7 7 is equal to -1 minus -8. You need to calculate 1 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:05:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+(x/-10)-(-8) = 1-(-8) strategic 5 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:06:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-10 = 9 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:06:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-10*-10 = 9*-10 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:06:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-10*-10 = 9*-10 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:06:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-10*-10 = 9*-10 strategic 3 OK typein -90 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:06:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8-7 = 3 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8-7+7 = 3+7 strategic 1 BUG typein Y/8 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8-7+7 = 3+7 strategic 2 OK typein Y/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8-7+7 = 3+7 strategic 3 OK typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-8 = 10 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-8*-8 = 10*-8 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-8*-8 = 10*-8 strategic 2 OK typein -80 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:07:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4+9 = 1 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:08:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4+9-9 = 1-9 strategic 1 OK typein Y/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:08:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4+9-9 = 1-9 strategic 2 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:08:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/4 = -8 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:08:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/4*4 = -8*4 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:08:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/4*4 = -8*4 strategic 2 OK typein -32 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:09:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-4 = -4 strategic 1 BUG add -4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:09:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-4 = -4 strategic 2 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:09:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-4+4 = -4+4 strategic 1 BUG typein X/8 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:09:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-4+4 = -4+4 strategic 2 OK typein X/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:09:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-4+4 = -4+4 strategic 3 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:09:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-8 = 0 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-8*-8 = 0*-8 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-8*-8 = 0*-8 strategic 2 ERROR typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-8*-8 = 0*-8 strategic 3 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7) = 5 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7)-4 = 5-4 strategic 1 BUG typein Y/7 You need to calculate 4+[y/-7] minus 4, not 4 minus 4+[y/-7]. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7)-4 = 5-4 strategic 2 OK typein Y/-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:10:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7)-4 = 5-4 strategic 3 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7 = 1 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = 1*-7 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = 1*-7 strategic 2 BUG typein 7 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = 1*-7 strategic 3 OK typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = 1+y/10 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-1 = 1+y/10-1 strategic 1 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:11:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9-1 = 1+y/10-1 strategic 2 OK typein Y/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = Y/10 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*10 = Y/10*10 strategic 1 OK typein 80 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8*10 = Y/10*10 strategic 2 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+y/10 = -3 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+y/10-6 = -3-6 strategic 1 OK typein Y/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+y/10-6 = -3-6 strategic 2 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:12:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/10 = -9 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:13:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/10*10 = -9*10 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:13:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/10*10 = -9*10 strategic 2 OK typein -90 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:13:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = -1+(y/-4) strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:13:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1+1 = -1+(y/-4)+1 strategic 1 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:13:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1+1 = -1+(y/-4)+1 strategic 2 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:13:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1+1 = -1+(y/-4)+1 strategic 3 OK typein Y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:14:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = Y/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:14:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-4 = Y/-4*-4 strategic 1 ERROR typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:14:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-4 = Y/-4*-4 strategic 2 ERROR typein -4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:14:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-4 = Y/-4*-4 strategic 3 OK typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:14:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2*-4 = Y/-4*-4 strategic 4 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:14:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = 9+(x/-8) strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-9 = 9+(x/-8)-9 strategic 1 OK typein -3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-9 = 9+(x/-8)-9 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-9 = 9+(x/-8)-9 strategic 3 OK typein X/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = X/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*-8 = X/-8*-8 strategic 1 OK typein 24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3*-8 = X/-8*-8 strategic 2 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:16:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3+4 = 7 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:17:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3+4-4 = 7-4 strategic 1 OK typein Y/-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:17:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3+4-4 = 7-4 strategic 2 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:17:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-3 = 3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:17:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-3*-3 = 3*-3 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:17:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-3*-3 = 3*-3 strategic 2 ERROR typein -96 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:17:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-3*-3 = 3*-3 strategic 3 OK typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:18:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -2/x strategic 1 BUG multiply -2 To remove the coefficient of -2/x, you need to divide. Erase your last step and then divide both sides by -2. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:18:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -2/x strategic 2 BUG multiply -2 To remove the coefficient of -2/x, you need to divide. Erase your last step and then divide both sides by -2. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:18:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -2/x strategic 3 ERROR multiply 2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:18:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -2/x strategic 4 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:19:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = -2/x*x strategic 1 OK mt -2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:19:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = -2 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:19:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x/6 = -2/6 strategic 1 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:19:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 9/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:19:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y = 9/y*y strategic 1 OK mt 9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:19:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y = 9 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:20:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4y/-4 = 9/-4 strategic 1 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:20:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 9/x strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:20:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = 9/x*x strategic 1 OK mt 9/x*x default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:20:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = 9 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:20:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x/-6 = 9/-6 strategic 1 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:21:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x = -8 strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:21:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x*x = -8x strategic 1 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:21:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:21:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/-8 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:21:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 9/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:21:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y = 9/y*y strategic 1 OK typein 8Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:22:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y = 9/y*y strategic 2 OK typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:22:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y = 9 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:22:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y/8 = 9/8 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:22:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y/8 = 9/8 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:22:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y/8 = 9/8 strategic 3 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:23:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8y/8 = 9/8 strategic 4 OK typein 9/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:23:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -2/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:23:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -2/y*y strategic 1 OK typein 9Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:23:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -2/y*y strategic 2 BUG typein 2 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:23:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -2/y*y strategic 3 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:23:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y = -2 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y/9 = -2/9 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9y/9 = -2/9 strategic 2 OK typein -2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -6/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 1 OK typein -8Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6/y*y strategic 2 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -6 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 77y7iIIXuv session30 2005-10-28 10:24:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -6/-8 strategic 2 OK typein -6/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:36:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:36:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:37:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:37:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:37:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:38:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 90.75+25.50*30 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:38:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 90.75+25.50*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:39:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:39:47.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 192.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:39:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:40:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:40:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 ERROR 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:46:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 20.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:46:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 ERROR 21 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:46:08.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 INITIAL_HINT 21 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:46:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 ERROR 20.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 ERROR 205 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 ERROR 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:06.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 8 INITIAL_HINT 100 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 9 ERROR 76 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 10 ERROR 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 11 ERROR 81 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:28.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 12 INITIAL_HINT 81 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:29.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 13 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:47:33.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 14 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 15 ERROR 82 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 16 ERROR 83 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 17 ERROR 84 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:45.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 18 INITIAL_HINT 84 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 19 ERROR 85 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 20 ERROR 86 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 21 ERROR 87 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:55.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 22 INITIAL_HINT 87 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:48:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 23 ERROR 88 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:49:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 24 ERROR 89 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:49:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 25 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C1 1 OK amounbt of carpet default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:49:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C2 1 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:50:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C1 1 BUG yards yards
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:50:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C1 2 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:50:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:50:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:51:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R4C1 1 OK 11 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:51:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R4C2 1 OK 11.95*11 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 1 ERROR 21.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:52:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 2 OK 20.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:52:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C2 1 OK 11.95*20.5 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:53:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C2 1 OK 11.95*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C2 1 OK 478.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:53:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R7C2 1 OK 717 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:53:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 1 ERROR 39 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:53:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 2 ERROR 41 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 3 ERROR 38 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36B R6C1 4 INITIAL_HINT 38 478 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 478 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 5 ERROR 37 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 6 ERROR 36 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 7 ERROR 35 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36B R6C1 8 INITIAL_HINT 35 478 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 478 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 9 ERROR 43 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session18 2006-01-06 08:54:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 10 ERROR 42 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:26:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 1 OK 478/11.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:26:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R7C1 1 OK 717/11.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:27:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 OK amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:27:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:27:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:30:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 BUG 5000+x 5000+x
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:30:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 2 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:30:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:31:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 ERROR 2750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:31:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 3 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:38:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 OK 46,000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:38:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27,000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 ERROR 46,000/5000*5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:45:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 2 ERROR 46,000*5000/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:48:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 1 ERROR 27000/5000+5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:48:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 2 ERROR 27000/5000+5x default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:48:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 3 ERROR 27000/5000*5x default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session19 2006-01-20 08:48:51.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R7C1 4 INITIAL_HINT 27000/5000*5x 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:17:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 OK amount of money default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:17:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:17:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:19:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:19:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:19:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 ERROR 2750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:19:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:20:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 BUG 27,000 27,000
You entered 27,000 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:20:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 ERROR 27000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:20:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:21:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 3 ERROR 2750*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:21:38.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R5C1 4 INITIAL_HINT 2750*12 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:21:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 5 ERROR 2750/12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:22:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 6 OK 27.50*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:23:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 2 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:25:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 2 BUG 46000/5 46000/5
Subtract the initial value, 5000, from the amount spent on long distance first before you divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:25:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 3 BUG 5000+46000/5 5000+46000/5
Subtract the initial value, 5000, from the total amount 46000 before you do the division. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:25:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 4 ERROR 5000-46000/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:25:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 5 BUG 46,000-5000 46,000-5000
Subtracting 5000 from 46000 is OK, but then you need to divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:26:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 6 BUG 46,000-5000/5 46,000-5000/5
Use parentheses. Type (46000 - 5000)/ 5 as (46000 - 5000)/ 5 BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:26:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 7 OK (46,000-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:29:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 1 ERROR 5000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:29:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 2 BUG 27,000-5000/5 27,000-5000/5
Use parentheses. Type (27000 - 5000)/ 5 as (27000 - 5000)/ 5 BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:30:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 3 OK (27,000-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:33:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 OK 5*x+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:34:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:34:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 1 BUG total cost of construction total cost of construction
Try the cost of construction. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:34:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 2 OK the cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:34:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C2 1 OK dolars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:35:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C1 1 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C1 1 BUG 1500 1500
You entered 1,500 in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:35:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 1 ERROR 1500 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:35:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C1 2 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C1 1 OK 1500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:36:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 1 OK 140+75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:37:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C2 1 OK 162,750.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:37:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C2 1 OK 97,138.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C2 1 OK 46.50*1,500 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:38:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 2 OK 46.50*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:39:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C1 1 OK 162,750.00/46.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C1 1 OK 97,138.50/46.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:41:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time from now default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK the total distance the jet has flown default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:41:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:42:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 ERROR 1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:42:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 2 ERROR 1/5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:43:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 3 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:43:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:44:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:44:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:45:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:46:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:46:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 4 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:47:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 5 ERROR 750+1250/3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:47:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 6 INITIAL_HINT 750+1250/3500 Read the problem statement. What information is given in question 3 about the total distance it has flown? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:47:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 7 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:47:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 8 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:47:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 9 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 10 BUG 3500-750 3500-750
You entered 2,750 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:48:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 11 ERROR 3500-750+1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:48:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 12 INITIAL_HINT 3500-750+1250 Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session20 2006-01-27 08:52:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 13 ERROR 750+1700/3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:23:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 ERROR 1250-750*x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:23:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 BUG 750-1250*x 750-1250*x
Does the total distance it has flown go up or down when the time increases? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:24:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 3 ERROR 1250-750/X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:24:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C2 4 INITIAL_HINT 1250-750/X Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:24:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 5 ERROR 750-1250/x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:24:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 6 ERROR 750+1250/x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:24:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 7 OK 750+1250*x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:27:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 OK 1+36/60 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:29:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 BUG 3500-750 3500-750
You entered 2,750 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 BUG 1375 1375
You entered 1,375 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:31:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 ERROR 1375-750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:31:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 ERROR 0 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:33:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 2 OK 2.2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:36:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 ERROR 4.6 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 ERROR 4.7 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:37:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 4 ERROR 2125 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:37:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 5 ERROR 4250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 6 ERROR 1062.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:39:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 7 ERROR 625 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:40:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 8 OK 3500/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 3 OK .8 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 1 OK number of students enrolled in algerbra default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 1 BUG rule for the number of students receiving and a or b rule for the number of students receiving and a or b
Don't worry about an expression yet. Here, you can just enter the number of students earning an A or B in Algebra. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:42:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 2 OK the number of students earning an a or b in algerba default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:43:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C1 1 OK 375 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:43:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 1 OK 145 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:43:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 BUG 47 47
You entered 47 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:43:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 1 OK 47 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:43:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C2 1 OK 93 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C2 1 ERROR 1875 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:47:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 1 OK .20*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:48:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 1 OK 0.2x=47 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:48:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 2 OK 0.2X=47 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:48:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2X = 47 strategic 1 OK divide 0.2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:48:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 2 OK 235 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:50:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 3 OK 0.2X=93 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:50:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2X = 93 strategic 1 OK divide 0.2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:50:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 OK 465 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:50:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C1 1 OK number of people default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:50:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C2 1 OK cost of the cake default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:51:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:51:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:51:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:52:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C2 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:52:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C2 1 OK 56.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:52:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C2 1 OK 1.25*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:53:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 1 BUG 1.25*100 1.25*100
To find people given the cost of the cake, you need to unwind your usual calculation. Divide 100 by the slope 1.25, rather than multiplying. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 2 OK 100/1.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 1 OK 56.25/1.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:53:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C1 1 OK number of snpwcones default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C2 1 ERROR profile default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C2 2 OK profit default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R2C2 1 OK dolalr default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R5C1 1 OK 800 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C2 1 OK 550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session21 2006-02-01 08:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C2 1 OK 473.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:24:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 1 ERROR 75.00-1.25*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:25:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 2 ERROR 1.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:27:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 3 ERROR 1.253 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:27:12.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R3C2 4 INITIAL_HINT 1.253 Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:27:18.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R3C2 5 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:27:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 6 ERROR 1.253 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:27:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 7 ERROR 1.253 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 8 ERROR 1.253 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:28:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 9 ERROR 1.253 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:32:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 1 OK 1.25*x-75.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:36:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 1 BUG 550.00/1.25 550.00/1.25
Subtract the initial value, -75, from the number of snow cones we sell first before you divide by 1.25. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:37:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 2 BUG 550.00-75.00/1.25 550.00-75.00/1.25
Use parentheses. Type (550 - -75)/ 1.25 as (550 - -75)/ 1.25 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:38:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 3 ERROR 425.00/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:38:28.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R6C1 4 INITIAL_HINT 425.00/1.25 550 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 550 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 5 BUG 550.00-75/1.25 550.00-75/1.25
Use parentheses. Type (550 - -75)/ 1.25 as (550 - -75)/ 1.25 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:41:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 6 ERROR (550.00-75)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:41:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 7 ERROR (550.00-75.00)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:41:50.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41B R6C1 8 INITIAL_HINT (550.00-75.00)/1.25 550 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 550 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:44:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 9 ERROR (550.00-75.00)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:44:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 1 BUG -75.00+473.75/1.25 -75.00+473.75/1.25
Subtract the initial value, -75, from the total amount 473.75 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:45:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 10 ERROR (550.00-75.00)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:45:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 2 ERROR 473 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 3 ERROR 473 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:46:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 4 BUG 473.75-75.00/1.25 473.75-75.00/1.25
Use parentheses. Type (473.75 - -75)/ 1.25 as (473.75 - -75)/ 1.25 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:46:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 11 ERROR (550.00-75.00)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:47:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 5 BUG 473.75-(75.00)/1.25 473.75-(75.00)/1.25
Use parentheses. Type (473.75 - -75)/ 1.25 as (473.75 - -75)/ 1.25 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:47:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 12 ERROR (550.00-75.00)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:50:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 1 OK 1.25x-75=473.75 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:50:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 2 OK 1.25X-75=473.75 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:50:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25X-75 = 473.75 strategic 1 ERROR divide 1.25x default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:51:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25X-75 = 473.75 strategic 2 BUG divide 75 You want to isolate 1.25X by removing -75 from the left side. 75 is subtracted from 1.25X. What is the opposite of subtraction? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:52:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25X-75 = 473.75 strategic 3 OK add 75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:52:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25X = 548.75 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:52:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 6 OK 439 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:53:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B ValidEquations 3 OK 1.25X-75=550 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:54:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25X-75 = 550 strategic 1 OK add 75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:54:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B 1.25X = 625 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:54:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 13 OK 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session22 2006-02-03 08:55:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 BUG length of the mobile length of the mobile
Try the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:26:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 OK length of mobile telphone default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:26:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 1 OK min default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C2 1 OK total cost of the call default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 1 ERROR x' default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 2 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 1 OK 22.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:27:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C2 1 OK 57.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:28:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 1 BUG 1.25+2.50*x 1.25+2.50*x
Think about what changes and what doesn't. How much does the cost of a mobile telephone call change for each minute of the length of the phone call? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:29:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 2 OK 2.50+1.25*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:32:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 1 ERROR 22.50/3.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:34:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 2 ERROR 22.50/2.50+1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:35:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 3 ERROR 55 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:35:45.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R6C1 4 INITIAL_HINT 55 22.5 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 22.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:35:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 5 BUG 56.25 56.25
What is the y-intercept and what is the slope in this equation 1.25 or 2.5? Which number do you need to divide by when you unwind? BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 6 BUG 20.5 20.5
Subtract the initial value, 2.5, from the total amount 22.5 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 7 BUG 20 20
Subtracting 2.5 from 22.5 is OK, but then you need to divide by 1.25. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 8 ERROR 12 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 9 ERROR 13 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 10 ERROR 14 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 11 ERROR 15 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:36:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 12 OK 16 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:44:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 1 ERROR 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:44:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 2 ERROR 38 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:44:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 3 ERROR 37 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:44:52.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R7C1 4 INITIAL_HINT 37 57.5 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 57.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 5 ERROR 36 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 6 ERROR 35 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 7 ERROR 34 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:07.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R7C1 8 INITIAL_HINT 34 57.5 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 57.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 9 ERROR 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 10 ERROR 42 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 11 ERROR 43 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:19.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R7C1 12 INITIAL_HINT 43 57.5 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 57.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:22.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R7C1 13 NEXT_HINT You know that the expression 1.25X + 2.5 represents the cost of a mobile telephone call. What value of the length of the phone call will make the general expression 1.25X + 2.5 output the given value of 57.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:25.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R7C1 14 NEXT_HINT Since the general expression for the cost of a mobile telephone call is 1.25X + 2.5 and since the cost of a mobile telephone call in this question is 57.5, set the two of them equal to find the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:45:29.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R7C1 15 NEXT_HINT Solve the equation 1.25X + 2.5 = 57.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:46:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 1 OK 1.25x+2.5=57.5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:46:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 2 OK 1.25X+2.5=57.5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:48:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X+2.5 = 57.5 strategic 1 BUG divide 2.5 You want to isolate 1.25X by removing 2.5 from the left side. 2.5 is added to 1.25X. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:48:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X+2.5 = 57.5 strategic 2 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X = 55 strategic 1 BUG divide 55 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:50:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X = 55 strategic 2 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:50:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 16 ERROR 43 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session23 2006-02-08 08:50:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 17 OK 44 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:30:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK time used default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:31:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:32:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK amount of next bill default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:32:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:39:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:42:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:42:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:44:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 ERROR 5.26-0.21*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 2 ERROR $5.26-$0.21 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 3 ERROR $5.26-$0.21*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:27.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 4 INITIAL_HINT $5.26-$0.21*x Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:32.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 5 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:36.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:40.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 7 NEXT_HINT Write an expression that means the same thing as -5.26 dollars plus 0.21 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:46:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 8 ERROR $-5.26+$0.21*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:47:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 9 ERROR $-5.26+$0.21*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 10 OK -5.26+0.21*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:51:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK -5.26+0.21X=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:51:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK -5.26+0.21x=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:51:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 1 ERROR divide -5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:52:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 2 BUG add -5.26 To remove -5.26 from the left side, you can add a positive to it. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:53:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 3 BUG subtract 15.74 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:53:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 4 ERROR clt -5.26+0.21X = 15.74 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:53:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 5 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:54:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 1 BUG divide 21 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:54:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 2 BUG divide 0.21x Dividing anything by itself will leave 1. If you divide 0.21X by 0.21, X will be left. Erase your last step and then divide by 0.21. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session24 2006-02-10 08:56:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 3 BUG divide 0.21x Dividing anything by itself will leave 1. If you divide 0.21X by 0.21, X will be left. Erase your last step and then divide by 0.21. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:14:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:14:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:15:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 ERROR 5.26-0.21x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:15:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 2 ERROR 5.26-0.21*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:18:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 3 BUG 0.21-5.26*x 0.21-5.26*x
Think about what changes and what doesn't. How much does balance on the next bill change for each minute of the cellular phone time used next month? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:19:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 4 BUG 0.21-5.26x 0.21-5.26x
Think about what changes and what doesn't. How much does balance on the next bill change for each minute of the cellular phone time used next month? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:19:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 5 ERROR 0.21+5.26x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:19:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 6 ERROR 0.21+5.26*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:21:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 7 ERROR 0.21+5.26*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:22:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 8 ERROR 0.21+5.26*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:23:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 9 ERROR 5.26-0.21x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:23:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 10 OK -5.26+0.21x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:25:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 ERROR 5.26-0.21 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:26:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 2 ERROR -5.26+0.21*15.74 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:29:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 3 ERROR 78 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:29:21.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 4 INITIAL_HINT 78 15.74 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 15.74 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:30:04.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 5 NEXT_HINT You know that the expression 0.21X - 5.26 represents balance on the next bill. What value of the cellular phone time used next month will make the general expression 0.21X - 5.26 output the given value of 15.74 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:30:08.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 6 NEXT_HINT Since the general expression for balance on the next bill is 0.21X - 5.26 and since balance on the next bill in this question is 15.74, set the two of them equal to find the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:30:19.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 7 NEXT_HINT Solve the equation 0.21X - 5.26 = 15.74. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:30:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK 0.21X-5.26=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:31:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X-5.26 = 15.74 strategic 1 BUG divide 5.26 You want to isolate 0.21X by removing -5.26 from the left side. 5.26 is subtracted from 0.21X. What is the opposite of subtraction? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:31:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X-5.26 = 15.74 strategic 2 BUG subtract 5.26 Since -5.26 is negative, you should add to remove it from the left side. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:32:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X-5.26 = 15.74 strategic 3 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:32:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 1 BUG divide 21 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:32:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 2 ERROR divide 0.21z default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 3 BUG divide 0.21x Dividing anything by itself will leave 1. If you divide 0.21X by 0.21, X will be left. Erase your last step and then divide by 0.21. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:33:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 4 BUG divide 21 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:33:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 5 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:33:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 8 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:34:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK 0.21X-5.26=20 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:34:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X-5.26 = 20 strategic 1 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:34:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 25.26 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:34:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 BUG 120 120
120 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 2 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK total cost of the order default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:38:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:38:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:41:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:41:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:41:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 ERROR 100.80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session25 2006-02-24 08:42:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 2 OK 180.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:33:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK cost of items default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:33:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK total cost for the order default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:34:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK dolalrs default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:34:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:34:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:35:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:35:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:36:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:37:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 OK 180 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:49:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR 10+x-10% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:54:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR 10-15*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session26 2006-03-03 08:56:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 OK 10+.85x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:25:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 1 OK 10+0.85x=116.25 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:25:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 2 OK 10+0.85X=116.25 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:26:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 10+0.85X = 116.25 strategic 1 ERROR subtract 0.85 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:26:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 10+0.85X = 116.25 strategic 2 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:26:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 106.25 strategic 1 BUG divide 0.85x Dividing anything by itself will leave 1. If you divide 0.85X by 0.85, X will be left. Erase your last step and then divide by 0.85. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:27:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 106.25 strategic 2 OK divide 0.85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:27:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 OK 125 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:27:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 3 OK 10+0.85X=180 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:27:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 10+0.85X = 180 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:27:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 170 strategic 1 OK divide 0.85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:28:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:28:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 1 OK number of hours from now default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:29:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 1 BUG rule for tempeture and liquid rule for tempeture and liquid
Don't worry about an expression yet. Here, you can just enter the temperature of the liquid. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:29:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 2 OK the temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:29:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:29:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 1 BUG degress degress
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 2 OK degrees celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 BUG 60 60
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:30:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 2 OK -60 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:31:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 ERROR -33-.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:32:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 2 ERROR -33-0.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:40:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 3 OK -33-1.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:41:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 BUG -33-15x=0 -33-15x=0
Please check to make sure that -33-15x=0 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:41:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-15x = 0 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -15x = 33 strategic 1 BUG divide -15x Dividing anything by itself will leave 1. If you divide -15x by -15, x will be left. Erase your last step and then divide by -15. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:42:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -15x = 33 strategic 2 BUG divide -15x Dividing anything by itself will leave 1. If you divide -15x by -15, x will be left. Erase your last step and then divide by -15. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:42:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -15x = 33 strategic 3 OK divide -15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:43:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 2 OK -33-1.5x=0 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:43:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 3 OK -33-1.5X=0 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:43:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = 0 strategic 1 BUG add -33 To remove -33 from the left side, you can add a positive to it. Erase your last step and add 33 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:43:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = 0 strategic 2 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:44:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5X = 33 strategic 1 BUG divide 33 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:44:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5X = 33 strategic 2 BUG divide -1.5x Dividing anything by itself will leave 1. If you divide -1.5X by -1.5, X will be left. Erase your last step and then divide by -1.5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:44:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5X = 33 strategic 3 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:44:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 OK -22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:44:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 4 OK -33-1.5X=-60 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:45:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = -60 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:45:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5X = -27 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session27 2006-03-08 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 1 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:24:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 ERROR hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:30:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:33:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:35:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:36:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:36:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 ERROR 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 BUG 10*12 10*12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:37:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 4 OK -10*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:37:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1,564 1,564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:38:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 BUG 1,564 1,564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 3 OK -1,564 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR 1,550-X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:45:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 OK x*-7-1,550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:49:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:53:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 BUG x*(-7)-1.55=1564 x*(-7)-1.55=1564
Please check to make sure that x*(-7)-1.55=1564 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:53:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 x*(-7)-1.55 = 1564 strategic 1 OK add 1.55 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:53:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7x = 1565.55 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:54:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 ERROR 223.65 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:55:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 BUG x*(-7)-1550=1564 x*(-7)-1550=1564
Please check to make sure that x*(-7)-1550=1564 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:55:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 x*(-7)-1550 = 1564 strategic 1 OK add 1,550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session29 2006-03-10 08:55:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7x = 3114 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session30 2006-03-21 10:02:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 ERROR 223.65 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session30 2006-03-21 10:02:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 2 ERROR 223.65 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session30 2006-03-21 10:02:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 3 ERROR ==/ default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:25:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK x*(-7)-1550=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:25:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK X*(-7)-1550=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:26:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 1 ERROR add 1,564 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:28:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 2 ERROR add 1500 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:30:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 3 ERROR rf X*(-7)-1550 = -1564 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:30:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 4 ERROR squareroot X*(-7)-1550 = -1564 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:30:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 5 ERROR add 7 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:31:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 6 ERROR subtract 7 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X*(-7)-1550 = -1564 strategic 7 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:32:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:32:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:33:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR 1,550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:34:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 BUG 0 0
Subtract the initial value, -1550, from the digging time first before you divide by -7. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:34:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 2 ERROR 1,550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:35:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 3 ERROR 1,550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:35:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 2 BUG 0 0
Subtract the initial value, -1550, from the digging time first before you divide by -7. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:35:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 4 ERROR -1550/-7 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:35:55.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 5 INITIAL_HINT -1550/-7 Read the problem statement. What information is given in question 4 about the depth of the mine? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:36:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 3 BUG -1550/-7 -1550/-7
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 4 BUG (-1550)/-7 (-1550)/-7
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 5 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 6 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 7 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 8 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 9 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 10 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 6 ERROR -1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 11 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:37:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 12 BUG -1550/(-7) -1550/(-7)
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 13 OK 0-(-1550)/-7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:38:45.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:39:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG subtract 3 Since -3 is negative, you should add to remove it from the left side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:39:25.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:39:32.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:39:36.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:39:48.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 ERROR clt 2y = 8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:40:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:40:12.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR clt 2y/2 = 8/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:41:09.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:41:14.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:41:34.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+9)*4 strategic 1 BUG add 9 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:41:41.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+9)*4 strategic 2 BUG subtract 9 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:41:47.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+9)*4 strategic 3 OK clt -9+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:41:57.0 CYCLE CYCLE ES_02 ES_02-1 EG30 0*4 strategic 1 OK mt 0*4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:14.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(8-2) strategic 1 BUG add 8 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:22.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(8-2) strategic 2 OK clt 8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:27.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*6 strategic 1 OK mt -8*6 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:35.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(-3-7) strategic 1 OK clt -3-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:42.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*-10 strategic 1 OK mt -9*-10 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:51.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*-3+9 strategic 1 ERROR clt -2*-3+9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:42:56.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*-3+9 strategic 2 OK mt -2*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:43:00.0 CYCLE CYCLE ES_02 ES_02-1 EG29 6+9 strategic 1 OK clt 6+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:43:20.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-3*-9 strategic 1 OK mt 3*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:43:24.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-(-27) strategic 1 OK clt -6-(-27) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:43:45.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (5-2)*-10 strategic 1 OK clt 5-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:43:51.0 CYCLE CYCLE ES_02 ES_02-1 EG30 3*-10 strategic 1 OK mt 3*-10 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:43:58.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -10-4*-6 strategic 1 OK mt 4*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:02.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -10-(-24) strategic 1 OK clt -10-(-24) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:09.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (6-4)*-1 strategic 1 OK mt (6-4)*-1 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:14.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -(6-4) strategic 1 OK clt 6-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:21.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -4-6*-7 strategic 1 OK mt 6*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:25.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -4-(-42) strategic 1 OK clt -4-(-42) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 1 ERROR mt -9(-8-2) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:44:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 2 OK clt -8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:45:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -8-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:45:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR (-8-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:45:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR (-8-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:45:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR (-8-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:45:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR (-8-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:45:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 3 OK clt -8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:48:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR whatttttt default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:54:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -8*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:54:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -8*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:54:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -8*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:54:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 ERROR -8*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:54:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 ERROR -8*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:54:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 4 OK distribute -9(-8-2) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:55:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 5 BUG divide -2 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:55:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 6 ERROR rf -9(-8-2) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:55:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 7 ERROR rds -9(-8-2) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:55:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 8 ERROR mt -9(-8-2) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session31 2006-03-29 08:55:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-8-2) strategic 9 OK clt -8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:36:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(6+2) strategic 1 OK clt 6+2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:37:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -6(6+2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:37:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:37:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:37:24.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -12 You need to combine like terms in -6(6+2). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:37:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR 8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:37:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR --12(8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:38:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -6(8_ default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:38:02.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 8 INITIAL_HINT -6(8_ You need to combine like terms in -6(6+2). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:38:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 OK -6(8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:38:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*8 strategic 1 OK mt -6*8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:38:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -48 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:38:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6-2)*-7 strategic 1 OK clt -6-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:39:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK (-8)*(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:39:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -8*-7 strategic 1 ERROR clt -8*-7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:39:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -8*-7 strategic 2 OK mt -8*-7 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:40:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 56 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:40:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8*-7+6 strategic 1 ERROR clt -8*-7+6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:40:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8*-7+6 strategic 2 OK mt -8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:40:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 54+6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:40:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -54 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR 56 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:10.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT 56 You need to perform multiplication in -8*-7+6. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK 56+6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 56+6 strategic 1 OK clt 56+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK 62 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-9*3 strategic 1 OK mt 9*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:41:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 27 27
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:42:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -6-27 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:44:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-27 strategic 1 OK clt -6-27 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:44:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:44:22.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 33 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:44:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -33 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:44:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-2*-6 strategic 1 OK mt 2*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:44:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -9-12 -9-12
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -9--12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+12 strategic 1 OK clt -9+12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR -21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR -21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR -21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 ERROR -21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:45:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2(-6+2) strategic 1 OK clt -6+2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 2(8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 2(-8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 BUG 2(4) 2(4)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK 2(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2*-4 strategic 1 OK mt 2*-4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:46:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1+1)*-8 strategic 1 OK clt -1+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:47:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK (0)*(-8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:47:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 0*-8 strategic 1 OK mt 0*-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:47:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:47:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9*-3+7 strategic 1 OK mt -9*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:48:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -27+7 -27+7
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:48:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 27+7 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:48:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 27+7 strategic 1 OK clt 27+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:48:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 34 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:48:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6-5*2 strategic 1 OK mt 5*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:48:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 6-10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6-10 strategic 1 OK clt 6-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:22.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4-5)*-5 strategic 1 OK clt 4-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG (1)*(-5) (1)*(-5)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK (-1)*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -1*-5 strategic 1 OK mt -1*-5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:49:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 5 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8(6-6) strategic 1 OK clt 6-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -8(0) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*0 strategic 1 OK mt -8*0 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR - default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-1*3 strategic 1 OK mt 1*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:50:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -8-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:51:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-3 strategic 1 OK clt -8-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:51:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:51:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:51:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2+1)*-1 strategic 1 OK clt -2+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:51:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR (-3)*(-1) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:52:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK (-1)*(-1) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:52:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -1*-1 strategic 1 OK mt -1*-1 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:52:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 2 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:52:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR -2 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:52:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:52:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-6+9) strategic 1 OK clt -6+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:53:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -7(3) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:53:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*3 strategic 1 OK mt -7*3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:53:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -21 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:53:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6+5)*-7 strategic 1 OK clt -6+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:54:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK (-1)*(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:54:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -1*-7 strategic 1 OK mt -1*-7 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:54:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 7 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:54:50.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -14(-42-30) = y strategic 1 OK clt -42-30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:00.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -14*-72 = y strategic 1 OK mt -14*-72 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:09.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (10-9)*-9 = y strategic 1 OK clt 10-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:12.0 CYCLE CYCLE ES_02 ES_02-3 EG34 1*-9 = y strategic 1 OK mt 1*-9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:24.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -37-10*40 = x strategic 1 OK mt 10*40 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:28.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -37-400 = x strategic 1 OK clt -37-400 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:40.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -32+34*-45 strategic 1 ERROR clt y = -32+34*-45 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:44.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -32+34*-45 strategic 2 OK mt 34*-45 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:47.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -32+(-1530) strategic 1 OK clt -32+(-1530) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:54.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -4-6*-3 strategic 1 OK mt 6*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:55:57.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -4-(-18) strategic 1 OK clt -4-(-18) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:56:00.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 14 strategic 1 BUG clt y = 14 strategic You already solved the equation. y is 14. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:56:10.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -12*-11-27 strategic 1 OK mt -12*-11 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:56:13.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 132-27 strategic 1 OK clt 132-27 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:56:16.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 105 strategic 1 BUG clt x = 105 strategic You already solved the equation. x is 105. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:56:28.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 9(14-30) strategic 1 OK clt 14-30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session32 2006-03-31 08:56:31.0 CYCLE CYCLE ES_02 ES_02-3 EG35C y = 9*-16 strategic 1 OK mt 9*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:53:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -29(-5-28) strategic 1 OK clt -5-28 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:53:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 ERROR -5-28 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 ERROR (-23) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 ERROR (-33) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:21.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 4 INITIAL_HINT (-33) You need to combine like terms in -29(-5-28). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 5 OK -29(-33) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -29*-33 strategic 1 OK mt -29*-33 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 6 OK -29*(-33) default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session34 2006-04-05 08:54:52.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -29*-33 strategic 2 OK mt -29*-33 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -11(-40-19) strategic 1 OK clt -40-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 ERROR -59 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 ERROR 59 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 ERROR 59 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 4 ERROR 59 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 5 ERROR 59 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 6 ERROR -21 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:45:51.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 7 INITIAL_HINT -21 You need to combine like terms in -11(-40-19). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:46:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -11(-40-19) strategic 2 OK clt -40-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:46:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 8 ERROR (-40-19) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:47:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 9 ERROR -11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:47:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 10 ERROR -11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:47:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 11 ERROR -11(-4-19) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:47:23.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 12 INITIAL_HINT -11(-4-19) You need to combine like terms in -11(-40-19). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:47:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 13 OK -11(-59) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:48:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -11*-59 strategic 1 OK mt -11*-59 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:48:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 14 OK 649 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:48:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34B y = (10-9)*-13 strategic 1 OK clt 10-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:49:12.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK (1)*(-13) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:49:18.0 CYCLE CYCLE ES_02 ES_02-4 EG34B y = 1*-13 strategic 1 OK mt 1*-13 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:49:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK -13 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:49:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 4-8x strategic 1 ERROR clt 4 = 4-8x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 4-8x strategic 2 BUG subtract -4 To remove 4 from the right side, you can subtract a positive from it. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 4-8x strategic 3 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-4 = 4-8x-4 strategic 1 OK clt 4-8x-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-4 = -8x strategic 1 OK clt 4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -8x strategic 1 ERROR clt 0 = -8x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -8x strategic 2 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:50:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -8x strategic 3 BUG subtract -8 In -8x, x is multiplied by -8. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:51:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -8x strategic 4 ERROR distribute 0 = -8x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:52:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -8x strategic 5 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:52:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/-8 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:52:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0/-8 = x strategic 1 OK rf 0/-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:53:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y-9 = -7 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:53:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y-9-(-9) = -7-(-9) strategic 1 OK clt -6y-9-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:53:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = -7-(-9) strategic 1 OK clt -7-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:53:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 2 strategic 1 ERROR rf -6y = 2 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:54:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 2 strategic 2 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:54:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 2 strategic 3 BUG divide 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session35 2006-04-26 08:54:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 2 strategic 4 BUG divide -6y Dividing anything by itself will leave 1. If you divide -6y by -6, y will be left. Erase your last step and then divide by -6. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -2+3y strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-(-2) = -2+3y-(-2) strategic 1 OK clt -3-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = -2+3y-(-2) strategic 1 ERROR mt -1 = -2+3y-(-2) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = -2+3y-(-2) strategic 2 OK clt -2+3y-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 3y strategic 1 ERROR rf -1 = 3y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 3y strategic 2 ERROR mt -1 = 3y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:42:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 3y strategic 3 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:43:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 3y strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:43:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:43:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/3 = y strategic 1 BUG rf -1/3 = y strategic You already solved the equation. y is -1/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:44:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-6y = 10 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:44:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-6y-4 = 10-4 strategic 1 OK clt 4-6y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:44:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 10-4 strategic 1 OK clt 10-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:45:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 6 strategic 1 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:46:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 6 strategic 2 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:46:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y/-6 = 6/-6 strategic 1 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:46:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 6/-6 strategic 1 OK rf 6/-6 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:48:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 2y-6 strategic 1 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:48:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-(-6) = 2y-6-(-6) strategic 1 OK clt 2y-6-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:48:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-(-6) = 2y strategic 1 OK clt 0-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:49:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:49:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/2 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:49:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/2 = y strategic 1 OK rf 6/2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:50:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8 = 2 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:50:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x+8-8 = 2-8 strategic 1 OK clt -3x+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:50:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = 2-8 strategic 1 OK clt 2-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:51:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = -6 strategic 1 ERROR rf -3x = -6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:51:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = -6 strategic 2 ERROR clt -3x = -6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:51:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = -6 strategic 3 BUG subtract -3 In -3x, x is multiplied by -3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session36 2006-04-28 08:51:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = -6 strategic 4 BUG subtract -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:24:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-5y = 0 strategic 1 ERROR add -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:25:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-5y = 0 strategic 2 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:25:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-5y = 0 strategic 3 ERROR clt -6-5y = 0 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:28:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-5y = 0 strategic 4 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:29:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-5y+6 = 0+6 strategic 1 OK clt -6-5y+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:29:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = 0+6 strategic 1 OK clt 0+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:29:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = 6 strategic 1 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:29:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = 6 strategic 2 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = 6/-5 strategic 1 OK rf -5y/-5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 6/-5 strategic 1 OK rf 6/-5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 2y-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0+3 = 2y-3+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0+3 = 2y strategic 1 OK clt 0+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:30:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/2 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:31:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 7y-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:31:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+2 = 7y-2+2 strategic 1 OK clt 7y-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:31:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+2 = 7y strategic 1 OK clt -3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:31:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:31:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/7 = 7y/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:32:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y-5 = -5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:32:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y-5+5 = -5+5 strategic 1 OK clt -4y-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:32:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y = -5+5 strategic 1 OK clt -5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:32:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y = 0 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:32:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y/-4 = 0/-4 strategic 1 OK rf 0/-4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:32:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y/-4 = 0 strategic 1 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:33:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x-8 = -7 strategic 1 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:33:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x-8 = -7 strategic 2 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:34:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x-8 = -7 strategic 3 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:35:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x-8+8 = -7+8 strategic 1 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:35:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x-8+8 = -7+8 strategic 2 OK typein -7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:35:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x = 1 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:35:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 1/-7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:35:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 1/-7 strategic 2 BUG typein -7 -7 is equal to 1 times -7. You need to calculate 1 divided by -7. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:37:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 1/-7 strategic 3 BUG typein -7 -7 is equal to 1 times -7. You need to calculate 1 divided by -7. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:38:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 1/-7 strategic 4 ERROR typein 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:38:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 1/-7 strategic 5 BUG typein -7 -7 is equal to 1 times -7. You need to calculate 1 divided by -7. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:39:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7x/-7 = 1/-7 strategic 6 OK typein -.1428571429 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:39:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4 = -8 strategic 1 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:39:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4 = -8 strategic 2 BUG add 4 Since 4 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:39:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4 = -8 strategic 3 ERROR subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:40:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4 = -8 strategic 4 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:40:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4-4 = -8-4 strategic 1 OK typein 9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:40:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4-4 = -8-4 strategic 2 BUG typein -4 -4 is equal to -8 plus 4. You need to calculate -8 minus 4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:40:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+4-4 = -8-4 strategic 3 OK typein -12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:40:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y = -12 strategic 1 BUG divide 9y Dividing anything by itself will leave 1. If you divide 9y by 9, y will be left. Erase your last step and then divide by 9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:41:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y = -12 strategic 2 BUG divide -12 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:41:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y = -12 strategic 3 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:41:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = -12/9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:41:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = -12/9 strategic 2 BUG typein -.75 You need to calculate -12 divided by 9, not 9 divided by -12. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:42:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = -12/9 strategic 3 ERROR typein -1/33333333 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:42:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = -12/9 strategic 4 OK typein -1.33333333333 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:42:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 6x-1 strategic 1 ERROR add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:42:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 6x-1 strategic 2 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:42:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+1 = 6x-1+1 strategic 1 OK typein 6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:42:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+1 = 6x-1+1 strategic 2 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:43:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:43:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/6 = 6x/6 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:43:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/6 = 6x/6 strategic 2 ERROR typein -1.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:44:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/6 = 6x/6 strategic 3 BUG typein -6 -6 is equal to -1 times 6. You need to calculate -1 divided by 6. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:44:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/6 = 6x/6 strategic 4 OK typein -.1666666667 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:45:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -2+(y/-9) strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:45:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -2+(y/-9) strategic 2 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:45:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+2 = -2+(y/-9)+2 strategic 1 OK clt -2+(y/-9)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:45:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+2 = y/-9 strategic 1 OK clt 3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:45:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = y/-9 strategic 1 OK rf y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:46:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/9 strategic 1 ERROR rds 5 = -y/9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:46:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/9 strategic 2 ERROR clt 5 = -y/9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:46:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/9 strategic 3 ERROR rf 5 = -y/9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:46:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/9 strategic 4 ERROR divide 9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:48:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -y/9 strategic 5 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:48:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*9 = -y/9*9 strategic 1 ERROR rf 5*9 = -y/9*9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:49:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*9 = -y/9*9 strategic 2 OK mt -y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:49:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*9 = -9y/9 strategic 1 OK mt 5*9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:49:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -9y/9 strategic 1 OK rf -9y/9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:49:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 1 ERROR multiply -7 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:49:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 2 ERROR multiply -y default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:50:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 3 ERROR multiply -y default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:50:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 4 ERROR multiply -y default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:51:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 5 ERROR mt 45 = -y strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:53:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 6 ERROR ivm 45 = -y strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:53:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 7 BUG divide 45 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session37 2006-05-05 08:54:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = -y strategic 8 ERROR divide y default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:18:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = x/2-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:18:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+6 = x/2-6+6 strategic 1 OK clt x/2-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:18:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+6 = x/2 strategic 1 OK clt -7+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:18:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = x/2 strategic 1 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:18:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = x/2 strategic 2 ERROR divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:19:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = x/2 strategic 3 BUG divide 2 To remove the coefficient of x/2, you need to divide by 1/2 or multiply by 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:19:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = x/2 strategic 4 ERROR rf -1 = x/2 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:30:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = x/2 strategic 5 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:30:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1*2 = x/2*2 strategic 1 ERROR clt -1*2 = x/2*2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:31:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1*2 = x/2*2 strategic 2 OK mt x/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:31:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1*2 = x strategic 1 OK mt -1*2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:31:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4-3 = -7 strategic 1 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:31:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4-3 = -7 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:31:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4-3+3 = -7+3 strategic 1 OK clt x/-4-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = -7+3 strategic 1 OK clt -7+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = -4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4*-4 = -4*-4 strategic 1 OK mt x/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -4*-4 strategic 1 OK mt -4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = y/8-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+7 = y/8-7+7 strategic 1 OK clt y/8-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:32:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+7 = y/8 strategic 1 OK clt -7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:33:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:33:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*8 = y/8*8 strategic 1 OK mt y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:33:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*8 = y strategic 1 OK mt 0*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:33:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y strategic 1 BUG clt 0 = y strategic You already solved the equation. y is 0. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8-3 = 5 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8-3 = 5 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8-3+3 = 5+3 strategic 1 OK clt x/-8-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = 8*-8 strategic 1 OK mt 8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:35:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = -64 strategic 1 OK mt x/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:36:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5-8 = 0 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:36:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5-8+8 = 0+8 strategic 1 OK clt y/5-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:36:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = 0+8 strategic 1 OK clt 0+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:36:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = 8 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:36:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5*5 = 8*5 strategic 1 OK mt 8*5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:37:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5*5 = 40 strategic 1 OK mt y/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:37:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 40 strategic 1 BUG clt y = 40 strategic You already solved the equation. y is 40. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:37:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9+10 = 10 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:37:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9+10-10 = 10-10 strategic 1 OK clt y/-9+10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:37:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = 10-10 strategic 1 OK clt 10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:37:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = 0 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:38:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9*-9 = 0*-9 strategic 1 OK mt y/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:38:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 0*-9 strategic 1 OK mt 0*-9 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:38:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/6-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:38:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+2 = x/6-2+2 strategic 1 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:39:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+2 = x/6-2+2 strategic 2 OK typein x/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:39:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:39:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*6 = x/6*6 strategic 1 OK typein -24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:39:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*6 = x/6*6 strategic 2 OK typein x/6*6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:40:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = x/6*6 strategic 1 OK mt x/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:40:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:40:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:40:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 6x/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:40:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = 6x/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:41:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24*6 = 6x/6*6 strategic 1 ERROR typein -96 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:42:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24*6 = 6x/6*6 strategic 2 OK typein -144 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:44:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = 6x/6 strategic 2 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:45:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:46:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = -4+x/3 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:46:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+4 = -4+x/3+4 strategic 1 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:47:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+4 = -4+x/3+4 strategic 2 OK typein x/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:48:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = x/3 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:48:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*3 = x/3*3 strategic 1 OK typein 18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:48:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*3 = x/3*3 strategic 2 BUG typein x/3 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:48:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*3 = x/3*3 strategic 3 OK typein x/3*3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:48:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = x/3*3 strategic 1 OK mt x/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:48:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 3x/3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:49:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = 3x/3 strategic 1 ERROR mt 18 = 3x/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:49:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = 3x/3 strategic 2 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:49:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*3 = 3x/3*3 strategic 1 ERROR typein 51 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:50:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*3 = 3x/3*3 strategic 2 ERROR typein 50 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:50:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*3 = 3x/3*3 strategic 3 ERROR typein 55 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:51:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*3 = 3x/3*3 strategic 4 OK typein 54 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:52:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*3 = 3x/3*3 strategic 5 OK typein 3x/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:52:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = 3x/3 strategic 3 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:53:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:53:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = -10+(y/-3) strategic 1 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:54:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = -10+(y/-3) strategic 2 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:54:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+10 = -10+(y/-3)+10 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:54:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+10 = -10+(y/-3)+10 strategic 2 OK typein (y/-3) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:54:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = y/-3 strategic 1 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session38 2006-05-10 08:54:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = y/-3 strategic 2 OK rf y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:16:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -4+y/3 strategic 1 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:16:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = -4+y/3 strategic 2 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:17:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+4 = -4+y/3+4 strategic 1 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:17:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5+4 = -4+y/3+4 strategic 2 OK typein y/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:17:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = y/3 strategic 1 ERROR rf -1 = y/3 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:17:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = y/3 strategic 2 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:17:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*3 = y/3*3 strategic 1 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:17:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*3 = y/3*3 strategic 2 OK typein y/3*3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:20:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = y/3*3 strategic 1 ERROR clt -3 = y/3*3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:20:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = y/3*3 strategic 2 ERROR rf -3 = y/3*3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:20:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = y/3*3 strategic 3 OK mt y/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:20:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:20:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 3y/3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:21:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:21:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:22:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:22:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 7/x*x strategic 1 ERROR clt 3x = 7/x*x strategic default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:23:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 7/x*x strategic 2 OK mt 7/x*x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:23:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 7 strategic 1 ERROR clt 3x = 7 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:23:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x = 7 strategic 2 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:23:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3x/3 = 7/3 strategic 1 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:23:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 7/3 strategic 1 BUG rf x = 7/3 strategic You already solved the equation. x is 7/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:25:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y = -8 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:25:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y*y = -8y strategic 1 OK mt 5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:25:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -8y strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:25:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-8 = -8y/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:26:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-8 = y strategic 1 OK rf 5/-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = -8 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x*x = -8x strategic 1 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/-8 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/-8 = x strategic 1 OK rf -5/-8 default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x = 4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:27:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 4x strategic 1 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 4x strategic 2 OK typein -8/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = 4x strategic 3 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -8x/1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -8x/1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:28:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -8x/1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:30:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:31:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:31:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/4 = 4x/4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:31:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/4 = 4x/4 strategic 2 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:31:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = 5/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:31:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4y = 5/y*y strategic 1 OK typein 4y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4y = 5/y*y strategic 2 OK typein 5/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4y = 5/y*y strategic 3 OK mt 5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 5y default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1y default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 5 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4y = 5 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:32:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4y/4 = 5/4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:33:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4y/4 = 5/4 strategic 2 OK typein 5/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:33:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = -6/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:33:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = -6/x*x strategic 1 OK typein 7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:34:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = -6/x*x strategic 2 OK typein -6/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:34:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = -6/x*x strategic 3 OK mt -6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:34:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:34:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = -6 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:34:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = -6/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:34:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = -6/7 strategic 2 BUG typein 7/-6 You need to calculate -6 divided by 7, not 7 divided by -6. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 7RB2G4NbCn session39 2006-05-11 08:35:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = -6/7 strategic 3 OK typein -6/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:09:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 BUG time spent scuba diving time spent scuba diving
Try time spent taking lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:09:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 OK time spent taking lessons default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:10:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:10:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:10:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:10:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:13:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 BUG 25.50*30+90.75 25.50*30+90.75
You entered 855.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:13:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 2 BUG 25.50*30+90.75 25.50*30+90.75
You entered 855.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:13:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 25.50*30+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:14:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 3 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:14:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:14:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C2 1 BUG 25.50*50 25.50*50
Total cost of scuba lessons increases by 1275 when time spent taking lessons is 50, but remember that it starts at 90.75 dollars. BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:14:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C2 2 OK 25.50*50+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:17:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:17:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 ERROR 285.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:17:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 2 ERROR 285.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session18 2005-12-09 10:17:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 3 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session19 2005-12-14 08:44:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session19 2005-12-14 08:44:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session19 2005-12-14 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK h*25.50+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:23:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 OK default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:23:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:23:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:23:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 BUG yards yards
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:24:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 2 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:24:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK b default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:24:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:24:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 OK 30.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:24:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 ERROR 27900 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:25:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 2 OK 279.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:25:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 OK 558.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:25:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C2 1 BUG 13 13
You entered 13.00 in the wrong column. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:25:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 ERROR * default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:25:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C2 2 OK 13*13.95 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C2 1 OK 30.5*13.95 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:26:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK b*13.95 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 2 OK 279.00/13.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 558.00/13.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:29:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C1 1 OK amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:29:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 1 BUG b b
You entered B in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:29:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C1 1 OK b default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:29:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 2 OK dolalrs default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:30:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:30:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 OK 40.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:30:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 2 OK 27.50*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:30:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:31:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:32:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C2 1 OK 40.00*5+5000 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:32:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C2 1 BUG 330.00*5 330.00*5
Total number of travel points increases by 1650 when the amount spent on long distance is 330, but remember that it starts at 5000 points. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:32:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C2 2 OK 330.00*5+5000 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 1 OK b*5+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:33:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 1 BUG 46000/5-5000 46000/5-5000
Subtract the initial value, 5000, from the total amount 46000 before you do the division. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:33:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 2 BUG 46000-5000/5 46000-5000/5
Use parentheses. Type (46000 - 5000)/ 5 as (46000 - 5000)/ 5 BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 3 OK (46000-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:34:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 1 ERROR (2700-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:34:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 2 ERROR (2700-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:35:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 3 ERROR 2700-5000/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:35:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 4 ERROR 2700-5000/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:35:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13A R7C1 5 INITIAL_HINT 2700-5000/5 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:35:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13A R7C1 6 NEXT_HINT You know that the expression 5B + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5B + 5000 output the given value of 27000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:36:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 7 ERROR 5b+5000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:39:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 1 OK b*5+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:39:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 2 OK B*5+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:40:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A B*5+5000 = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:40:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A B*5 = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:40:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 8 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:41:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:41:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK dolalrs default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:41:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:41:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK b default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:42:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:42:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C2 1 OK 1750*39.50 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:42:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 OK 85+150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C2 1 OK 235*39.50 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:42:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 1 OK 177750.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:43:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C2 1 OK 18762.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:43:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 ERROR 177.750.00/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:43:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 2 ERROR 177.750.00/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:43:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 3 OK 177750.00/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:43:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 OK 18762.50/39.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:44:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 OK b*39.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time from now default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:45:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance the jet has flown default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:45:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:45:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK f default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 ERROR .30 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 2 OK .5 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:46:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 2 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:46:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:46:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 1.10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:46:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 1.45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:47:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 3 ERROR 1.6 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:47:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 4 INITIAL_HINT 1.6 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:47:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 5 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:47:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 6 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 7 ERROR 1.3/4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C2 1 OK .5*1300+775 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:48:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 BUG 3500/2 3500/2
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:48:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 3 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:49:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 ERROR 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:49:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 BUG 1750 1750
You entered 1,750 in the wrong row. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:49:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 8 ERROR 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:49:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 2 BUG 3500/2 3500/2
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:49:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 2 ERROR 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session20 2005-12-16 08:49:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 3 BUG 1750 1750
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 OK 1.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:21:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 OK 1.75*1300+775 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:24:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 OK F*1300+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:26:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 1 INITIAL_HINT 1750 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:26:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 2 NEXT_HINT You know that the expression 1300F + 775 represents the total distance it has flown. What value of the time will make the general expression 1300F + 775 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:27:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1300F + 775 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:30:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 4 NEXT_HINT Solve the equation 1300F + 775 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:31:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 OK f*1300+775=1750 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:31:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 OK F*1300+775=1750 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:31:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C F*1300+775 = 1750 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:31:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C F*1300 = 975 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:32:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 5 OK 3/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:32:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 3 BUG F*1300+775=3500 F*1300+775=3500
Please check to make sure that F*1300+775=3500 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 4 BUG F*1300+775=3500 F*1300+775=3500
Please check to make sure that F*1300+775=3500 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:33:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C F*1300+775 = 3500 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:33:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C F*1300 = 2725 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:33:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 OK 109/52 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:34:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C1 1 OK number of students enrolled in algebra default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:37:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 1 OK k default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C2 1 OK number of students receiving a or b default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:41:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R4C1 1 OK 440 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:41:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R5C1 1 OK 700 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C2 1 OK 1125 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session21 2005-12-21 08:42:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C2 1 OK 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:21:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R4C2 1 OK .25*440 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:21:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R5C2 1 OK .25*700 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:23:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C1 1 OK 1125/.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:23:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C1 1 OK 40/.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:24:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 1 OK .25*k default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C1 1 OK number of snow cones we sell default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:26:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R1C2 1 OK profit default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:26:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:26:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:29:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:29:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R5C1 1 OK 800 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:29:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C2 1 OK 550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:30:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C2 1 OK 473.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:30:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R4C2 1 OK 1.25*100-75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:31:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R5C2 1 OK 800*1.25-75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:32:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 1 BUG 550/1.25+75 550/1.25+75
Subtract the initial value, -75, from the total amount 550 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 2 BUG 550-75/1.25 550-75/1.25
Use parentheses. Type (550 - -75)/ 1.25 as (550 - -75)/ 1.25 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:33:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 3 BUG 550-(-75)/1.25 550-(-75)/1.25
Use parentheses. Type (550 - -75)/ 1.25 as (550 - -75)/ 1.25 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:33:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R6C1 4 OK (550--75)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R7C1 1 OK (473.75--75)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:35:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41B R3C2 1 OK s*1.25-75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 OK length of the mobile telephone call default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:35:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C2 1 OK total cost of the call default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 1 BUG 10 10
You entered 10 in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 2 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 1 OK 22.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C2 1 OK 57.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:36:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C2 1 OK 10*1.25+2.50 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:37:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C2 1 OK 5*1.25+2.50 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:37:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 1 BUG (22.50--2.50)/1.25 (22.50--2.50)/1.25
Subtracting 2.5 from 22.5 is OK, but then you need to divide by 1.25. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:37:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 2 ERROR (22.50--1.25)/2.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:38:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 3 ERROR 22.50-(-1.25)/2.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:38:14.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R6C1 4 INITIAL_HINT 22.50-(-1.25)/2.50 Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:38:18.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R6C1 5 NEXT_HINT How many minutes does it take to get the cost of a mobile telephone call to be 22.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:38:25.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R6C1 6 NEXT_HINT If you were given the length of the phone call (the input) and you wanted to find the cost of a mobile telephone call (the output), you would perform one or more operations on the length of the phone call. Since you are given the cost of a mobile telephone call, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:38:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 7 BUG 22.50/1.25-2.50 22.50/1.25-2.50
Subtract the initial value, 2.5, from the total amount 22.5 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:39:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 8 BUG 22.5-2.5/1.25 22.5-2.5/1.25
Subtract the initial value, 2.5, from the total amount 22.5 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:39:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 9 BUG 22.50-2.5/1.25 22.50-2.5/1.25
Subtract the initial value, 2.5, from the total amount 22.5 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:41:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 10 OK (22.5-2.5)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 1 OK m*1.25+2.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:41:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 1 ERROR (57.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:42:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 2 ERROR (57.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 3 ERROR (57.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:42:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 4 OK (57.50-2.50)/1.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:44:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:44:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 BUG g g
You entered G in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK g default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 2 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:44:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of the order default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:44:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C2 1 BUG 500 500
You entered 500.00 in the wrong column. BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session22 2006-01-04 08:46:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:30:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C2 1 ERROR 500-.25+25 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:30:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C2 2 ERROR 500-.25 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:30:30.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R4C2 3 INITIAL_HINT 500-.25 You are given a value for the cost of the items. Find the total cost of the order. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:30:33.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R4C2 4 NEXT_HINT You are given a value for the cost of the items. Find the total cost of the order by calculating 0.75 times the cost of the items plus 25. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:30:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C2 5 OK 500*0.75+25 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:31:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C2 1 OK 150*0.75+25 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:31:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 ERROR 231/0.75-25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:31:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 2 BUG 231.25/0.75-25 231.25/0.75-25
Subtract the initial value, 25, from the total amount 231.25 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:31:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 3 BUG 231.25-25/0.75 231.25-25/0.75
Use parentheses. Type (231.25 - 25)/ 0.75 as (231.25 - 25)/ 0.75 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:32:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 4 OK (231.25-25)/0.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:32:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK (250-25)/0.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:32:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 OK g*0.75+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:33:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK cellular phone time used next month default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:33:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 OK balance on the next bill default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 OK 38.13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C2 1 OK 43*.23-7.87 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C2 1 OK 100*.23-7.87 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:35:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 OK m*.23-7.87 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:36:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 BUG 38.13-7.87/.23 38.13-7.87/.23
Use parentheses. Type (38.13 - -7.87)/ 0.23 as (38.13 - -7.87)/ 0.23 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:36:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 2 ERROR (38.13-7.87)/.23 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 3 ERROR (38.13-7.87)/.23 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:37:04.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R6C1 4 INITIAL_HINT (38.13-7.87)/.23 38.13 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 38.13 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:37:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 5 ERROR (38.13-7.87)/.23 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK m*0.23-7.87=38.13 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK M*0.23-7.87=38.13 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:40:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 M*0.23-7.87 = 38.13 strategic 1 BUG subtract 7.87 Since -7.87 is negative, you should add to remove it from the left side. Erase your last step and add 7.87 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:40:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 M*0.23-7.87 = 38.13 strategic 2 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:41:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 M*0.23 = 46 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 6 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:42:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK (25+7.87)/.23 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:43:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK number of hours from now default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:43:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:43:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 2 OK degrees celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:44:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK k default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:44:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 OK -72 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:44:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:44:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 ERROR 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:46:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 1 BUG -36 -36
The temperature of the liquid starts at -36. How much does it change when the number of hours from now is 24? BUG default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:46:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 2 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 2 OK -36-4.5*24 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:48:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 OK -36-4.5*k default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:50:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -36-4.5k=-72 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:50:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-4.5K=-72 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:50:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5K = -72 strategic 1 ERROR add 4.5k default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:51:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36 = -72+4.5k strategic 1 ERROR rf -36 = -72+4.5k strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:51:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5K = -72 strategic 2 OK subtract -36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:51:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = -36 strategic 1 ERROR divide 4.5k default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:52:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = -36 strategic 2 BUG divide -36 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = -36 strategic 3 ERROR multiply -4.5k default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = -36 strategic 4 ERROR multiply 4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:52:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = -36 strategic 5 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:52:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:53:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 3 OK -36-4.5K=0 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:53:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5K = 0 strategic 1 BUG add -36 To remove -36 from the left side, you can add a positive to it. Erase your last step and add 36 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5K = 0 strategic 2 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:53:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = 36 strategic 1 BUG divide 36 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:53:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5K = 36 strategic 2 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:53:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:54:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C1 1 OK digging time default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:54:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 1 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:54:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 2 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:54:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 3 BUG time time
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TIME? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:55:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 4 BUG year year
YEAR is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:55:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 5 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:55:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C2 1 OK depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session23 2006-01-06 08:55:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C1 1 OK e default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:19:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 1 BUG 12 12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:19:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 2 OK -12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:19:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C2 1 BUG 1450-8*12 1450-8*12
Think about the sign of your answer. BUG default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:19:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C2 2 BUG -1450-8*12 -1450-8*12
Should the depth of the mine increase or decrease? BUG default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:19:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C2 3 OK -1450+8*12 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:20:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 1 BUG -1450+12*8 -1450+12*8
You entered -1,354 in the wrong row. BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:21:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:21:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R5C1 1 OK 10*12 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:21:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 2 BUG -1450+8*e -1450+8*e
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:21:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 3 OK -1450-8*e default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:23:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 1 BUG 1994 1994
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:24:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 2 OK -1994 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:30:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C ValidEquations 1 BUG -1450-8h=-1994 -1450-8h=-1994
Please check to make sure that -1450-8h=-1994 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:30:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8h = -1994 strategic 1 BUG add -1450 To remove -1450 from the left side, you can add a positive to it. Erase your last step and add 1450 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:30:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8h = -1994 strategic 2 OK add 1450 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:30:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8h = -544 strategic 1 ERROR divide 544 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:31:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8h = -544 strategic 2 BUG divide 8 In this equation, h is multiplied by -8. Dividing by 8 leaves -h, so you still need to remove the negative sign. It is better to divide by -8, since that would leave h. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:31:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8h = -544 strategic 3 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:31:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C1 1 OK 68 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:32:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 1 OK -1450/8 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:33:09.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:33:21.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:33:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:33:45.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 ERROR mt 2y = 8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:33:56.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:34:05.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:34:18.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:34:38.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:34:54.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-7)*4 strategic 1 ERROR mt (-5-7)*4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:35:07.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-7)*4 strategic 2 BUG divide -5 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:35:16.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-7)*4 strategic 3 ERROR mt (-5-7)*4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:35:23.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-7)*4 strategic 4 ERROR rds (-5-7)*4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:35:30.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-7)*4 strategic 5 OK clt -5-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:35:36.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -12*4 strategic 1 OK mt -12*4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:35:49.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -48 strategic 1 BUG rf -48 strategic You already simplified the expression. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:02.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -48 strategic 2 BUG divide 48 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:07.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -48 strategic 3 BUG clt -48 strategic You already simplified the expression. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:17.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5(-6-7) strategic 1 OK clt -6-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:22.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5*-13 strategic 1 OK mt -5*-13 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:32.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4+0*7 strategic 1 ERROR clt 4+0*7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:41.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4+0*7 strategic 2 OK mt 0*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:46.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4+0 strategic 1 OK clt 4+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:36:57.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-1*-2 strategic 1 OK mt 1*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:00.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-(-2) strategic 1 ERROR mt 7-(-2) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:04.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-(-2) strategic 2 OK clt 7-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:12.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7(2-9) strategic 1 OK clt 2-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:16.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7*-7 strategic 1 OK mt -7*-7 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:23.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-1*-4 strategic 1 OK mt 1*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:26.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-(-4) strategic 1 OK clt -8-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:34.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-10-4)*-5 strategic 1 OK clt -10-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:38.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -14*-5 strategic 1 OK mt -14*-5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-2*9 strategic 1 OK mt 2*9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:37:51.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-18 strategic 1 OK clt 5-18 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:38:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (6+0)*-6 strategic 1 OK clt 6+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:38:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 6*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:38:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 6*-6 strategic 1 OK mt 6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:39:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:39:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(7-9) strategic 1 OK clt 7-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:39:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -6*(7-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:39:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR 7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR 7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR (7-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:07.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 7 INITIAL_HINT (7-9) You need to combine like terms in -6(7-9). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR 16 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR 7+9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -6*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-2 strategic 1 OK mt -6*-2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 ERROR 16 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:40:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 ERROR -16 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 OK 12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-6*6 strategic 1 OK mt 6*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -8-36 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -8-36 strategic 1 OK clt -8-36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -28 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 28 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 28 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:41:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 28 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:42:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -44 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:42:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8+1)*-6 strategic 1 OK clt -8+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:42:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -7*(-6) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:42:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*-6 strategic 1 OK mt -7*-6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:42:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 42 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:42:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1+10*-1 strategic 1 OK clt -1+10*-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:43:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*-11R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:43:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*-11R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the 10*-1 terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:43:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*-11R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:44:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant terms1R1 strategic 1 BUG 10*-1 10*-1
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 10*-1, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:44:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*-11R1 strategic 4 OK 10*-1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:44:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant terms1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:44:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant terms1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:44:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant terms1R1 strategic 4 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:44:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 10*-1R2 strategic 1 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant termsR2 strategic 1 ERROR -11 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant termsR2 strategic 2 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(1-2) strategic 1 OK clt 1-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -4*-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4*-1 strategic 1 OK mt -4*-1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:45:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-4*-9 strategic 1 ERROR clt -3-4*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-4*-9 strategic 2 OK mt 4*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 36 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -108 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -108 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR -108 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:46:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR -108 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:47:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR 63 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:47:03.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 7 INITIAL_HINT 63 You need to perform multiplication in -3-4*-9. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:47:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 ERROR 36 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:47:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 ERROR -3(36) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:47:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 10 OK -3-(-36) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:47:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+36 strategic 1 OK clt -3+36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 11 OK 33 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:15.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3*-6+2 strategic 1 OK mt -3*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 18+2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 18+2 strategic 1 OK clt 18+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 20 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:52.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-5*8 strategic 1 ERROR clt -1-5*8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:48:56.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-5*8 strategic 2 OK mt 5*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:49:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -1( default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:49:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -1(-40) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:49:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 5*8 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:49:41.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 5*8 You need to perform multiplication in -1-5*8. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:50:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR -1(40) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:50:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -1-40 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:50:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-40 strategic 1 OK clt -1-40 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:50:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK -41 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:50:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*-7-8 strategic 1 OK mt -2*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 14-8 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 14-8 strategic 1 OK clt 14-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-3*-7 strategic 1 ERROR clt -1-3*-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-3*-7 strategic 2 OK mt 3*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 21-1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 21-1 strategic 1 OK clt 21-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 20 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:51:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*-2-5 strategic 1 OK mt -2*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 4-5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4-5 strategic 1 OK clt 4-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-3*2 strategic 1 OK mt 3*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -6-1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-1 strategic 1 OK clt -6-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:52:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:10.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 13(-1+48) = y strategic 1 OK clt -1+48 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:15.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 13*47 = y strategic 1 OK mt 13*47 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:24.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-3-9)*-7 = x strategic 1 OK clt -3-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:28.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -12*-7 = x strategic 1 OK mt -12*-7 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:37.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = 27-34*-8 strategic 1 ERROR clt y = 27-34*-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:42.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = 27-34*-8 strategic 2 OK mt 34*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:46.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = 27-(-272) strategic 1 OK clt 27-(-272) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:53:57.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -1*1+10 strategic 1 OK mt -1*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:00.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -1+10 strategic 1 OK clt -1+10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:10.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -42+45*-9 = y strategic 1 OK mt 45*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:13.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -42+(-405) = y strategic 1 OK clt -42+(-405) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:22.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-19+30)*42 strategic 1 OK clt -19+30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:24.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = 11*42 strategic 1 OK mt 11*42 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:36.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -41*-21-36 strategic 1 OK mt -41*-21 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:39.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = 861-36 strategic 1 OK clt 861-36 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:54:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -3(-29+15) strategic 1 OK clt -29+15 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:55:06.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 ERROR -3-14 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:55:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -3(-14) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:55:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -3*-14 strategic 1 OK mt -3*-14 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session24 2006-01-11 08:55:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK 42 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:17:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (8+7)*0 strategic 1 OK clt 8+7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:17:22.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK 15*0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:17:38.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = 15*0 strategic 1 OK mt 15*0 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:17:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:17:55.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (40-8)*-16 strategic 1 OK clt 40-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:18:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK 32*(-16) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:18:17.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = 32*-16 strategic 1 OK mt 32*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:20:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 32*(-16) default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:20:55.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = 32*-16 strategic 2 OK mt 32*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:21:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 OK 32*(-16) default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:24:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = 32*-16 strategic 3 OK mt 32*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:24:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 OK -512 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:24:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -38(-45-50) strategic 1 OK clt -45-50 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:24:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -38*-95 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:25:00.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -38*-95 strategic 1 OK mt -38*-95 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:25:15.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 3610 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:25:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+7y = 7 strategic 1 ERROR clt -5+7y = 7 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:25:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+7y = 7 strategic 2 ERROR mt -5+7y = 7 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:25:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+7y = 7 strategic 3 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:26:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+7y = 7 strategic 4 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:26:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+7y-(-5) = 7-(-5) strategic 1 OK clt 7-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:26:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+7y-(-5) = 12 strategic 1 OK clt -5+7y-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:26:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 12 strategic 1 ERROR mt 7y = 12 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:26:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 12 strategic 2 BUG subtract 12 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:26:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 12 strategic 3 BUG subtract 7 In 7y, y is multiplied by 7. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:27:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 12 strategic 4 BUG divide 7y Dividing anything by itself will leave 1. If you divide 7y by 7, y will be left. Erase your last step and then divide by 7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:27:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y = 12 strategic 5 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:27:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7y/7 = 12/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:27:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+8 = 4 strategic 1 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:27:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+8 = 4 strategic 2 ERROR subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:27:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+8 = 4 strategic 3 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:28:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+8-8 = 4-8 strategic 1 OK clt -6x+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:28:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 4-8 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:28:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = (4-8)/-6 strategic 1 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:28:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = (4-8)/-6 strategic 1 OK rf (4-8)/-6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:28:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -(4-8)/6 strategic 1 ERROR rf x = -(4-8)/6 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:28:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -(4-8)/6 strategic 2 OK clt 4-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 5+8y strategic 1 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = 5+8y strategic 2 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-5 = 5+8y-5 strategic 1 OK clt 5+8y-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-5 = 8y strategic 1 ERROR divide 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-5 = 8y strategic 2 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9-5)/8 = 8y/8 strategic 1 ERROR rds (9-5)/8 = 8y/8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9-5)/8 = 8y/8 strategic 2 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9-5)/8 = y strategic 1 ERROR rf (9-5)/8 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:29:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9-5)/8 = y strategic 2 OK clt 9-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 5x-5 strategic 1 BUG add -5 To remove -5 from the right side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 5x-5 strategic 2 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+5 = 5x-5+5 strategic 1 OK clt 5x-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+5 = 5x strategic 1 ERROR subtract 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+5 = 5x strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-3+5)/5 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:30:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (-3+5)/5 = x strategic 1 OK clt -3+5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = -7y-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+7 = -7y-7+7 strategic 1 OK clt -7y-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+7 = -7y strategic 1 BUG divide 7 In this equation, y is multiplied by -7. Dividing by 7 leaves -y, so you still need to remove the negative sign. It is better to divide by -7, since that would leave y. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+7 = -7y strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+7)/-7 = -7y/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+7)/-7 = y strategic 1 OK clt 10+7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:31:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 7y+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-2 = 7y+2-2 strategic 1 OK clt 7y+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-2 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (4-2)/7 = 7y/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (4-2)/7 = y strategic 1 OK clt 4-2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9y-3 = 6 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9y-3+3 = 6+3 strategic 1 OK clt -9y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9y = 6+3 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9y/-9 = (6+3)/-9 strategic 1 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:32:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = (6+3)/-9 strategic 1 OK clt 6+3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:35:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6 = -3 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:35:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6+6 = -3+6 strategic 1 ERROR typein -12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:35:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6+6 = -3+6 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:37:58.0 HINT HINT ES_02 ES_02-6 EG40 -3x-6+6 = -3+6 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:38:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+6 = -3x-6+6 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:38:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+6 = -3x-6+6 strategic 2 ERROR typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:38:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+6 = -3x-6+6 strategic 3 ERROR typein -12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:39:11.0 HINT HINT ES_02 ES_02-6 EG40 -3+6 = -3x-6+6 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:39:12.0 HINT HINT ES_02 ES_02-6 EG40 -3+6 = -3x-6+6 strategic 5 NEXT_HINT Type in -3x-6+6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:39:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+6 = -3x-6+6 strategic 6 OK typein -3x-6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:39:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -3x-6+6 strategic 1 OK clt -3x-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 BUG -6 -6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 6 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 7 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 8 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 9 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 10 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 11 BUG +6 +6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:40:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 12 BUG -6 -6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:41:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:41:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 13 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:41:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 14 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:42:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 15 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:42:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 ERROR 6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:44:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:44:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:44:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 ERROR -3 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:44:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:44:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -3x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:44:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -3x strategic 1 ERROR clt 3 = -3x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:45:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -3x strategic 2 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:45:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3x/-3 strategic 1 OK typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:45:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3x/-3 strategic 2 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:45:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3x/-3 strategic 3 BUG typein -1x You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:45:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3x/-3 strategic 4 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:45:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3x/-3 strategic 5 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:46:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4 = 4 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:47:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 1 BUG typein 4 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:47:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 2 ERROR typein -5+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:47:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 3 ERROR typein 3-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:47:39.0 HINT HINT ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:47:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 5 ERROR typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 6 BUG typein -8 The result should be positive. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 7 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 8 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 9 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 10 ERROR typein -81 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 11 ERROR typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:48:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 12 ERROR typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:49:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 13 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:49:49.0 HINT HINT ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 14 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:49:50.0 HINT HINT ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 15 NEXT_HINT Type in -5y-4+4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:50:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 4+4 strategic 16 OK typein -5y-4+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:50:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y-4+4 = 8 strategic 1 OK clt -5y-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:50:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:50:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:50:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:50:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -5y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:51:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:51:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -5y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:51:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y = 8 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:51:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = 8/-5 strategic 1 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:51:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = 8/-5 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:51:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5y/-5 = 8/-5 strategic 3 OK typein -1.6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:52:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+6y = -2 strategic 1 BUG subtract 5 Since -5 is negative, you should add to remove it from the left side. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:53:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+6y = -2 strategic 2 BUG subtract 5 Since -5 is negative, you should add to remove it from the left side. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:53:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+6y = -2 strategic 3 ERROR divide -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:53:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+6y = -2 strategic 4 BUG subtract 5 Since -5 is negative, you should add to remove it from the left side. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:53:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+6y = -2 strategic 5 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session25 2006-01-20 08:53:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+6y-(-5) = -2-(-5) strategic 1 ERROR typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:18:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -6x+2 strategic 1 BUG add -3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:18:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -6x+2 strategic 2 ERROR add -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:18:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -6x+2 strategic 3 ERROR subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:19:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -6x+2 strategic 4 ERROR add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:19:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -6x+2 strategic 5 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:19:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -6x+2 strategic 6 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:20:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-2 = -6x+2-2 strategic 1 ERROR typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:21:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-2 = -6x+2-2 strategic 2 BUG typein -6x+4 -6x+4 is equal to -6x+2 plus 2. You need to calculate -6x+2 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:21:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-2 = -6x+2-2 strategic 3 BUG typein -6 You forgot the x. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:21:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-2 = -6x+2-2 strategic 4 OK typein -6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:21:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-2 = -6x+2-2 strategic 5 BUG typein -1 -1 is equal to -3 plus 2. You need to calculate -3 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-2 = -6x+2-2 strategic 6 OK typein -5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -6x strategic 1 ERROR clt -5 = -6x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -6x strategic 2 BUG divide 6 In this equation, x is multiplied by -6. Dividing by 6 leaves -x, so you still need to remove the negative sign. It is better to divide by -6, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -6x strategic 3 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-6 = -6x/-6 strategic 1 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-6 = -6x/-6 strategic 2 ERROR typein 12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:22:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-6 = -6x/-6 strategic 3 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:23:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-6 = -6x/-6 strategic 4 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:23:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/-6 = -6x/-6 strategic 5 OK typein 0.83 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:23:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x = -7 strategic 1 ERROR subtract 9x default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:23:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x = -7 strategic 2 BUG subtract -7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:24:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x = -7 strategic 3 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:24:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 1 BUG typein -1 -1 is equal to -7 plus 6. You need to calculate -7 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:24:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 2 OK typein -13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:24:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 3 ERROR typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:25:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 4 ERROR typein 12x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:25:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 5 ERROR typein 21x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:25:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 6 ERROR typein 15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:26:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 7 ERROR typein -12x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:26:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 8 ERROR typein 12x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:26:38.0 HINT HINT ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 9 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:26:42.0 HINT HINT ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 10 NEXT_HINT Type in 6+9x-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:27:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -7-6 strategic 11 OK typein 6+9x-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:27:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+9x-6 = -13 strategic 1 OK clt 6+9x-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:27:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:27:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:27:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 ERROR 6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 BUG -6 -6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG 6 6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG 6 6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:28:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 BUG x x
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 BUG x x
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 OK -6+6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 ERROR 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:29:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK 9x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:30:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -13 strategic 1 BUG divide -13 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:30:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -13 strategic 2 BUG divide 9x Dividing anything by itself will leave 1. If you divide 9x by 9, x will be left. Erase your last step and then divide by 9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:30:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -13 strategic 3 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:30:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -13/9 strategic 1 ERROR typein -1.4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:30:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -13/9 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:31:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -13/9 strategic 3 OK typein -1.4444 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x = -6 strategic 1 BUG add -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x = -6 strategic 2 ERROR add -4x default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x = -6 strategic 3 BUG add -9 To remove -9 from the left side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x = -6 strategic 4 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x+9 = -6+9 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x+9 = -6+9 strategic 2 BUG typein -9-4x You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:32:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x+9 = -6+9 strategic 3 OK typein -9-4x+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-4x+9 = 3 strategic 1 OK clt -9-4x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +9 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -4x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -4x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK -9+9 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -8x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -8x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:33:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -8x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:34:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -4x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:34:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = 3 strategic 1 BUG divide -4x Dividing anything by itself will leave 1. If you divide -4x by -4, x will be left. Erase your last step and then divide by -4. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:34:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = 3 strategic 2 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:34:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x/-4 = 3/-4 strategic 1 OK typein -0.75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:34:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x/-4 = 3/-4 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:35:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x/-4 = 3/-4 strategic 3 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:35:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2 = 4 strategic 1 ERROR add 4y default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:35:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2 = 4 strategic 2 BUG add 4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:35:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2 = 4 strategic 3 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:35:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2+2 = 4+2 strategic 1 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2+2 = 4+2 strategic 2 BUG typein 4y-2 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:36:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2+2 = 4+2 strategic 3 OK typein 4y-2+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:36:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y-2+2 = 6 strategic 1 OK clt 4y-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:36:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:36:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 2-2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 4y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y = 6 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y/4 = 6/4 strategic 1 OK typein 1.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4y/4 = 6/4 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:37:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y+1 = 8 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:38:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y+1-1 = 8-1 strategic 1 BUG typein 9 9 is equal to 8 plus 1. You need to calculate 8 minus 1. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:38:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y+1-1 = 8-1 strategic 2 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:38:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y+1-1 = 8-1 strategic 3 OK typein -10y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:38:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y = 7 strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:39:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y/-10 = 7/-10 strategic 1 OK typein -0.7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:39:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10y/-10 = 7/-10 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:39:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -5+8y strategic 1 BUG subtract 5 Since -5 is negative, you should add to remove it from the right side. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:39:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -5+8y strategic 2 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:39:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 1 OK typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:40:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 2 ERROR typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:40:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 3 ERROR typein -5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:40:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 4 ERROR typein -5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:40:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 5 ERROR typein -60 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 6 ERROR typein -5+5*7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:41:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 7 ERROR typein 7+5-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:41:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 8 ERROR typein 7+-5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 9 ERROR typein 12-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 10 ERROR typein 12*-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:30.0 HINT HINT ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 11 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:32.0 HINT HINT ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 12 NEXT_HINT Type in -5+8y+5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 7+5 strategic 13 OK typein -5+8y+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+8y+5 = 12 strategic 1 OK clt -5+8y+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:42:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 BUG +8y +8y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +8y, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 8y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 8y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 5-5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 8y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8y = 12 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:43:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8y/8 = 12/8 strategic 1 OK typein 1.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:44:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8y/8 = 12/8 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:44:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+5 = 10 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:44:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+5-5 = 10-5 strategic 1 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:44:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+5-5 = 10-5 strategic 2 OK typein 9y+5-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:44:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y+5-5 = 5 strategic 1 OK clt 9y+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:44:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 9y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK +5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 9y default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK -5+5 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 9y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y = 5 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = 5/9 strategic 1 OK typein 0.555556 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:45:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9y/9 = 5/9 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:46:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+y/2 = 0 strategic 1 BUG subtract 2 Since -2 is negative, you should add to remove it from the left side. Erase your last step and add 2 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:46:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+y/2 = 0 strategic 2 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:46:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+y/2+2 = 0+2 strategic 1 OK clt -2+y/2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:46:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = 0+2 strategic 1 OK clt 0+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:46:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = 2 strategic 1 BUG divide 2 To remove the coefficient of y/2, you need to divide by 1/2 or multiply by 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:46:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = 2 strategic 2 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:47:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2*2 = 2*2 strategic 1 OK mt 2*2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:47:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2*2 = 4 strategic 1 OK mt y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:47:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+y/4 = -2 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:47:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+y/4+3 = -2+3 strategic 1 OK clt -3+y/4+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:47:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4 = -2+3 strategic 1 OK clt -2+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:47:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4 = 1 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4*4 = 1*4 strategic 1 OK mt y/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 1*4 strategic 1 OK mt 1*4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+x/6 = -2 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+x/6+3 = -2+3 strategic 1 OK clt -3+x/6+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = -2+3 strategic 1 OK clt -2+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6 = 1 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6*6 = 1*6 strategic 1 OK mt 1*6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:50:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/6*6 = 6 strategic 1 OK mt x/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/10+2 strategic 1 ERROR add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/10+2 strategic 2 BUG add 2 Since 2 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 2 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/10+2 strategic 3 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10-2 = x/10+2-2 strategic 1 OK clt x/10+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10-2 = x/10 strategic 1 OK clt -10-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12 = x/10 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*10 = x/10*10 strategic 1 OK mt x/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:51:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12*10 = x strategic 1 OK mt -12*10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4+6 = -6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4+6-6 = -6-6 strategic 1 OK clt x/-4+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = -6-6 strategic 1 OK clt -6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = -12 strategic 1 BUG multiply 4 Multiplying by 4 will leave -x. It is better to multiply by -4, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = -12 strategic 2 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4*-4 = -12*-4 strategic 1 OK mt x/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:52:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -12*-4 strategic 1 OK mt -12*-4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/-4+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6-6 = y/-4+6-6 strategic 1 OK clt 6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4+6-6 strategic 1 OK clt y/-4+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = y/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*-4 = y/-4*-4 strategic 1 OK mt y/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0*-4 = y strategic 1 OK mt 0*-4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7-10 = 9 strategic 1 BUG add -10 To remove -10 from the left side, you can add a positive to it. Erase your last step and add 10 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7-10 = 9 strategic 2 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:53:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7-10+10 = 9+10 strategic 1 OK typein 19 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:54:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7-10+10 = 9+10 strategic 2 ERROR typein -3/x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session26 2006-01-25 08:54:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7-10+10 = 9+10 strategic 3 ERROR typein -3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:20:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -1+x/6 strategic 1 BUG subtract 1 Since -1 is negative, you should add to remove it from the right side. Erase your last step and add 1 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:20:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -1+x/6 strategic 2 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:22:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+x/6+1 strategic 1 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:22:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+x/6+1 = -1+1 strategic 1 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:22:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+x/6+1 = -1+1 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:23:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+x/6+1 = -1+1 strategic 3 OK typein x/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:23:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6 = 0 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:23:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6*6 = 0*6 strategic 1 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:24:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6*6 = 0*6 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:24:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = 1+y/8 strategic 1 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = 1+y/8 strategic 2 BUG add 1 Since 1 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 1 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = 1+y/8 strategic 3 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 1 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 3 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 4 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 5 ERROR typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:25:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 6 ERROR typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:26:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 7 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:26:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 8 BUG typein -7 -7 is equal to -8 plus 1. You need to calculate -8 minus 1. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:26:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 9 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:26:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+y/8-1 strategic 10 OK typein y/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:26:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = y/8 strategic 1 BUG multiply -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:26:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = y/8 strategic 2 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:27:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*8 = y/8*8 strategic 1 OK typein -72 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:27:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*8 = y/8*8 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:28:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1+(x/-8) = -8 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:28:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1+(x/-8)-1 = -8-1 strategic 1 BUG typein -7 -7 is equal to -8 plus 1. You need to calculate -8 minus 1. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1+(x/-8)-1 = -8-1 strategic 2 ERROR typein x-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 1 OK typein x/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 2 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 3 BUG typein -8 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 4 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 5 ERROR typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:29:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 6 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:31:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-1 = 1+(x/-8)-1 strategic 7 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:32:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = x/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:32:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*-8 = x/-8*-8 strategic 1 OK typein 72 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:32:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9*-8 = x/-8*-8 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:33:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-2 = 6 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-2+2 = 6+2 strategic 1 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:33:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9-2+2 = 6+2 strategic 2 OK typein x/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:34:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9 = 8 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:34:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9*-9 = 8*-9 strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:34:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-9*-9 = 8*-9 strategic 2 OK typein -72 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:35:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+x/4 = -3 strategic 1 ERROR add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:35:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+x/4 = -3 strategic 2 ERROR subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:35:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+x/4 = -3 strategic 3 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:35:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+x/4-10 = -3-10 strategic 1 OK typein -13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:36:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+x/4-10 = -3-10 strategic 2 OK typein x/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:36:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = -13 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:36:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -13*4 strategic 1 ERROR typein -12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:36:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -13*4 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:36:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -13*4 strategic 3 OK typein -52 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4-8 = 8 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4-8+8 = 8+8 strategic 1 OK typein 16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4-8+8 = 8+8 strategic 2 OK typein y/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4 = 16 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4*4 = 16*4 strategic 1 ERROR typein 24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4*4 = 16*4 strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:37:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/4*4 = 16*4 strategic 3 OK typein 64 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:38:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10-5 = -5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:38:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10-5+5 = -5+5 strategic 1 OK typein y/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:38:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10-5+5 = -5+5 strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:39:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10 = 0 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:39:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10*10 = 0*10 strategic 1 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:39:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10*10 = 0*10 strategic 2 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:40:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = -8/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:40:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = -8/x*x strategic 1 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:41:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = -8 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:41:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x/7 = -8/7 strategic 1 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:42:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1 = 2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:42:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1x = 2/x*x strategic 1 OK mt 2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:42:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1x = 2 strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:43:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1x/1 = 2/1 strategic 1 OK rf 1x/1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:43:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -5/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:43:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4x = -5/x*x strategic 1 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:43:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4x = -5 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:43:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4x/4 = -5/4 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:44:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x = 4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:45:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 1 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:45:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 2 BUG typein 3/x You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:45:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 3 ERROR typein 3x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:45:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = 4x strategic 4 OK typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:45:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 1 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:46:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 2 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:46:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 3 ERROR rf 3 = 4x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:46:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 4 ERROR mt 3 = 4x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:46:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 5 ERROR divide x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:46:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 6 BUG divide 4x Dividing anything by itself will leave 1. If you divide 4x by 4, x will be left. Erase your last step and then divide by 4. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:46:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 4x strategic 7 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:47:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/4 = 4x/4 strategic 1 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:47:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/4 = 4x/4 strategic 2 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:47:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/4 = 4x/4 strategic 3 OK typein .75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:48:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x = -5 strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:50:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x = -5 strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:50:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 1 BUG typein 5x You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:50:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 2 OK typein -5x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:50:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 3 ERROR typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:50:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 4 BUG typein 2/x You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:50:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 5 ERROR typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:51:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 6 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:51:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/x*x = -5x strategic 7 OK typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:53:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = -5x strategic 1 BUG divide -5x Dividing anything by itself will leave 1. If you divide -5x by -5, x will be left. Erase your last step and then divide by -5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:53:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = -5x strategic 2 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:54:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/-5 = -5x/-5 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:54:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/-5 = -5x/-5 strategic 2 BUG typein 2 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session27 2006-01-27 08:54:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2/-5 = -5x/-5 strategic 3 OK typein 2/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:28:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:29:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 2 ERROR divide -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:29:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 3 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:29:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 4 ERROR divide -9x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:29:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 5 ERROR divide -9/x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:29:48.0 HINT HINT ES_02 ES_02-10 EG44 -9/x = 3 strategic 6 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:29:50.0 HINT HINT ES_02 ES_02-10 EG44 -9/x = 3 strategic 7 NEXT_HINT -9/x is -9 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 8 ERROR multiply -9/x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 9 BUG multiply 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 10 BUG multiply -9 To remove the coefficient of -9/x, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 11 ERROR divide -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 12 BUG multiply -9 To remove the coefficient of -9/x, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 13 BUG multiply -9 To remove the coefficient of -9/x, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:30:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 14 ERROR divide -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:31:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 15 ERROR divide -9x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:31:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 16 ERROR divide -9/x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:31:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 17 ERROR divide -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:32:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 18 ERROR rf -9/x = 3 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:36:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 3 strategic 19 ERROR divide -9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:36:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (-9/x)/-9 = 3/-9 strategic 1 OK typein 3/-9 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:37:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (-9/x)/-9 = 3/-9 strategic 2 OK typein 1/x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:38:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1/x = 3/-9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:38:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1/x*x = 3/-9*x strategic 1 OK typein 1x/x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:38:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1/x*x = 3/-9*x strategic 2 ERROR typein 3x/-9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:39:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1/x*x = 3/-9*x strategic 3 OK typein 3x/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:39:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x/x = 3x/-9 strategic 1 OK rf 1x/x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:39:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:40:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = 3x/-9 strategic 1 OK rf 3x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:41:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK x/-3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:41:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = x/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:42:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1*-3 = x/-3*-3 strategic 1 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:42:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1*-3 = x/-3*-3 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:42:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = 4/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:42:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4/x*x strategic 1 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:42:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4/x*x strategic 2 OK typein 4x/x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:43:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 1 ERROR divide x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:43:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 2 ERROR divide 4x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:43:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 3 ERROR multiply x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:43:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 4 ERROR multiply 4x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:43:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 5 ERROR divide x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:44:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 6 BUG divide 4 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:44:20.0 HINT HINT ES_02 ES_02-10 EG44 1x = 4x/x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:44:22.0 HINT HINT ES_02 ES_02-10 EG44 1x = 4x/x strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:44:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 9 OK rf 4x/x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:44:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG x/4 x/4
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:45:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 4x/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:45:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 10 OK rf 4x/x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:46:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 1x/x 1x/x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:46:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG x/1 x/1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:47:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:47:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG x/4 x/4
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:47:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 11 ERROR divide x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:49:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 12 OK rf 4x/x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG 4x 4x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:13.0 HINT HINT ES_02 ES_02-10 EG44 1x = 4x/x strategic 13 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:14.0 HINT HINT ES_02 ES_02-10 EG44 1x = 4x/x strategic 14 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:19.0 HINT HINT ES_02 ES_02-10 EG44 1x = 4x/x strategic 15 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 16 OK rf 4x/x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:50:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 BUG x x
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:52:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 4x/x strategic 17 OK divide 1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:52:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 1 OK typein x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:52:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 2 ERROR typein 1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:52:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 3 ERROR typein 1x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:52:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 4 ERROR typein x default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:53:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 5 ERROR typein x/1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:53:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 6 ERROR typein 1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:53:25.0 HINT HINT ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:53:30.0 HINT HINT ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 8 NEXT_HINT Type in (4x/x)/1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:53:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = 1x/1 strategic 9 OK typein 4x/x/1 default_condition hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session28 2006-02-01 08:54:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (4x/x)/1 = x strategic 1 ERROR multiply x default_condition [SkillRule: invert-mult; {ivm}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:18:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1 = 9/y strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:19:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1 = 9/y strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:20:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = 9/y*y strategic 1 OK typein -1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:20:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = 9/y*y strategic 2 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:20:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = 9/y*y strategic 3 OK typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:21:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = 9 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:22:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y/-1 = 9/-1 strategic 1 OK typein y default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 9eV0EGVC6j session29 2006-02-03 08:22:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y/-1 = 9/-1 strategic 2 OK typein 9/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 CaA0123UJL session12 2005-11-16 08:37:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking lessons default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:37:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:37:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 BUG X X
You entered X in the wrong row. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:37:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:37:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 2 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:37:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:38:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK X*25.50+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:38:47.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:38:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:39:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:40:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:40:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:40:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 OK Amount of carpet default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:41:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 OK total cost default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:41:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:41:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 OK square yards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:41:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:42:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK 13.95*X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:42:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:42:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 OK 30.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:43:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 OK 279.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:43:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 OK 558.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:43:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:44:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:44:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 1 OK money spent on long distance default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 1 OK total number of points default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:45:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:45:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:46:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 BUG X X
You entered X in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:46:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:46:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 1 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:47:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 2 OK X*5+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 2 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:51:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 3 OK 330.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:52:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:53:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C1 1 OK area of construstion default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:53:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 1 OK cost of consrtuction default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:53:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C1 1 OK square feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:53:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:53:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:54:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 1 OK X*46.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session12 2005-11-16 08:54:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C1 1 OK 1500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:26:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 1 OK 215 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C2 1 BUG 3500 3500
You entered 3,500.00 in the wrong column. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:27:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C1 1 OK 3500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:28:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C2 1 OK 97138.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:29:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C1 1 OK 2089 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:29:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK Time from now default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:29:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance jet has flown default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:29:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:29:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 ERROR minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:30:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 2 OK miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 OK .5 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:32:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:33:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 BUG X*1300-775 X*1300-775
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:33:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 2 ERROR X+1300-775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:37:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 3 OK 775+1300X default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:38:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 OK 1.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:39:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 3500/2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:39:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:40:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 OK 775+1300X=1750 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:41:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 775+1300X = 1750 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:41:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 975 strategic 1 BUG divide 975 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 975 strategic 2 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:42:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 OK 3/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:43:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 BUG 775+1300X=3500 775+1300X=3500
Please check to make sure that 775+1300X=3500 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:44:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 775+1300X = 3500 strategic 1 BUG add 775 Since 775 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 775 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:44:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 775+1300X = 3500 strategic 2 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:45:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 2725 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:45:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C X = 109/52 strategic 1 BUG clt X = 109/52 strategic You already solved the equation. X is 109/52. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:45:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 OK 109/52 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:45:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 OK Number of students enrolled in algebra last year default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:46:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 OK students recieving a or b default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:46:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 OK 175 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:46:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:47:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C2 1 OK 21 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:47:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:47:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C2 1 OK 48 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:48:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 OK 0.12*X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:48:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 BUG 75 75
You entered 75 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:48:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C2 1 OK 75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:50:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 2 ERROR 6.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:50:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C2 1 OK 12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:51:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 ERROR 73 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:53:16.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 2 INITIAL_HINT 73 12 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 12 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:53:31.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 3 NEXT_HINT You know that the expression 0.12X represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.12X output the given value of 12 students? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session13 2005-11-18 08:53:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 4 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.12X and since the number of students earning an A or B in Algebra in this question is 12, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:21:52.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 INITIAL_HINT 73 12 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 12 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 2 OK 100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:26:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 OK 625 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:27:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C1 1 OK Number of People default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:27:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C2 1 OK Cost of the cake default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:27:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:27:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:29:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 1 BUG 1.45*n 1.45*n
You have the right expression, but you need to use X as your variable. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:29:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 2 OK 1.45*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:29:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R5C1 1 OK 120 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:29:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C2 1 OK 29.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:29:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C2 1 OK 108.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:30:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:30:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C1 1 OK 75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:30:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 OK Gross pay default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:30:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 BUG Take Home Money Take Home Money
You're close. How about the take-home pay? BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:30:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 2 BUG the take home money the take home money
You're close. How about the take-home pay? BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:31:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 3 BUG the take-home money the take-home money
You're close. How about the take-home pay? BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:31:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 4 OK the take-home pay default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:31:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 ERROR percent default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 2 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:31:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:32:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:33:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 OK X*0.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:33:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:34:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 OK 40000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:34:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:34:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 OK 3250.00/0.65 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session14 2005-11-21 11:35:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 1673.75/0.65 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:20:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK number of snow cones default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK the profit default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 BUG X*-1.50-60 X*-1.50-60
Does the profit go up or down when the number of snow cones we sell increases? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 2 OK X*1.50-60 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:21:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:22:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:22:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:23:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 ERROR 320 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:23:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 2 ERROR 320.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:24:19.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 3 INITIAL_HINT 320.00 540 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 540 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:24:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 4 BUG 360 360
Subtract the initial value, -60, from the number of snow cones we sell first before you divide by 1.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:26:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 5 BUG 540.00-60/1.50 540.00-60/1.50
Use parentheses. Type (540 - -60)/ 1.5 as (540 - -60)/ 1.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:27:19.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R6C1 6 INITIAL_HINT 540.00-60/1.50 540 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 540 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:27:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 7 BUG 360 360
Subtract the initial value, -60, from the number of snow cones we sell first before you divide by 1.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:30:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 1 OK X*1.5-60=540 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:31:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 1 ERROR mt X*1.5-60 = 540 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 2 ERROR mt X*1.5-60 = 540 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:33:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 3 BUG divide 540 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:34:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 4 ERROR divide 1.5-60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:34:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 5 ERROR clt X*1.5-60 = 540 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:34:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 6 BUG multiply 1.5 To remove the coefficient of X*1.5, you need to divide. Erase your last step and then divide both sides by 1.5. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:34:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 540 strategic 7 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:35:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X-40 = 360 strategic 1 OK add 40 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:35:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 8 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:35:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 2 OK X*1.5-60=283.5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:35:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X*1.5-60 = 283.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:36:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C X-40 = 189 strategic 1 OK add 40 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:36:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:36:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 OK Length of the mobile phone call default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:36:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK cost for the call default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:36:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:37:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:37:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK X*.75+3.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:37:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:37:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:37:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:38:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:38:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:38:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:39:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK Cellular phone tim e default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:39:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK amount of next bill default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:39:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 BUG X X
You entered X in the wrong row. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:39:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 2 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:39:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:40:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:40:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 OK X*.21-5.26 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:41:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:43:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK X*0.21-5.26=15.74 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:43:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A X*0.21-5.26 = 15.74 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:43:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A X-25.04761905 = 74.95238095 strategic 1 OK add 25.0476 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:43:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:45:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK X*0.21-5.26=20 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:45:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A X*0.21-5.26 = 20 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:45:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A X-25.04761905 = 95.23809524 strategic 1 OK add 25.0476 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:45:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:46:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C1 1 OK Cost of items default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:46:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:46:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C2 1 BUG total cost of the items total cost of the items
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C2 2 OK cost of order default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:46:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:47:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:50:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 1 ERROR X*.20+20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:51:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R4C2 1 BUG 200 200
You entered 200.00 in the wrong column. BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R4C1 1 OK 200 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:52:07.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 2 INITIAL_HINT X*.20+20 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:52:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 3 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 20%."). The other is that you need to add the flat fee of $20 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:52:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 4 ERROR X+20-.20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session15 2005-11-30 08:52:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R5C1 1 OK 400.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:38:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 1 ERROR X/.20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:40:06.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 1 INITIAL_HINT X/.20 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:40:09.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 20%."). The other is that you need to add the flat fee of $20 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:41:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 3 ERROR X+20-.20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:41:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 4 ERROR X+20-20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:42:27.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 5 INITIAL_HINT X+20-20 There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 20%."). The other is that you need to add the flat fee of $20 . HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:42:30.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 6 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 20%. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:42:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 7 ERROR X-20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:43:12.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 8 INITIAL_HINT X-20 First, work on expressing the discounted part. The discount is the cost of the items minus 20%. HINT 3 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:43:14.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 9 NEXT_HINT Discounting each item in the order by 20%. means subtracting 0.2 times the cost of the items. So the discount is 0.2X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.2X. Don't forget the flat fee of $20 . HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:43:16.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 10 NEXT_HINT Write an expression that means the cost of the items minus 0.2 times the cost of the items plus the flat fee of $20 . HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:43:17.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 11 NEXT_HINT Enter X-0.2X+20 (you could also enter 0.8X + 20, which means the same thing). HINT 6 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:43:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 12 OK 0.8X+20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:43:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C2 1 OK 281.60 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:44:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C2 1 OK 100.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:45:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 1 OK 0.8X+20=281.6 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:45:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X+20 = 281.6 strategic 1 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:45:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A X+25 = 352 strategic 1 OK subtract 25 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C1 1 OK 327 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:46:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 2 OK 0.8X+20=100 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:46:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8X+20 = 100 strategic 1 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:46:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A X+25 = 125 strategic 1 OK subtract 25 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:46:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:47:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 1 OK number of hours default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:47:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 1 OK temperature of the liquid default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:47:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 1 BUG degrees DEGREES
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:47:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 2 OK degrees celsius default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:47:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 BUG 1.5X-33 1.5X-33
Does the temperature of the liquid go up or down when the number of hours from now increases? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:50:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 2 ERROR 1.5X+33 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:51:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 3 ERROR 1.5*X-(-33) default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:51:43.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 4 INITIAL_HINT 1.5*X-(-33) Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:51:48.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 5 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:52:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 6 BUG 33-(1.5*X) 33-(1.5*X)
Does the temperature of the liquid start at a positive number of degrees Celsius or a negative number of degrees Celsius? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:52:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 7 OK -33-(1.5*X) default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:52:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session16 2005-12-02 08:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C2 1 OK -33-(1.5*24) default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:18:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:19:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:19:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 OK -33-(1.5X)=0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:19:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-(1.5X) = 0 strategic 1 OK divide 1.5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:20:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 0.66666667(-33-1.5X) = 0 strategic 1 ERROR add -33 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:20:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 0.66666667(-33-1.5X) = 0 strategic 2 OK divide 0.6667 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:20:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = 0 strategic 1 BUG add -33 To remove -33 from the left side, you can add a positive to it. Erase your last step and add 33 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:20:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -66-1.5X = -33 strategic 1 BUG add -33 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:21:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -99-1.5X = -66 strategic 1 BUG add -99 To remove -99 from the left side, you can add a positive to it. Erase your last step and add 99 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:21:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -198-1.5X = -165 strategic 1 OK divide 1.5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:21:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -132-X = -110 strategic 1 BUG add -132 To remove -132 from the left side, you can add a positive to it. Erase your last step and add 132 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:23:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = 0 strategic 2 OK divide 1.5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:23:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -22-X = 0 strategic 1 BUG add -22 To remove -22 from the left side, you can add a positive to it. Erase your last step and add 22 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:24:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -22-X = 0 strategic 2 OK subtract -22 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:24:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 BUG 22 22
Use parentheses. Type (0 - -33)/ -1.5 as (0 - -33)/ -1.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:25:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 2 ERROR 0-(-33)--1.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:26:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 BUG 60 60
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:29:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 2 OK -60 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:30:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 1 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:31:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 3 BUG 22 22
Use parentheses. Type (0 - -33)/ -1.5 as (0 - -33)/ -1.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:31:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 4 OK 0-(-33)/-1.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:31:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK Digging time default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:32:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the mine default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:32:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:32:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:32:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 OK month default_condition Identifying units hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:32:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK X default_condition Define Variable hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:33:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:33:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 OK -120 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:33:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 BUG -24 -24
Think about the sign of your answer. BUG default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:33:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 2 OK 24 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:37:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 1 ERROR 1437 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:37:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 2 BUG 710 710
Think about the sign of your answer. BUG default_condition Find Y, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:38:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 3 OK -710 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR (X*7)+1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:40:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 ERROR (X*7)+1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:40:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 3 ERROR (X*7)+1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:40:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 4 ERROR (X*7)+1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 5 BUG (-X*7)+1550 (-X*7)+1550
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:41:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 6 ERROR 1550+7*X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:41:37.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 7 INITIAL_HINT 1550+7*X Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:41:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 8 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:42:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 9 BUG 1550-7*X 1550-7*X
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:42:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 10 OK -1550-7*X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:42:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:42:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:44:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR 1550 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7X=-1564 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:45:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 1 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:45:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 2 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:45:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:45:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:46:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 2 ERROR -1550 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:49:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 ERROR 220 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:49:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 2 ERROR 221 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:49:52.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 3 INITIAL_HINT -1550 Read the problem statement. What information is given in question 4 about the depth of the mine? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:50:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 4 NEXT_HINT Important information about the depth of the mine is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:50:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 5 NEXT_HINT Type the depth of the mine, measured in feet into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:50:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 6 ERROR 1550 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:52:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 7 ERROR -1550 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:52:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 8 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:52:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7X=0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:52:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 1 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:53:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 2 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:53:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 3 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:53:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 3 OK -1550-7X=0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:54:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 4 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 5 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:54:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 6 BUG add -1550 To remove -1550 from the left side, you can add a positive to it. Erase your last step and add 1550 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 7 BUG add -1550 To remove -1550 from the left side, you can add a positive to it. Erase your last step and add 1550 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:54:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 8 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = 1550 strategic 1 BUG subtract -7 In -7X, X is multiplied by -7. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session17 2005-12-07 08:55:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = 1550 strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:03:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7X=0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:03:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7x=0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:03:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 1 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:04:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 2 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:05:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 3 OK subtract -1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:05:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = 1550 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:05:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X = -1550/7 strategic 1 BUG multiply 7 You already solved the equation. X is -1550/7. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:06:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 X = -1550/7 strategic 2 BUG rf X = -1550/7 strategic You already solved the equation. X is -1550/7. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:06:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 OK -1550/7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:07:39.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:08:28.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 1 BUG divide 2 To remove the coefficient of [2y-3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:08:38.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED ((2y-3)/2)/2 = (5/2)/2 strategic 1 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:08:46.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 2 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:09:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 1 ERROR subtract 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:09:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 2 ERROR divide 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:09:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 3 ERROR multiply 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:09:51.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 4 ERROR clt (2y-3)/2*2 = 5/2*2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:09:57.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 5 ERROR rf (2y-3)/2*2 = 5/2*2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:10:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 6 OK mt 5/2*2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:10:24.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 10/2 strategic 1 OK mt (2y-3)/2*2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:10:53.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 1 ERROR clt 2y-3 = 10/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:11:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 2 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:11:19.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = (10/2)/2 strategic 1 ERROR mt (2y-3)/2 = (10/2)/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:11:35.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = (10/2)/2 strategic 2 BUG divide 2 To remove the coefficient of [2y-3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:11:43.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED ((2y-3)/2)/2 = ((10/2)/2)/2 strategic 1 ERROR divide 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:11:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = (10/2)/2 strategic 3 BUG divide 2 To remove the coefficient of [2y-3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:12:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED ((2y-3)/2)/2 = ((10/2)/2)/2 strategic 2 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:12:12.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = (10/2)/2 strategic 4 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:12:41.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = (10/2)/2*2 strategic 1 OK mt (2y-3)/2*2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:12:51.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = (10/2)/2*2 strategic 1 OK mt (10/2)/2*2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:14:01.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = (10/2)/2 strategic 5 OK rf 10/2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:14:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 3 ERROR rf (2y-3)/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:14:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 4 ERROR mt (2y-3)/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:16:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG subtract 3 Since -3 is negative, you should add to remove it from the left side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:16:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:16:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:17:24.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:17:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:17:54.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 8/2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:18:00.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:18:20.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-1-1)*-1 strategic 1 BUG add 1 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:18:30.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-1-1)*-1 strategic 2 OK clt -1-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:18:41.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -2*-1 strategic 1 OK mt -2*-1 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:01.0 CYCLE CYCLE ES_02 ES_02-1 EG31 5(-8-8) strategic 1 OK clt -8-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:05.0 CYCLE CYCLE ES_02 ES_02-1 EG31 5*-16 strategic 1 OK mt 5*-16 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:12.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4-8*7 strategic 1 OK mt 8*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:15.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4-56 strategic 1 OK clt 4-56 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:29.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8+3*-3 strategic 1 ERROR clt -8+3*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:35.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8+3*-3 strategic 2 OK mt 3*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:38.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8+(-9) strategic 1 OK clt -8+(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:44.0 CYCLE CYCLE ES_02 ES_02-1 EG28 3-8*-2 strategic 1 OK mt 8*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:19:57.0 CYCLE CYCLE ES_02 ES_02-1 EG28 3-(-16) strategic 1 ERROR mt 3-(-16) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:02.0 CYCLE CYCLE ES_02 ES_02-1 EG28 3-(-16) strategic 2 OK clt 3-(-16) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:10.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -5*-6-4 strategic 1 OK mt -5*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:13.0 CYCLE CYCLE ES_02 ES_02-1 EG29 30-4 strategic 1 OK clt 30-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:21.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2(3-3) strategic 1 OK clt 3-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:25.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2*0 strategic 1 OK mt -2*0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(3-4) strategic 1 OK clt 3-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:20:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:21:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -5*-1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session18 2005-12-09 10:21:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-1 strategic 1 OK mt -5*-1 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:45:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-6+2) strategic 1 OK clt -6+2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -2+-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-6+2) strategic 2 OK clt -6+2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -2+-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -2*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -2*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -2*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -2*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:46:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -2*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:47:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK -2*-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:47:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2*-4 strategic 1 ERROR clt -2*-4 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2*-4 strategic 2 OK mt -2*-4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -6 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 ERROR -6 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 ERROR -6 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 ERROR -6 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 ERROR -6 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 14 ERROR -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:48:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 15 ERROR -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:49:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 16 ERROR -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:49:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 17 ERROR -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:49:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 18 ERROR -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:49:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 19 ERROR -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:50:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 20 OK 8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:50:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-8)*-1 strategic 1 OK clt -2-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -10*-1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -10*-1 strategic 1 OK mt -10*-1 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 10 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+4*-3 strategic 1 ERROR clt -10+4*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:40.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+4*-3 strategic 2 ERROR clt -10+4*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:47.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+4*-3 strategic 3 ERROR rds -10+4*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:51:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+4*-3 strategic 4 OK mt 4*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -10+-12 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-12 strategic 1 OK clt -10-12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -22 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-8*6 strategic 1 OK mt 8*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -2-48 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-48 strategic 1 OK clt -2-48 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:52:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -50 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:53:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4+8)*-9 strategic 1 ERROR mt (4+8)*-9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:53:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4+8)*-9 strategic 2 OK clt 4+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:53:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 12*-9 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:53:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 12*-9 strategic 1 OK mt 12*-9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:53:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -108 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:53:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3*-6-6 strategic 1 OK mt -3*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 18-6 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 18-6 strategic 1 OK clt 18-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 12 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(-8+10) strategic 1 OK clt -8+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -4*2 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4*2 strategic 1 OK mt -4*2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:54:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:55:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-4*-8 strategic 1 OK mt 4*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:55:22.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -4-32 -4-32
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:55:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -4--32 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session19 2005-12-14 08:55:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4+32 strategic 1 OK clt -4+32 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:19:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*-9 strategic 1 OK mt 7*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:19:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -7--63 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:20:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7+63 strategic 1 OK clt -7+63 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:20:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -70 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:20:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 70 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:20:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 56 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:21:21.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -25(-35-5) = x strategic 1 OK clt -35-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:21:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -25*-40 = x strategic 1 OK mt -25*-40 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:21:52.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = (-2+0)*-9 strategic 1 OK clt -2+0 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:21:56.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = -2*-9 strategic 1 OK mt -2*-9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:12.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = 46*-11-5 strategic 1 OK mt 46*-11 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:15.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = -506-5 strategic 1 OK clt -506-5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:26.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -49+8*44 = x strategic 1 ERROR clt -49+8*44 = x strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:35.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -49+8*44 = x strategic 2 OK mt 8*44 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:38.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -49+352 = x strategic 1 OK clt -49+352 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:51.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = -8*-8+4 strategic 1 OK mt -8*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:22:55.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = 64+4 strategic 1 OK clt 64+4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:04.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -26-14*-5 = y strategic 1 OK mt 14*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:07.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -26-(-70) = y strategic 1 OK clt -26-(-70) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:17.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = (33-2)*-8 strategic 1 OK clt 33-2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:21.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = 31*-8 strategic 1 OK mt 31*-8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (1-6)*1 strategic 1 OK clt 1-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -5*1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:23:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -5*1 strategic 1 OK mt -5*1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:24:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -5 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:24:11.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -15(20-46) = x strategic 1 OK clt 20-46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:24:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -15*-26 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:24:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -15*-26 = x strategic 1 OK mt -15*-26 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:24:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -15*-26 = x strategic 2 OK mt -15*-26 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:25:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 ERROR -390 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:25:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 3 OK 390 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:25:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-39+47)*-11 = x strategic 1 OK clt -39+47 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:25:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK 8*-11 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:25:55.0 CYCLE CYCLE ES_02 ES_02-4 EG34A 8*-11 = x strategic 1 OK mt 8*-11 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:26:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -88 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:26:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 1 ERROR clt 10+4x = 9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:26:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 2 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:26:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 1 ERROR clt (10+4x)/4 = 9/4 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:26:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 2 ERROR mt (10+4x)/4 = 9/4 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:27:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 3 OK multiply 4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:27:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4*4 = 9/4*4 strategic 1 ERROR divide 4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:27:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4*4 = 9/4*4 strategic 2 ERROR add 10+4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 3 ERROR clt 10+4x = 9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 4 ERROR mt 10+4x = 9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 5 ERROR subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 6 BUG add 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 7 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 4 ERROR clt (10+4x)/4 = 9/4 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 5 BUG divide 4 To remove the coefficient of [10+4x]/4, you need to divide by 1/4 or multiply by 4. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:28:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 6 BUG divide 4 To remove the coefficient of [10+4x]/4, you need to divide by 1/4 or multiply by 4. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:29:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 7 ERROR subtract 4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:29:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (10+4x)/4 = 9/4 strategic 8 ERROR add 10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:30:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x = 9 strategic 8 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:30:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x-10 = 9-10 strategic 1 OK clt 9-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:30:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x-10 = -1 strategic 1 OK clt 10+4x-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:30:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 1 BUG subtract -1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:30:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10+4x-10 = -1 strategic 2 OK clt 10+4x-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:30:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 2 BUG subtract 4 In 4x, x is multiplied by 4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:31:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 3 ERROR clt 4x = -1 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:34:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 4 BUG subtract 4 In 4x, x is multiplied by 4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:34:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 5 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:37:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 6 BUG divide -1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:37:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -1 strategic 7 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:37:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -1/4 strategic 1 OK rf 4x/4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:38:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -9y+7 strategic 1 BUG subtract -6 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:38:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -9y+7 strategic 2 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:38:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-7 = -9y+7-7 strategic 1 OK clt -6-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:39:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13 = -9y+7-7 strategic 1 OK clt -9y+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:39:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13 = -9y strategic 1 BUG divide -13 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:39:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13 = -9y strategic 2 BUG subtract -9 In -9y, y is multiplied by -9. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:40:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13 = -9y strategic 3 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:40:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13/-9 = -9y/-9 strategic 1 OK rf -13/-9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:40:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13/-9 = -9y/-9 strategic 2 OK rf -9y/-9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:40:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y = 3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:40:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = 3-8 strategic 1 OK clt 3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:41:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 1 BUG divide 8 You want to isolate -10y by removing 8 from the left side. 8 is added to -10y. What is the opposite of addition? BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:41:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 2 ERROR subtract 8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:41:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 3 BUG subtract -8 To remove 8 from the left side, you can subtract a positive from it. Erase your last step and subtract 8 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:41:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 4 ERROR subtract 8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:42:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 5 BUG subtract -8 To remove 8 from the left side, you can subtract a positive from it. Erase your last step and subtract 8 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:42:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 6 BUG subtract -8 To remove 8 from the left side, you can subtract a positive from it. Erase your last step and subtract 8 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:43:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 7 ERROR subtract 8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:43:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-10y-8 = -5 strategic 8 OK clt 8-10y-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:44:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y = -5 strategic 1 BUG subtract -10 In -10y, y is multiplied by -10. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:44:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y = -5 strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:44:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y/-10 = -5/-10 strategic 1 OK rf -5/-10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:44:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -10y/-10 = 1/2 strategic 1 OK rf -10y/-10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:44:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x+6 = 7 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:45:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x+6-6 = 7-6 strategic 1 OK clt 7-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:45:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x+6-6 = 1 strategic 1 OK clt 3x+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:45:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = 1 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:45:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x/3 = 1/3 strategic 1 OK rf 3x/3 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:45:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -7+8y strategic 1 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:45:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-(-7) = -7+8y-(-7) strategic 1 OK clt 6-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -7+8y-(-7) strategic 1 BUG divide 13 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -7+8y-(-7) strategic 2 OK clt -7+8y-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 8y strategic 1 BUG divide 13 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 8y strategic 2 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/8 = 8y/8 strategic 1 OK rf 8y/8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7+10x = -7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7+10x-7 = -7-7 strategic 1 OK clt -7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:46:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7+10x-7 = -14 strategic 1 OK clt 7+10x-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:47:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10x = -14 strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:47:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10x/10 = -14/10 strategic 1 OK rf -14/10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:47:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10x/10 = -7/5 strategic 1 OK rf 10x/10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:47:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-4y = -2 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:47:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-4y-9 = -2-9 strategic 1 OK clt -2-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:47:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-4y-9 = -11 strategic 1 OK clt 9-4y-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:48:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y = -11 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:48:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y/-4 = -11/-4 strategic 1 OK rf -11/-4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:48:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y/-4 = 11/4 strategic 1 OK rf -4y/-4 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:48:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+2 = -10 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:52:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+2-2 = -10-2 strategic 1 OK typein 7x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:52:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+2-2 = -10-2 strategic 2 BUG typein 8 8 is equal to 10 minus 2. You need to calculate -10 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:52:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+2-2 = -10-2 strategic 3 BUG typein -8 -8 is equal to -10 plus 2. You need to calculate -10 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:53:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x+2-2 = -10-2 strategic 4 OK typein -12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:53:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x = -12 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:53:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -12/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:53:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -12/7 strategic 2 ERROR typein -5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session20 2005-12-16 08:55:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7x/7 = -12/7 strategic 3 ERROR typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:19:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = -4x+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:19:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 1 BUG typein -1 You need to calculate 9 minus 8, not 8 minus 9. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:20:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:20:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 3 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:20:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 4 ERROR typein -0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:20:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 5 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:20:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 6 ERROR typein 16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:22:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 7 BUG typein 4x You need to calculate -4x+8 minus 8, not 8 minus -4x+8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:22:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 8 BUG typein -4x+8 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:24:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 9 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:26:11.0 HINT HINT ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 10 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:26:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 11 ERROR typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:26:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 12 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:27:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 13 BUG typein 4x You need to calculate -4x+8 minus 8, not 8 minus -4x+8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:27:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8 = -4x+8-8 strategic 14 OK typein -4x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:29:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -4x strategic 1 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:29:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -4x strategic 2 BUG subtract -4 In -4x, x is multiplied by -4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:30:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -4x strategic 3 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:30:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 1 ERROR typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:30:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 2 BUG typein -4 -4 is equal to 1 times -4. You need to calculate 1 divided by -4. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:31:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 3 ERROR typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:31:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 4 ERROR typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:31:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 5 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:33:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 6 BUG typein -4 -4 is equal to 1 times -4. You need to calculate 1 divided by -4. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:33:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 7 ERROR typein 25 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:33:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 8 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:33:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 9 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:33:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 10 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:34:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 11 BUG typein 1 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:34:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 12 ERROR typein -31 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:34:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 13 ERROR typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:36:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 14 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:36:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 15 BUG typein -4 -4 is equal to 1 times -4. You need to calculate 1 divided by -4. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:36:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 16 ERROR typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:36:52.0 HINT HINT ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 17 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:36:55.0 HINT HINT ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 18 NEXT_HINT Type in 1/-4 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:37:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4x/-4 strategic 19 OK typein 1/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:37:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 9y+3 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:37:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-3 = 9y+3-3 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:37:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-3 = 9y+3-3 strategic 2 OK typein 9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 9y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/9 = 9y/9 strategic 1 OK typein 3/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/9 = 9y/9 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10 = -6x+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-6 = -6x+6-6 strategic 1 ERROR typein -10/-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-6 = -6x+6-6 strategic 2 BUG typein 4 4 is equal to 10 minus 6. You need to calculate -10 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:38:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-6 = -6x+6-6 strategic 3 BUG typein -4 -4 is equal to -10 plus 6. You need to calculate -10 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-6 = -6x+6-6 strategic 4 OK typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10-6 = -6x+6-6 strategic 5 OK typein -6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16 = -6x strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/-6 = -6x/-6 strategic 1 OK typein -16/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -16/-6 = -6x/-6 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 6+9x strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:39:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6 = 6+9x-6 strategic 1 BUG typein 15 You need to calculate -9 minus 6, not 6 minus -9. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6 = 6+9x-6 strategic 2 BUG typein -3 -3 is equal to -9 plus 6. You need to calculate -9 minus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6 = 6+9x-6 strategic 3 OK typein -15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6 = 6+9x-6 strategic 4 OK typein 9x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/9 = 9x/9 strategic 1 ERROR typein -15-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/9 = 9x/9 strategic 2 OK typein -15/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:40:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/9 = 9x/9 strategic 3 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:41:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y = 0 strategic 1 BUG subtract 0 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:41:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y = 0 strategic 2 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:41:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y-(-3) = 0-(-3) strategic 1 BUG typein 0 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:41:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y-(-3) = 0-(-3) strategic 2 ERROR typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:41:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y-(-3) = 0-(-3) strategic 3 BUG typein 0 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:42:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y-(-3) = 0-(-3) strategic 4 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:42:34.0 HINT HINT ES_02 ES_02-6 EG40 -3-4y-(-3) = 0-(-3) strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:42:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-4y-(-3) = 0-(-3) strategic 6 OK typein -4y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:43:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y = 3 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:43:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y/-4 = 3/-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:43:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y/-4 = 3/-4 strategic 2 OK typein 3/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:43:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+6 = -2 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+6-6 = -2-6 strategic 1 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+6-6 = -2-6 strategic 2 OK typein 6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x = -8 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -8/6 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -8/6 strategic 2 OK typein -8/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 9x-8 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-(-8) = 9x-8-(-8) strategic 1 OK typein 9x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:44:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-(-8) = 9x-8-(-8) strategic 2 BUG typein -9 -9 is equal to -1 plus -8. You need to calculate -1 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:45:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-(-8) = 9x-8-(-8) strategic 3 BUG typein 9 9 is equal to 1 minus -8. You need to calculate -1 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:45:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-(-8) = 9x-8-(-8) strategic 4 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:45:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:45:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/9 = 9x/9 strategic 1 OK typein 7/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:45:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/9 = 9x/9 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:46:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = -8-4y strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:46:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-8) = -8-4y-(-8) strategic 1 OK typein -4y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:46:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-8) = -8-4y-(-8) strategic 2 BUG typein -2 -2 is equal to 6 plus -8. You need to calculate 6 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:47:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-8) = -8-4y-(-8) strategic 3 BUG typein 2 2 is equal to -6 minus -8. You need to calculate 6 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:47:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-8) = -8-4y-(-8) strategic 4 BUG typein -2 -2 is equal to 6 plus -8. You need to calculate 6 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:49:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-8) = -8-4y-(-8) strategic 5 OK typein 14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:49:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:49:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-4 = -4y/-4 strategic 1 ERROR typein 14-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:50:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-4 = -4y/-4 strategic 2 BUG typein 14/4 You are dividing a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:50:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-4 = -4y/-4 strategic 3 OK typein -14/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:50:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-4 = -4y/-4 strategic 4 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:50:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = -5+(y/-3) strategic 1 BUG divide -3 To remove the coefficient of y/-3, you need to divide by 1/-3 or multiply by -3. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:50:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = -5+(y/-3) strategic 2 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:51:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-3 = (-5+(y/-3))*-3 strategic 1 ERROR clt -4*-3 = (-5+(y/-3))*-3 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:52:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-3 = (-5+(y/-3))*-3 strategic 2 OK mt -4*-3 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:52:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = (-5+(y/-3))*-3 strategic 1 ERROR clt 12 = (-5+(y/-3))*-3 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:52:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = (-5+(y/-3))*-3 strategic 2 ERROR mt 12 = (-5+(y/-3))*-3 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:52:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = (-5+(y/-3))*-3 strategic 3 ERROR rds 12 = (-5+(y/-3))*-3 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:52:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = (-5+(y/-3))*-3 strategic 4 OK rf y/-3 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:53:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = 6+x/4 strategic 1 ERROR multiply -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:54:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = 6+x/4 strategic 2 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:54:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6-6 = 6+x/4-6 strategic 1 OK clt 6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:54:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = 6+x/4-6 strategic 1 BUG subtract -6 To remove 6 from the right side, you can subtract a positive from it. Erase your last step and subtract 6 from both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session21 2005-12-21 08:54:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = 6+x/4-6 strategic 2 ERROR subtract 6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:17:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/8 = -4 strategic 1 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:17:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/8 = -4 strategic 2 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:18:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+y/8)*8 = -4*8 strategic 1 OK mt -4*8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:18:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+y/8)*8 = -32 strategic 1 ERROR rf (2+y/8)*8 = -32 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:19:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+y/8)*8 = -32 strategic 2 OK divide 8 default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:19:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+y/8)*8/8 = -32/8 strategic 1 ERROR mt (2+y/8)*8/8 = -32/8 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:19:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+y/8)*8/8 = -32/8 strategic 2 OK rf -32/8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:19:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (2+y/8)*8/8 = -4 strategic 1 OK rf (2+y/8)*8/8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/8 = -4 strategic 3 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/8-2 = -4-2 strategic 1 ERROR rf 2+y/8-2 = -4-2 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/8-2 = -4-2 strategic 2 OK clt 2+y/8-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8 = -4-2 strategic 1 OK clt -4-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8 = -6 strategic 1 ERROR subtract 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8 = -6 strategic 2 BUG subtract -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:20:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8 = -6 strategic 3 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:21:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/8*8 = -6*8 strategic 1 OK mt y/8*8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:21:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -6*8 strategic 1 OK mt -6*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:21:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+y/9 = 6 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:21:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-10+y/9)*9 = 6*9 strategic 1 ERROR clt (-10+y/9)*9 = 6*9 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:21:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 (-10+y/9)*9 = 6*9 strategic 2 OK mt 6*9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+y/9 = 6 strategic 2 ERROR divide -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+y/9 = 6 strategic 3 BUG divide 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+y/9 = 6 strategic 4 OK subtract -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10+y/9-(-10) = 6-(-10) strategic 1 OK clt -10+y/9-(-10) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 6-(-10) strategic 1 OK clt 6-(-10) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 16 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:22:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 16*9 strategic 1 OK mt 16*9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:23:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 16 strategic 2 ERROR subtract 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:23:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 16 strategic 3 BUG subtract 16 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:23:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 16 strategic 4 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:23:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 16*9 strategic 2 ERROR clt y/9*9 = 16*9 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:23:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 16*9 strategic 3 OK mt 16*9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:23:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 144 strategic 1 OK mt y/9*9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9+9 = 5 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9+9-9 = 5-9 strategic 1 OK clt x/-9+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 5-9 strategic 1 OK clt 5-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = -4 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = -4*-9 strategic 1 ERROR clt x/-9*-9 = -4*-9 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = -4*-9 strategic 2 OK mt x/-9*-9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -4*-9 strategic 1 OK mt -4*-9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:24:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+x/7 = -6 strategic 1 OK subtract -1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+x/7-(-1) = -6-(-1) strategic 1 OK clt -1+x/7-(-1) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = -6-(-1) strategic 1 OK clt -6-(-1) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = -5 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7*7 = -5*7 strategic 1 ERROR clt x/7*7 = -5*7 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7*7 = -5*7 strategic 2 OK mt x/7*7 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -5*7 strategic 1 OK mt -5*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = 2+(x/-2) strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-2 = 2+(x/-2)-2 strategic 1 ERROR mt 4-2 = 2+(x/-2)-2 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:25:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-2 = 2+(x/-2)-2 strategic 2 OK clt 2+(x/-2)-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-2 = 2+(x/-2)-2 strategic 3 ERROR mt 4-2 = 2+(x/-2)-2 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-2 = 2+(x/-2)-2 strategic 4 OK clt 4-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = 2+(x/-2)-2 strategic 1 OK clt 2+(x/-2)-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*-2 = x/-2*-2 strategic 1 ERROR clt 2*-2 = x/-2*-2 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*-2 = x/-2*-2 strategic 2 OK mt x/-2*-2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:26:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*-2 = x strategic 1 OK mt 2*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:27:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4 = -9 strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:28:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 1 ERROR typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:28:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 2 ERROR typein 0-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:28:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 3 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:28:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 4 ERROR typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:28:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 5 ERROR typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:29:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 6 ERROR typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:31:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 7 ERROR typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:31:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 8 ERROR typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 9 ERROR typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 10 ERROR typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 11 ERROR typein 04 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 12 ERROR typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 13 ERROR typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 14 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:32:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 15 OK typein x/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 16 BUG typein -9 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+x/4-(-4) = -9-(-4) strategic 17 OK typein -9-(-4) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = -9+4 strategic 1 OK clt -9+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR -13 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR 13 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = -5 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:33:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -5*4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -5*4 strategic 2 OK typein -20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:34:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5) = -2 strategic 1 OK subtract -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:34:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 1 ERROR typein 10/y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:34:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 2 ERROR typein Y/10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:34:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 3 BUG typein -2-(10) -2-(10) is equal to -2 plus -10. You need to calculate -2 minus -10. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:35:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 4 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:35:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 5 ERROR typein Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:35:31.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:35:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 7 ERROR typein 10y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:35:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 8 ERROR typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 9 ERROR typein -10y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:05.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 10 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 11 ERROR typein -10-(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 12 ERROR typein -10-(-10)Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 13 ERROR typein 20y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 14 ERROR typein 0y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:36:58.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 15 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:37:03.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 16 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:37:03.0 HINT HINT ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 17 NEXT_HINT Type in -10+(y/-5)-(-10) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:37:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 18 BUG typein -10+(y/5)-(-10) You need to calculate -10+[y/-5] minus -10, not -10 minus -10+[y/-5]. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:38:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(y/-5)-(-10) = -2-(-10) strategic 19 OK typein -10+(y/-5)-(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:38:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 1 ERROR subtract -10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:39:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 2 OK clt -10-y/5+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:39:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 3 ERROR mt -10-y/5+10 = 8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:39:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 4 ERROR multiply 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:39:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 5 BUG add -10 To remove -10 from the left side, you can add a positive to it. Erase your last step and add 10 to both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:39:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 6 ERROR add 10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:40:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 7 ERROR subtract -10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:40:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 8 BUG subtract 10 Since -10 is negative, you should add to remove it from the left side. Erase your last step and add 10 to both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:40:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 9 ERROR add 10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:41:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 10 BUG subtract 10 Since -10 is negative, you should add to remove it from the left side. Erase your last step and add 10 to both sides. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:41:10.0 HINT HINT ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 11 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:41:14.0 HINT HINT ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 12 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:41:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-y/5+10 = 8 strategic 13 OK clt -10-y/5+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:41:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:41:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:42:37.0 HINT HINT ES_02 ES_02-8 EG41 YR2 strategic 1 INITIAL_HINT In the group above, you have [-y/5]. Type [-y/5] here. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:42:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 2 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:43:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:43:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -10 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:43:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:43:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/5+0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:43:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 1 ERROR multiply 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:43:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 2 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 3 ERROR multiply 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 4 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 5 OK clt -y/5+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 3 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK +0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 3 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:44:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -y/5+0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:45:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 6 ERROR mt -y/5+0 = 8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:45:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 7 ERROR rf -y/5+0 = 8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:45:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 8 ERROR rds -y/5+0 = 8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:45:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 9 ERROR ivm -y/5+0 = 8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:45:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 10 ERROR divide 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:45:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 11 ERROR subtract 0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:01.0 HINT HINT ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 12 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:03.0 HINT HINT ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 13 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5+0 = 8 strategic 14 OK clt -y/5+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 4 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 4 OK -y/5 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 OK +0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 3 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:46:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -y/5-0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:47:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5-0 = 8 strategic 1 ERROR multiply 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:47:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/5-0 = 8 strategic 2 ERROR divide 5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:47:22.0 HINT HINT ES_02 ES_02-8 EG41 -y/5-0 = 8 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:47:24.0 HINT HINT ES_02 ES_02-8 EG41 -y/5-0 = 8 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:48:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = x/-8-5 strategic 1 ERROR divide -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:48:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = x/-8-5 strategic 2 BUG add -5 To remove -5 from the right side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:49:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = x/-8-5 strategic 3 ERROR multiply -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:49:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = x/-8-5 strategic 4 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:50:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+5 = x/-8-5+5 strategic 1 ERROR typein -3+5-x/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:50:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 1 OK typein x/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:50:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 2 ERROR typein x/-8-5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:50:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 3 ERROR typein 5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:50:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 4 ERROR typein -5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:51:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 5 ERROR typein -5+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:51:41.0 HINT HINT ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:51:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 7 ERROR typein +5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:52:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8-5+5 = -3+5 strategic 8 OK typein -3+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:53:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8 = -3+5 strategic 1 OK clt -3+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:53:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:53:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR 8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:53:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 2 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:53:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8 = 2 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:53:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8*-8 = 2*-8 strategic 1 ERROR typein 64 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:54:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8*-8 = 2*-8 strategic 2 BUG typein x/64 x/64 is equal to x/-8 divided by -8. You need to calculate x/-8 times -8. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:54:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8*-8 = 2*-8 strategic 3 OK typein x/8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:54:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-8*-8 = 2*-8 strategic 4 OK typein -16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:54:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8*8 = -16 strategic 1 OK mt x/8*8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:55:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 8*8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:55:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR 64 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session22 2006-01-04 08:55:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 OK x*8 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:28:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3 = -2 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:29:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 1 ERROR typein -16x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:29:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 2 ERROR typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:29:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 3 ERROR typein 16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:29:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 4 ERROR typein 16x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:30:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 5 ERROR typein -16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:31:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 6 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:31:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 7 OK typein x/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:31:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 8 BUG typein -10 -10 is equal to -2 plus -8. You need to calculate -2 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:32:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 9 BUG typein -6 You need to calculate -2 minus -8, not -8 minus -2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:33:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 10 BUG typein -10 -10 is equal to -2 plus -8. You need to calculate -2 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:34:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 11 ERROR typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:34:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3-(-8) = -2-(-8) strategic 12 BUG typein 10 10 is equal to 2 minus -8. You need to calculate -2 minus -8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:35:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3 = -2 strategic 2 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:35:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3+8 = -2+8 strategic 1 ERROR typein 16 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:35:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3+8 = -2+8 strategic 2 ERROR typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:35:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3+8 = -2+8 strategic 3 OK typein x/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:35:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+x/3+8 = -2+8 strategic 4 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:36:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3 = 6 strategic 1 BUG subtract 6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:36:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3 = 6 strategic 2 ERROR subtract 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:36:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3 = 6 strategic 3 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:36:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 1 ERROR typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:36:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 2 BUG typein x/9 x/9 is equal to x/3 divided by 3. You need to calculate x/3 times 3. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:37:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 3 ERROR typein x*9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:37:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 4 ERROR typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:37:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 5 ERROR typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:37:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 6 OK typein 18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:37:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3*3 = 6*3 strategic 7 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:38:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = -1+x/5 strategic 1 BUG add -1 To remove -1 from the right side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:38:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = -1+x/5 strategic 2 BUG add -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:38:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = -1+x/5 strategic 3 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:38:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+1 = -1+x/5+1 strategic 1 OK typein x/5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:38:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+1 = -1+x/5+1 strategic 2 ERROR typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:38:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+1 = -1+x/5+1 strategic 3 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:39:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/5 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:39:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*5 = x/5*5 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:39:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*5 = x/5*5 strategic 2 OK typein -5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:39:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = y/7+5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:40:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-5 = y/7+5-5 strategic 1 ERROR typein x/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:40:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-5 = y/7+5-5 strategic 2 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:40:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-5 = y/7+5-5 strategic 3 OK typein y/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:40:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-5 = y/7+5-5 strategic 4 BUG typein -5 -5 is equal to -10 plus 5. You need to calculate -10 minus 5. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:40:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-5 = y/7+5-5 strategic 5 OK typein -15 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:41:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -15 = y/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:41:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -15*7 = y/7*7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:41:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -15*7 = y/7*7 strategic 2 OK typein -105 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:41:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = x/7-3 strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = x/7-3 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+3 = x/7-3+3 strategic 1 OK typein x/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+3 = x/7-3+3 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = x/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*7 = x/7*7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*7 = x/7*7 strategic 2 OK typein 42 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -6+y/6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+6 = -6+y/6+6 strategic 1 OK typein y/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6+6 = -6+y/6+6 strategic 2 OK typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12 = y/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:42:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*6 = y/6*6 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:43:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*6 = y/6*6 strategic 2 OK typein 72 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:43:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 1 ERROR divide -3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:44:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 2 BUG multiply -3 To remove the coefficient of -3/y, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:45:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 3 ERROR divide -3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:45:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 4 ERROR add 3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:45:27.0 HINT HINT ES_02 ES_02-9 EG44 9 = -3/y strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:45:37.0 HINT HINT ES_02 ES_02-9 EG44 9 = -3/y strategic 6 NEXT_HINT -3/y is -3 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:45:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 7 ERROR multiply 3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:45:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 8 BUG multiply -3 To remove the coefficient of -3/y, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:46:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 9 ERROR divide -3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:46:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 10 ERROR add 3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:47:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -3/y strategic 11 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:48:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = -3/y*y strategic 1 OK mt -3/y*y default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:48:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = -3 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:48:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y/9 = -3/9 strategic 1 ERROR clt 9y/9 = -3/9 strategic default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:48:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y/9 = -3/9 strategic 2 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:48:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -2/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:48:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y = -2/y*y strategic 1 OK mt -2/y*y default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y = -2 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7y/-7 = -2/-7 strategic 1 OK rf -7y/-7 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/x = -2 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/x*x = -2x strategic 1 OK mt 5/x*x default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -2x strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-2 = -2x/-2 strategic 1 OK rf -2x/-2 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:49:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = 5/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y = 5/y*y strategic 1 OK mt 5/y*y default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y = 5 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1y/-1 = 5/-1 strategic 1 OK rf -1y/-1 default_condition hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = 8/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 1 OK typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8/x*x strategic 2 OK typein 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:50:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8 strategic 1 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:51:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = 8 strategic 2 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:51:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:51:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 2 BUG typein 8 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:52:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = 8/9 strategic 3 OK typein 8/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:52:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y = -6 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:52:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = -6y strategic 1 OK typein 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:52:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/y*y = -6y strategic 2 OK typein -6*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:52:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = -6y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:52:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 1 OK typein 7/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-6 = -6y/-6 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = 9/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = 9/y*y strategic 1 ERROR typein -10-10*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = 9/y*y strategic 2 OK typein -10*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = 9/y*y strategic 3 OK typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = 9 strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:53:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y/-10 = 9/-10 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y/-10 = 9/-10 strategic 2 OK typein 9/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y = -2 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = -2y strategic 1 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = -2y strategic 2 OK typein -2*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/-2 = -2y/-2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/-2 = -2y/-2 strategic 2 OK typein 6/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:54:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x = 10 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:55:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = 10x strategic 1 OK typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:55:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/x*x = 10x strategic 2 OK typein 10*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:55:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 10x strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:55:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/10 = 10x/10 strategic 1 OK typein 5/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session23 2006-01-06 08:55:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/10 = 10x/10 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:18:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 1 ERROR add 7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:18:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 2 ERROR subtract y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:18:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 3 ERROR add y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:18:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 4 ERROR add y/-7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:18:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 5 ERROR rf -10 = -7/y strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:19:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 6 BUG multiply -7 To remove the coefficient of -7/y, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:19:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 7 ERROR divide -7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:20:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -7/y strategic 8 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:20:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 1 ERROR typein 0*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:20:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 2 ERROR typein -20*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:20:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 3 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:20:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 4 ERROR typein -20*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:21:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 5 OK typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:21:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 6 ERROR typein y-20y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:21:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 7 ERROR typein y-20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:22:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 8 ERROR typein -20y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:23:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 9 ERROR typein -10-10y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:24:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 10 ERROR typein -20y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:26:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7/y*y strategic 11 OK typein -10y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:26:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7 strategic 1 BUG add 10 In -10y, y is multiplied by -10. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:26:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y = -7 strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y/-10 = -7/-10 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10y/-10 = -7/-10 strategic 2 OK typein -7/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y = 5 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 5y strategic 1 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 5y strategic 2 OK typein 5*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = 5y strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/5 = 5y/5 strategic 1 OK typein 6/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra CaA0123UJL session24 2006-01-11 08:27:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/5 = 5y/5 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra Fx8d98DRud session34 2005-11-11 08:42:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:42:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:44:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK cost default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:44:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 ERROR scuba lessons default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 2 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:44:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK T default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:45:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 BUG 25.50*30 25.50*30
Total cost of scuba lessons increases by 765 when time spent taking lessons is 30, but remember that it starts at 90.75 dollars. BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:47:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 2 OK 25.50*30+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50T+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:48:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:49:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 0 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:50:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 BUG 192.75/25.50 192.75/25.50
Subtract the initial value, 90.75, from time spent taking lessons first before you divide by 25.5. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:50:43.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 INITIAL_HINT 192.75/25.50 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:50:46.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT You know that the expression 25.5T + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5T + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:50:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5T + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:50:55.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT Solve the equation 25.5T + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:53:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 ERROR 25.50*65.25+90.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:53:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 ERROR 25.50*65.25+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session34 2005-11-11 08:54:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:30:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT 25.50*65.25+90.75=192.75 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:30:28.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT You know that the expression 25.5T + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5T + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:30:31.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5T + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:30:35.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Solve the equation 25.5T + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:31:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 ERROR 25.5* default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:32:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 ERROR 25.5*+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:37:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 ERROR 25.5*102.25+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:37:18.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 INITIAL_HINT 25.5*102.25+90.75=192.75 Solve the equation 25.5T + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:38:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 ERROR 25.5*102+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:39:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 ERROR 25.5*T+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:40:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 ERROR 25.5*4+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:40:28.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 12 INITIAL_HINT 25.5*4+90.75=192.75 Solve the equation 25.5T + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:40:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 13 ERROR 25.5*4.25+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:41:18.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:41:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:41:24.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 ERROR time taking lessons, measured into hours default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:42:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:42:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 NEXT_HINT Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:42:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:42:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 8 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:43:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 9 INITIAL_HINT time taking lessons, measured into hours Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:44:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 14 ERROR 25.5*4.50+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 15 ERROR 25.5*4.5+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:44:22.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 16 INITIAL_HINT 25.5*4.5+90.75=192.75 Solve the equation 25.5T + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5T+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:47:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5T+90.75 = 192.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5T = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:48:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 17 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:49:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 BUG 25.5T+90.75=2385.75 25.5T+90.75=2385.75
Please check to make sure that 25.5T+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:49:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 10 INITIAL_HINT time taking lessons, measured into hours Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:49:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5T+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5T = 2295 strategic 1 OK divide 25.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 11 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:51:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 1 OK amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:51:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 1 BUG yards YARDS
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 2 OK sguare y yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:52:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 1 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:52:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:52:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C1 1 OK 14 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:53:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R3C1 1 INITIAL_HINT Define a variable for the amount of carpet. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:53:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:53:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 4 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:53:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 1 ERROR 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:54:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 2 ERROR 10 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 3 OK 10.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:55:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R4C2 1 INITIAL_HINT You are given a value for the amount of carpet. Find the cost of the carpet. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:55:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R4C2 2 NEXT_HINT You are given a value for the amount of carpet. Find the cost of the carpet by calculating 14.95 times the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:55:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C2 3 BUG 14.95C 14.95C
You entered 14.95C in the wrong row. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session35 2005-11-16 08:55:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 1 OK 14.95C default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:26:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C2 1 OK 747.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:27:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R6C1 1 INITIAL_HINT 747.5 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 747.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:27:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R6C1 2 NEXT_HINT You know that the expression 14.95C represents the cost of the carpet. What value of the amount of carpet will make the general expression 14.95C output the given value of 747.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:27:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R6C1 3 NEXT_HINT Since the general expression for the cost of the carpet is 14.95C and since the cost of the carpet in this question is 747.5, set the two of them equal to find the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:27:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36C R6C1 4 NEXT_HINT Solve the equation 14.95C = 747.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:28:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 1 OK 14.95C=747.5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:28:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95C = 747.5 strategic 1 BUG multiply 14.95 To remove the coefficient of 14.95C, you need to divide. Erase your last step and then divide both sides by 14.95. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:28:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95C = 747.5 strategic 2 OK divide 14.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:29:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C1 5 OK 50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:29:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 1 OK 1196 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:31:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 2 OK 14.95C=1196 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:31:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95C = 1196 strategic 1 OK divide 14.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:31:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:32:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 1 OK amount of money spent on long distances default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:32:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:33:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:33:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:33:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:34:05.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R4C2 1 INITIAL_HINT You are given a value for the amount spent on long distance. Find total number of travel points. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:34:07.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R4C2 2 NEXT_HINT You are given a value for the amount spent on long distance. Find total number of travel points by calculating 5 times the amount spent on long distance plus 5000. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:34:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 OK 5D+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:35:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:35:53.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 2 INITIAL_HINT 27.50 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:35:55.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 3 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:35:59.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 4 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:36:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 5 OK 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:36:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:36:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:37:25.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 1 INITIAL_HINT 46000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 46000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:37:29.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 2 NEXT_HINT You know that the expression 5D + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5D + 5000 output the given value of 46000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:37:33.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 3 NEXT_HINT Since the general expression for total number of travel points is 5D + 5000 and since total number of travel points in this question is 46000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:37:36.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 4 NEXT_HINT Solve the equation 5D + 5000 = 46000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:39:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 1 OK 5D+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:39:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 1 BUG multiply 5 To remove the coefficient of 5D, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:39:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 2 BUG multiply 5 To remove the coefficient of 5D, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:40:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 3 ERROR divide 5D default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:40:19.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:40:20.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 5 NEXT_HINT 5000 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:40:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 6 NEXT_HINT You can subtract 5000 from both sides of the equation to eliminate the constant value of 5000 (5000 - 5000 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 7 BUG divide 5000 You want to isolate 5D by removing 5000 from the left side. 5000 is added to 5D. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:40:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 46000 strategic 8 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:41:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5D = 41000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:41:06.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5D = 41000 strategic 2 NEXT_HINT 5D is 5 times D. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:41:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D = 41000 strategic 3 BUG multiply 5 To remove the coefficient of 5D, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D = 41000 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:41:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 5 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:42:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 1 INITIAL_HINT 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:42:05.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 2 NEXT_HINT You know that the expression 5D + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5D + 5000 output the given value of 27000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:42:08.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 3 NEXT_HINT Since the general expression for total number of travel points is 5D + 5000 and since total number of travel points in this question is 27000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:42:12.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 4 NEXT_HINT Solve the equation 5D + 5000 = 27000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 2 OK 5D+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:42:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D+5000 = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:43:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5D = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:43:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 5 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 1 OK Cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:44:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 1 OK Area of construction default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 1 OK square foot default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:44:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:44:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 1 OK A default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:44:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R4C2 1 INITIAL_HINT You are given a value for the area to be constructed. Find the cost of construction. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:44:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R4C2 2 NEXT_HINT You are given a value for the area to be constructed. Find the cost of construction by calculating 43.5 times the area to be constructed. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 1 OK 43.5A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C2 1 OK 239250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:46:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C2 1 OK 12,049.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:46:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C2 3 OK 43.50*1250 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:46:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R5C2 1 INITIAL_HINT You are given a value for the area to be constructed. Find the cost of construction. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:46:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R5C2 2 NEXT_HINT You are given a value for the area to be constructed. Find the cost of construction by calculating 43.5 times the area to be constructed. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C2 3 OK 43.50*255 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:47:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 1 INITIAL_HINT 239250 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 239250 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:47:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 2 NEXT_HINT You know that the expression 43.5A represents the cost of construction. What value of the area to be constructed will make the general expression 43.5A output the given value of 239250 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:47:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 3 NEXT_HINT Since the general expression for the cost of construction is 43.5A and since the cost of construction in this question is 239250, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:48:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 4 NEXT_HINT Solve the equation 43.5A = 239250. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:48:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 1 OK 43.5A=239250 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:48:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5A = 239250 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:48:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 5 OK 5500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 1 INITIAL_HINT 12049.5 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 12049.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 2 NEXT_HINT You know that the expression 43.5A represents the cost of construction. What value of the area to be constructed will make the general expression 43.5A output the given value of 12049.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 3 NEXT_HINT Since the general expression for the cost of construction is 43.5A and since the cost of construction in this question is 12049.5, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 4 NEXT_HINT Solve the equation 43.5A = 12049.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 5 NEXT_HINT Since the general expression for the cost of construction is 43.5A and since the cost of construction in this question is 12049.5, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 6 NEXT_HINT Solve the equation 43.5A = 12049.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:49:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 2 OK 43.5A=12049.5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:50:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5A = 12049.5 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 7 OK 277 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:50:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 1 OK 1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:50:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 1 OK 255 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:51:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK number of studentsenrolled in algebra default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:52:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK number of students recieving an A or B default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:52:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 INITIAL_HINT Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 2 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 3 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R4C2 1 INITIAL_HINT You are given a value for the number of students in algebra. Find the number of students earning an A or B in Algebra. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:53:41.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R4C2 2 NEXT_HINT You are given a value for the number of students in algebra. Find the number of students earning an A or B in Algebra by calculating 0.15 times the number of students in algebra. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:54:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 4 OK 0.15S default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:54:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 INITIAL_HINT 48 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 48 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:54:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R6C1 2 NEXT_HINT You know that the expression 0.15S represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.15S output the given value of 48 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:54:18.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R6C1 3 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.15S and since the number of students earning an A or B in Algebra in this question is 48, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:54:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R6C1 4 NEXT_HINT Solve the equation 0.15S = 48. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:54:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 1 OK 0.15S=48 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:55:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15S = 48 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:55:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 5 OK 320 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:55:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 2 OK 0.15S=9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:55:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A 0.15S = 9 strategic 1 OK divide .15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session36 2005-11-18 08:55:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:50:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 OK number of people default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:50:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 OK cost of the cake default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:50:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:50:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:51:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:51:17.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R4C2 1 INITIAL_HINT You are given a value for people. Find the cost of the cake. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:51:18.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R4C2 2 NEXT_HINT You are given a value for people. Find the cost of the cake by calculating 0.75 times people. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:51:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 OK 0.75P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:51:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C2 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 1 ERROR 36 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 2 OK 36.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:36.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 1 INITIAL_HINT 120 dollars is the given output value in this question, because it depends on people. What value of people does it take to output 120 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:38.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 2 NEXT_HINT You know that the expression 0.75P represents the cost of the cake. What value of people will make the general expression 0.75P output the given value of 120 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:43.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 3 NEXT_HINT Since the general expression for the cost of the cake is 0.75P and since the cost of the cake in this question is 120, set the two of them equal to find people. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:52:47.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 4 NEXT_HINT Solve the equation 0.75P = 120. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:53:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 1 OK 0.75P=120 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:53:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75P = 120 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:53:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 5 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:54:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 2 OK 0.75P=36.75 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:54:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75P = 36.75 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:55:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:55:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK total distance default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session37 2005-11-23 08:55:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:17:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 ERROR 30 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:18:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 2 ERROR 90 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:18:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C1 3 INITIAL_HINT 90 Define a variable for the time. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:18:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C1 4 NEXT_HINT To define a variable, enter a single letter to represent the time. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:18:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R3C1 5 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:18:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 6 OK T default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:18:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:19:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C2 1 INITIAL_HINT You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:19:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C2 2 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1250 times the time plus 750. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:19:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 OK 1250T+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:20:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 2 ERROR 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:20:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 3 INITIAL_HINT 90 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:20:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 4 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:20:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 5 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:21:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 6 ERROR 11 hour 30 minutes default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:21:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 7 ERROR 1hour 30 minutes default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:22:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 8 ERROR 1,30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:22:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 9 INITIAL_HINT 1,30 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:22:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 ERROR 1:63 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:23:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 10 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:23:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 11 ERROR 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:23:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 ERROR 96 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:23:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:24:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 ERROR 3500 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:26:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C2 3 ERROR 1250*90+750 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:26:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C2 4 ERROR 1250*+750 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:26:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 12 ERROR 1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:26:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R4C1 13 INITIAL_HINT 1.5 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:26:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 14 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 3 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:27:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 4 ERROR 136 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:27:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 5 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:27:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 6 ERROR 1,36 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:27:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 7 ERROR 0.36 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:28:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 8 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:28:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 9 INITIAL_HINT 1.36 Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:28:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 10 NEXT_HINT You know that the time is one hour and thirty-six minutes. Convert 36 minutes to hours and then add 1 hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:28:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 11 NEXT_HINT There are 60 minutes in a hour. What is one hour and thirty-six minutes in hours? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:28:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 12 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 36 minutes is 0.6 hours. Add 1 hour to this for a total of 1.6 hours. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:28:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 13 OK 1.6 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:29:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 2 INITIAL_HINT 3500 Read the problem statement. What information is given in question 3 about the total distance it has flown? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:29:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 3 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:29:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 4 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:29:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 5 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:30:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C2 6 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:30:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 2 INITIAL_HINT 3500 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:30:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 3 NEXT_HINT You know that the expression 1250T + 750 represents the total distance it has flown. What value of the time will make the general expression 1250T + 750 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:30:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 4 NEXT_HINT Since the general expression for the total distance it has flown is 1250T + 750 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:30:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 5 NEXT_HINT Solve the equation 1250T + 750 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:30:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 7 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:31:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 6 INITIAL_HINT 3500 Solve the equation 1250T + 750 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:31:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250T+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:31:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250T+750 = 1750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:32:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B T+3/5 = 7/5 strategic 1 ERROR rf T+3/5 = 7/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:32:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B T+3/5 = 7/5 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:32:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B T+3/5 = 7/5 strategic 3 NEXT_HINT 3/5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3/5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:32:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B T+3/5 = 7/5 strategic 4 NEXT_HINT You can subtract 3/5 from both sides of the equation to eliminate the constant value of 3/5 (3/5 - 3/5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:32:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B T+3/5 = 7/5 strategic 5 OK subtract 3/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 7 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 1 INITIAL_HINT 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 2 NEXT_HINT You know that the expression 1250T + 750 represents the total distance it has flown. What value of the time will make the general expression 1250T + 750 output the given value of 3500 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1250T + 750 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 4 NEXT_HINT Solve the equation 1250T + 750 = 3500. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250T+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250T+750 = 3500 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:34:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B T+3/5 = 14/5 strategic 1 OK subtract 3/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:34:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 5 OK 11/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:34:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 1 OK The current pay default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:34:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 1 BUG money money
The current salary is a quantity of Money. What unit measuring Money can be used to measure the current salary in this problem? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:35:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 2 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C2 1 OK employee's raise default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 1 ERROR percent default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:10.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C2 2 INITIAL_HINT percent You need to enter a unit for measuring the raise. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C2 3 NEXT_HINT What would you say if you were measuring the raise? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 4 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C1 1 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R4C1 1 OK 17500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:44.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R4C2 1 INITIAL_HINT You are given a value for the current salary. Find the raise. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:36:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R4C2 2 NEXT_HINT You are given a value for the current salary. Find the raise by calculating 0.05 times the current salary. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:37:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 1 ERROR 0.05 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:37:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 2 ERROR 0.05 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 3 ERROR 0.05 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:37:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 4 OK 0.05D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:37:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C2 1 OK 0.05*43000 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:37:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 1 OK 43000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:38:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 1 BUG 5000 5000
You entered 5,000.00 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C2 1 OK 5000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:39:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 1 OK 0.05D=5000 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:39:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 5000 strategic 1 OK divide 0.05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:39:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 2 OK 100,000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:40:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 2 OK 0.05D=3125 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05D = 3125 strategic 1 OK divide 0.05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:41:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C1 1 OK 62500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:42:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 OK Gross pay default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:42:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 OK Take home pay default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:42:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:42:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 ERROR percent default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 2 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 OK D default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R4C2 1 INITIAL_HINT You are given a value for the gross pay. Find the take-home pay. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R4C2 2 NEXT_HINT You are given a value for the gross pay. Find the take-home pay by calculating 0.65 times the gross pay. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 OK 0.65D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:43:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 OK 40,000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:44:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:44:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:45:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B ValidEquations 1 OK 0.65D=3250 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:45:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B 0.65D = 3250 strategic 1 OK divide 0.65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:45:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B ValidEquations 2 OK 0.65D=1673.75 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:46:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B 0.65D = 1673.75 strategic 1 OK divide 0.65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:46:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 2575 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:47:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK number of snow cones default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK Profit default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:47:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:48:05.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R4C2 1 INITIAL_HINT You are given a value for the number of snow cones we sell. Find the profit. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:48:07.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R4C2 2 NEXT_HINT You are given a value for the number of snow cones we sell. Find the profit by calculating 1.5 times the number of snow cones we sell minus 60. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:48:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:48:19.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R4C2 3 INITIAL_HINT You are given a value for the number of snow cones we sell. Find the profit by calculating 1.5 times the number of snow cones we sell minus 60. HINT 2 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:48:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 OK 1.5*S-60 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:49:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C2 4 OK 1.50*300-60 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:49:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C2 1 OK 1.50*750-60 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:50:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:50:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 BUG 540 540
You entered 540.00 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:50:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 2 OK 283.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:51:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 1 OK 1.5S-60=540 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:51:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5S-60 = 540 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:51:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C S-40 = 360 strategic 1 BUG subtract 40 Since -40 is negative, you should add to remove it from the left side. Erase your last step and add 40 to both sides. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:02.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C S-40 = 360 strategic 2 INITIAL_HINT default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:03.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C S-40 = 360 strategic 3 NEXT_HINT -40 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -40 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C S-40 = 360 strategic 4 OK subtract -40 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 2 OK 1.5S-60=283.5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5S-60 = 283.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:52:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C S-40 = 189 strategic 1 OK subtract -40 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:53:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:53:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:54:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 1 OK Total cost default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:54:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:55:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C1 1 OK length of the mobile telephone call default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session38 2005-11-30 08:55:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:47:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:47:55.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R4C2 1 INITIAL_HINT You are given a value for the length of the phone call. Find the cost of a mobile telephone call. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:47:57.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R4C2 2 NEXT_HINT You are given a value for the length of the phone call. Find the cost of a mobile telephone call by calculating 1.5 times the length of the phone call plus 2. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:48:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C2 1 BUG 1.5M 1.5M
The cost of a mobile telephone call increases by 1.5 each minute, but remember that it starts at 2 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:48:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C2 2 OK 1.5M+2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:48:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C2 3 ERROR 1.50*80+2 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:49:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 1 ERROR 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:49:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 2 ERROR 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:49:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C2 4 ERROR 80 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:49:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C2 5 ERROR 1.50*80+2.00 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:49:52.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A R4C2 6 INITIAL_HINT 1.50*80+2.00 You are given a value for the length of the phone call. Find the cost of a mobile telephone call by calculating 1.5 times the length of the phone call plus 2. HINT 2 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C2 7 ERROR 1.5*80+2.00 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:50:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 3 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:50:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R5C1 1 ERROR 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:50:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R5C1 2 OK 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:51:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 1 OK 1.5M+2=20 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.5M+2 = 20 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A M+1.33333333 = 13.33333333 strategic 1 ERROR clt M+1.33333333 = 13.33333333 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:22.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A M+1.33333333 = 13.33333333 strategic 2 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:23.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A M+1.33333333 = 13.33333333 strategic 3 NEXT_HINT 1.3333 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1.3333 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:27.0 HINT HINT CTA1_04 CTA1_04-3 DEC01A M+1.33333333 = 13.33333333 strategic 4 NEXT_HINT You can subtract 1.3333 from both sides of the equation to eliminate the constant value of 1.3333 (1.3333 - 1.3333 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A M+1.33333333 = 13.33333333 strategic 5 OK subtract 1.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C1 1 OK 12 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:53:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A ValidEquations 2 OK 1.5M+2=54.5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A 1.5M+2 = 54.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:53:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A M+1.33333333 = 36.33333333 strategic 1 OK subtract 1.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:53:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C1 1 OK 35 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:54:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:54:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of the order default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:54:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:54:57.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:54:58.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:55:03.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:55:15.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R4C2 1 INITIAL_HINT You are given a value for the cost of the items. Find the total cost of the order. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:55:16.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R4C2 2 NEXT_HINT You are given a value for the cost of the items. Find the total cost of the order by calculating 0.75 times the cost of the items plus 25. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 OK 0.75D+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session39 2005-12-02 08:55:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:17:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:18:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:19:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 OK 0.75D+25=231.25 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:19:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:19:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:19:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75D+25 = 231.25 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:20:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C D+33.33333333 = 308.33333333 strategic 1 ERROR clt D+33.33333333 = 308.33333333 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:20:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C D+33.33333333 = 308.33333333 strategic 2 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:20:22.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C D+33.33333333 = 308.33333333 strategic 3 NEXT_HINT 33.3333 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 33.3333 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:20:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C D+33.33333333 = 308.33333333 strategic 4 OK subtract 33.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:20:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:20:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 OK 0.75D+25=250 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:21:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK 0.75D+25=250 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:21:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75D+25 = 250 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:21:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C D+33.33333333 = 333.33333333 strategic 1 OK subtract 33.3333 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:21:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:22:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK Cellular phone time default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:22:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:23:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK amount of the next bill default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:23:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:23:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:23:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:23:59.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R4C2 1 INITIAL_HINT You are given a value for the cellular phone time used next month. Find balance on the next bill. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:24:00.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R4C2 2 NEXT_HINT You are given a value for the cellular phone time used next month. Find balance on the next bill by calculating 0.21 times the cellular phone time used next month minus 5.26. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:24:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 OK 0.21M-5.26 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:24:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C2 3 OK 0.21*27-5.26 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:25:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C2 1 OK 0.21*50-5.26 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:25:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:25:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:26:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK 0.21M-5.26=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:27:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21M-5.26 = 15.74 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:27:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A M-25.04761905 = 74.95238095 strategic 1 BUG subtract 25.0476 Since -25.0476 is negative, you should add to remove it from the left side. Erase your last step and add 25.0476 to both sides. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:27:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A M-25.04761905 = 74.95238095 strategic 2 ERROR clt M-25.04761905 = 74.95238095 strategic default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:28:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A M-25.04761905 = 74.95238095 strategic 3 OK add 25.0476 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:28:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:28:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK 0.21M-5.26=20 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:28:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21M-5.26 = 20 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:28:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A M-25.04761905 = 95.23809524 strategic 1 OK add 25.0476 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:28:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:29:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:29:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK number of hours default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:29:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:30:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK Temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:30:39.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 1 INITIAL_HINT You are given a value for the number of hours from now. Find the temperature of the liquid. HINT 1 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:30:41.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 2 NEXT_HINT You are given a value for the number of hours from now. Find the temperature of the liquid by calculating -4.5 times the number of hours from now minus 36. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:31:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 OK -4.5H-36 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:31:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK H default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:32:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:32:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:32:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 OK Celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:32:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 OK -72 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -4.5H-36=-72 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H-36 = -72 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:34:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C H+8 = 16 strategic 1 OK subtract 8 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:34:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:35:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -4.5H-36=0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:35:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H-36 = 0 strategic 1 ERROR divide 4.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:35:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H-36 = 0 strategic 2 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C H+8 = 0 strategic 1 OK subtract 8 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:35:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:36:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:37:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:37:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 BUG Minutes MINUTES
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 BUG Minutes MINUTES
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:37:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 3 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:38:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 4 OK month default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:38:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:38:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:38:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 2 INITIAL_HINT 100 Read the problem statement. What information is given in question 1 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:38:46.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 3 NEXT_HINT Important information about the digging time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:38:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 4 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:40:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 5 ERROR 0.12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:40:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 6 ERROR 8.3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:41:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:41:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 7 ERROR 83 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:41:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 8 INITIAL_HINT 83 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:42:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 9 ERROR 1.2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:43:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 10 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:43:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 11 INITIAL_HINT 120 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:43:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 12 NEXT_HINT Important information about the digging time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:43:52.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 13 NEXT_HINT Read the problem statement. What information is given in question 1 about the digging time? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:43:55.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 14 NEXT_HINT Important information about the digging time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:43:57.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 15 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:44:37.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:44:40.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -7 times the digging time minus 1550. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:45:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 OK -7M-1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:45:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 16 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 17 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:45:56.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 18 INITIAL_HINT 120 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:46:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 19 ERROR 120 months default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:46:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 20 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:46:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 21 ERROR 1200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:46:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 22 INITIAL_HINT 1200 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:46:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 23 ERROR 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:46:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 24 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:47:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:47:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 25 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:47:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 26 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:47:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 3 BUG 1,564 1,564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:48:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 27 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:48:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 28 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:48:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 29 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:48:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 30 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:49:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 31 ERROR 22 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:49:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C1 32 INITIAL_HINT 22 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:50:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 33 OK -120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:50:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 4 OK -1564 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:52:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -7m-1550=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:52:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -7M-1550=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:52:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M-1550 = -1564 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 M+1550/7 = 1564/7 strategic 1 ERROR rf M+1550/7 = 1564/7 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:52:43.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 M+1550/7 = 1564/7 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:52:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 M+1550/7 = 1564/7 strategic 3 NEXT_HINT 1550/7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1550/7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:53:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 M+1550/7 = 1564/7 strategic 4 OK subtract 1,550/7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:53:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 ERROR 100 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 2 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 3 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 4 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 5 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 6 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 7 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session40 2005-12-07 08:54:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 8 ERROR 1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:00:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR -1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:03:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 ERROR 102 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:03:54.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 2 INITIAL_HINT 102 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:03:57.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 3 NEXT_HINT You know that the expression -1550 - 7M represents the depth of the mine. What value of the digging time will make the general expression -1550 - 7M output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:04:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 4 NEXT_HINT Since the general expression for the depth of the mine is -1550 - 7M and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:04:04.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C1 5 NEXT_HINT Solve the equation -1550 - 7M = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:04:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7M=0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:04:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 1 ERROR divide 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:03.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:04.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 3 NEXT_HINT -1550 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1550 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 4 NEXT_HINT You can add 1550 to both sides of the equation to eliminate the constant value of -1550 (-1550 + 1550 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 5 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = 1550 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 M = -1550/7 strategic 1 BUG rf M = -1550/7 strategic You already solved the equation. M is -1550/7. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:05:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 6 BUG 1550/7 1550/7
Use parentheses. Type (0 - -1550)/ -7 as (0 - -1550)/ -7 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:06:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 7 OK 0-(-1550)/-7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:07:21.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:07:22.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:07:26.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:07:38.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 ERROR clt 2y-3 = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:07:50.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 5 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 6 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:13.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:15.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 3 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:34.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:42.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:44.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:08:54.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:09:06.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:09:14.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:09:16.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 6 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:09:22.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 7 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:09:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 8 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:09:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:10:23.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(-8+6) strategic 1 BUG add (-8+6) Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:10:35.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(-8+6) strategic 2 OK clt -8+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:10:44.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6*-2 strategic 1 OK mt -6*-2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:11:32.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-2-6)*8 strategic 1 BUG subtract (-2-6) Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:11:41.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-2-6)*8 strategic 2 OK clt -2-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:11:49.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -8*8 strategic 1 OK mt -8*8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:12:05.0 CYCLE CYCLE ES_02 ES_02-1 EG31 9(-7-7) strategic 1 OK clt -7-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:12:13.0 CYCLE CYCLE ES_02 ES_02-1 EG31 9*-14 strategic 1 OK mt 9*-14 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:12:31.0 CYCLE CYCLE ES_02 ES_02-1 EG29 4*-2-5 strategic 1 OK mt 4*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:12:46.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8-5 strategic 1 OK clt -8-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:13:10.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (0-6)*-3 strategic 1 OK clt 0-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:13:21.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6*-3 strategic 1 OK mt -6*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:13:36.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-5*-7 strategic 1 OK mt 5*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:13:44.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-(-35) strategic 1 OK clt -6-(-35) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:13:57.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (5-8)*-6 strategic 1 OK clt 5-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:14:04.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -3*-6 strategic 1 OK mt -3*-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:14:16.0 CYCLE CYCLE ES_02 ES_02-1 EG28 10-9*-3 strategic 1 OK mt 9*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:14:41.0 CYCLE CYCLE ES_02 ES_02-1 EG28 10-(-27) strategic 1 OK clt 10-(-27) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:15:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4-1)*-9 strategic 1 ERROR mt (4-1)*-9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:15:19.0 HINT HINT ES_02 ES_02-2 EG30 (4-1)*-9 strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:15:20.0 HINT HINT ES_02 ES_02-2 EG30 (4-1)*-9 strategic 3 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:15:24.0 HINT HINT ES_02 ES_02-2 EG30 (4-1)*-9 strategic 4 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:15:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (4-1)*-9 strategic 5 OK clt 4-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:15:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 5*-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 5*(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 5*(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR 5*(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR 5*(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 ERROR 5*(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:08.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 7 INITIAL_HINT 5*(-9) You need to combine like terms in (4-1)*-9. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 OK 3*(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:16:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 3*-9 strategic 1 OK mt 3*-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:17:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 OK -27 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:17:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 5(8+3) strategic 1 OK clt 8+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:17:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 5*11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:17:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 5*11 strategic 1 OK mt 5*11 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:17:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 55 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:18:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4*-6+2 strategic 1 ERROR clt -4*-6+2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:18:27.0 HINT HINT ES_02 ES_02-2 EG29 -4*-6+2 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:18:28.0 HINT HINT ES_02 ES_02-2 EG29 -4*-6+2 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:18:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4*-6+2 strategic 4 OK mt -4*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:19:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -24+2 -24+2
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:20:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -4*-6+2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:20:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 24+2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:21:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 24+2 strategic 1 OK clt 24+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session41 2005-12-09 10:21:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK 26 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 10:58:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-6*-1 strategic 1 OK mt 6*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 10:59:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 10:59:24.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 2 INITIAL_HINT 6 You need to perform multiplication in -3-6*-1. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 10:59:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -3(-6) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:00:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -3-(-6) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:00:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+6 strategic 1 OK clt -3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:00:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:01:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5-6)*-6 strategic 1 OK clt -5-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:01:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -11*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:01:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -11*-6 strategic 1 OK mt -11*-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:01:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 66 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:02:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-8*4 strategic 1 OK mt 8*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:02:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 8-32 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:02:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-32 strategic 1 OK clt 8-32 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:02:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 40 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:02:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 24 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:03:09.0 HINT HINT ES_02 ES_02-2 EG28 8-32 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:03:10.0 HINT HINT ES_02 ES_02-2 EG28 8-32 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:03:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-32 strategic 4 OK clt 8-32 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:03:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -24 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:04:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6-8*-6 strategic 1 OK mt 8*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:04:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 48 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:05:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 48+-6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:05:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 48-6 strategic 1 OK clt 48-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:05:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 48+-6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:05:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 48-6 strategic 2 OK clt 48-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:06:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK 42 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:06:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 7-5*-9 strategic 1 OK mt 5*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:06:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 45+7 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:06:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 45+7 strategic 1 OK clt 45+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:06:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 52 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:07:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(-6-4) strategic 1 OK clt -6-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:07:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG -10 -10
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 BUG 10 10
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 BUG -10 -10
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:38.0 HINT HINT ES_02 ES_02-2 EG31 1(-6-4) strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:40.0 HINT HINT ES_02 ES_02-2 EG31 1(-6-4) strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(-6-4) strategic 4 OK mt 1(-6-4) default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-41R1 strategic 1 OK -6-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:08:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 1 OK 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 1 ERROR 24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 2 ERROR 24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 3 ERROR 24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 4 ERROR -24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 5 ERROR 24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 6 ERROR 24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:09:55.0 HINT HINT ES_02 ES_02-2 EG31 -6-4R2 strategic 7 INITIAL_HINT 24 In the group above, you have [-6-4]. Type [-6-4] here. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:10:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 8 ERROR 10 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:10:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 9 ERROR 24 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 14 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 15 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 16 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 17 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 18 BUG 24 24
Perhaps you should fill in all the -6-4 factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(-6-4) strategic 5 OK mt 1(-6-4) default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:11:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-41R1 strategic 2 OK -6-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 2 OK 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6-4R2 strategic 10 OK -10 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 19 OK -10 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:53.0 HINT HINT ES_02 ES_02-2 EG31 9(-7-3) strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:54.0 HINT HINT ES_02 ES_02-2 EG31 9(-7-3) strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:12:57.0 HINT HINT ES_02 ES_02-2 EG31 9(-7-3) strategic 3 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:13:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9(-7-3) strategic 4 OK clt -7-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:13:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 9*-10 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:14:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9*-10 strategic 1 OK mt 9*-10 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:14:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -90 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2+4)*-6 strategic 1 OK clt -2+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR 2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:40.0 HINT HINT ES_02 ES_02-2 EG30 (-2+4)*-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:42.0 HINT HINT ES_02 ES_02-2 EG30 (-2+4)*-6 strategic 3 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:45.0 HINT HINT ES_02 ES_02-2 EG30 (-2+4)*-6 strategic 4 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:15:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2+4)*-6 strategic 5 OK clt -2+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:16:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 2*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:16:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2*-6 strategic 1 OK mt 2*-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session42 2005-12-09 11:16:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK -12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:41:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8(4+0) strategic 1 OK clt 4+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:41:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 4*-8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:41:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 4*-8 strategic 1 OK mt 4*-8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:42:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -32 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:42:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-1*-3 strategic 1 OK mt 1*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:42:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:43:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:43:02.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 3 INITIAL_HINT -3 You need to perform multiplication in 4-1*-3. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:43:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 4-(-3) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:43:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4+3 strategic 1 OK clt 4+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:43:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:44:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+4*1 strategic 1 OK mt 4*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:44:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 4+2 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:44:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4+2 strategic 1 OK clt 4+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:44:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:44:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7-7*-4 strategic 1 OK mt 7*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:45:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 28-7 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:45:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 28-7 strategic 1 OK clt 28-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:45:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:46:43.0 HINT HINT ES_02 ES_02-3 EG35B -21(-24-12) = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:46:44.0 HINT HINT ES_02 ES_02-3 EG35B -21(-24-12) = y strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:46:47.0 HINT HINT ES_02 ES_02-3 EG35B -21(-24-12) = y strategic 3 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:46:54.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -21(-24-12) = y strategic 4 OK clt -24-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:47:01.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -21*-36 = y strategic 1 OK mt -21*-36 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:47:12.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (-44-20)*6 = x strategic 1 OK clt -44-20 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:47:18.0 CYCLE CYCLE ES_02 ES_02-3 EG34B -64*6 = x strategic 1 OK mt -64*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:47:38.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -6+0*-10 strategic 1 OK mt 0*-10 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:47:48.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -6+0 strategic 1 OK clt -6+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:48:01.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -7-4*4 strategic 1 OK mt 4*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:48:07.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -7-16 strategic 1 OK clt -7-16 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:48:25.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -13(-41-39) strategic 1 OK clt -41-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:48:36.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -13*-80 strategic 1 OK mt -13*-80 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:48:57.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -34-25*-45 strategic 1 OK mt 25*-45 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:49:09.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -34-(-1125) strategic 1 OK clt -34-(-1125) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:49:23.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-2-1)*8 = x strategic 1 OK clt -2-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:49:35.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -3*8 = x strategic 1 OK mt -3*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:49:46.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 5-7*0 strategic 1 OK mt 7*0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:49:51.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 5-0 strategic 1 OK clt 5-0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:50:06.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -22-20*-34 = y strategic 1 OK mt 20*-34 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:50:13.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -22-(-680) = y strategic 1 OK clt -22-(-680) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:50:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (39+46)*-1 = x strategic 1 OK clt 39+46 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:51:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK 85*-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:51:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34A 85*-1 = x strategic 1 OK mt 85*-1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:51:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -1*85 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:51:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -1*85 = x strategic 1 OK mt -1*85 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:51:59.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 OK -85 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:52:15.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -47(-23+4) strategic 1 OK clt -23+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:52:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 BUG 19*-47 19*-47
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:52:48.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK -19*-47 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:52:55.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -19*-47 strategic 1 OK mt -19*-47 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:53:10.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 3 OK 893 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:53:26.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -43(-47-43) = x strategic 1 OK clt -47-43 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:53:52.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -90*-43 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:54:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -90*-43 = x strategic 1 OK mt -90*-43 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:54:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 ERROR 3780 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session43 2005-12-14 08:54:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK 3870 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:14:36.0 HINT HINT ES_02 ES_02-5 EG40 -9 = 6-7x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:14:38.0 HINT HINT ES_02 ES_02-5 EG40 -9 = 6-7x strategic 2 NEXT_HINT 6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:14:41.0 HINT HINT ES_02 ES_02-5 EG40 -9 = 6-7x strategic 3 NEXT_HINT You can subtract 6 from both sides of the equation to eliminate the constant value of 6 (6 - 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:14:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = 6-7x strategic 4 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-6 = 6-7x-6 strategic 1 ERROR multiply 7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:22.0 HINT HINT ES_02 ES_02-5 EG40 -9-6 = 6-7x-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:23.0 HINT HINT ES_02 ES_02-5 EG40 -9-6 = 6-7x-6 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-6 = 6-7x-6 strategic 4 OK clt -9-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 6-7x-6 strategic 1 OK clt 6-7x-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = -7x strategic 1 ERROR clt -15 = -7x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = -7x strategic 2 ERROR mt -15 = -7x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:55.0 HINT HINT ES_02 ES_02-5 EG40 -15 = -7x strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:15:56.0 HINT HINT ES_02 ES_02-5 EG40 -15 = -7x strategic 4 NEXT_HINT -7x is -7 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:16:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = -7x strategic 5 BUG divide 7 In this equation, x is multiplied by -7. Dividing by 7 leaves -x, so you still need to remove the negative sign. It is better to divide by -7, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:16:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = -7x strategic 6 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:16:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15/-7 = -7x/-7 strategic 1 OK rf -15/-7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:16:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15/-7 = -7x/-7 strategic 2 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:17:24.0 HINT HINT ES_02 ES_02-5 EG40 -2+4y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:17:25.0 HINT HINT ES_02 ES_02-5 EG40 -2+4y = 8 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:17:28.0 HINT HINT ES_02 ES_02-5 EG40 -2+4y = 8 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:17:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+4y = 8 strategic 4 ERROR clt -2+4y = 8 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:17:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+4y = 8 strategic 5 BUG add -2 To remove -2 from the left side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:18:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+4y = 8 strategic 6 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:18:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+4y-(-2) = 8-(-2) strategic 1 OK clt -2+4y-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:18:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = 8-(-2) strategic 1 OK clt 8-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:18:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = 10 strategic 1 ERROR mt 4y = 10 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:18:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = 10 strategic 2 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:18:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y/4 = 10/4 strategic 1 OK rf 10/4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:19:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y/4 = 10/4 strategic 2 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:19:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -10x+9 strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:19:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -10x+9 strategic 2 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:19:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-9 = -10x+9-9 strategic 1 OK clt 4-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:20:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -10x+9-9 strategic 1 OK clt -10x+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:20:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -10x strategic 1 BUG divide 10 In this equation, x is multiplied by -10. Dividing by 10 leaves -x, so you still need to remove the negative sign. It is better to divide by -10, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:20:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -10x strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:20:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-10 = -10x/-10 strategic 1 OK rf -5/-10 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:21:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-10 = -10x/-10 strategic 2 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:21:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-8y = 3 strategic 1 BUG subtract 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:21:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-8y = 3 strategic 2 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:21:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-8y-2 = 3-2 strategic 1 OK clt 2-8y-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:21:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = 3-2 strategic 1 OK clt 3-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:22:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = 1 strategic 1 ERROR mt -8y = 1 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:22:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = 1 strategic 2 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:22:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y/-8 = 1/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:22:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-4x = -5 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:23:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-4x-7 = -5-7 strategic 1 OK clt 7-4x-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:23:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x = -5-7 strategic 1 OK clt -5-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:23:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x = -12 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:23:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x/-4 = -12/-4 strategic 1 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:24:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 7x-4 strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:24:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-(-4) = 7x-4-(-4) strategic 1 OK clt 8-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:24:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = 7x-4-(-4) strategic 1 OK clt 7x-4-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:24:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:24:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/7 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:24:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 4+3y strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:25:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-4 = 4+3y-4 strategic 1 OK clt -4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:25:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 4+3y-4 strategic 1 OK clt 4+3y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:25:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:25:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:25:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x = -6 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:26:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x-(-9) = -6-(-9) strategic 1 ERROR typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:26:23.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:26:24.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x = -6 strategic 3 NEXT_HINT -9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:26:27.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x = -6 strategic 4 NEXT_HINT You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:26:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x = -6 strategic 5 BUG add -9 To remove -9 from the left side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:26:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x = -6 strategic 6 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:27:00.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:27:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 2 ERROR typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:27:12.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:27:43.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:27:45.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 5 NEXT_HINT Type in -9-6x+9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:28:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 6 OK typein -9-6x+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:28:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 7 BUG typein -15 -15 is equal to -6 minus 9. You need to calculate -6 plus 9. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:28:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 8 ERROR typein 6+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:28:52.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 9 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:28:53.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 10 NEXT_HINT Type in -6+9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 11 OK typein -6+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 12 OK clt -9-6x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:29:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:30:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 6 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:30:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 7 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:30:15.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 13 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:30:16.0 HINT HINT ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 14 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:30:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = -6+9 strategic 15 OK clt -6+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:30:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = 3 strategic 1 OK clt -9-6x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 8 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 BUG 3 3
Perhaps you should fill in all the x terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 9 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 ERROR -6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:31:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:32:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 ERROR = default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:32:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 BUG -54 -54
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:32:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:32:50.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 5 INITIAL_HINT x In the group above, you have [-6x]. Type [-6x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 6 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 BUG 9 9
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 BUG -54 -54
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG -54 -54
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG -54 -54
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG -54 -54
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 BUG 9 9
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:25.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT 9 From the original equation at the top, select -9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9-6x+9 = 3 strategic 2 OK clt -9-6x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:33:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 10 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 11 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 12 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 7 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 8 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 9 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 10 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 BUG -9 -9
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 BUG -9 -9
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK +9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:34:47.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 9 INITIAL_HINT -9 In the group above, you have [-9]+[+9]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:35:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 10 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:35:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:35:26.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT x Above, you have [-6x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:35:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -6x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 1 ERROR mt -6x+0 = 3 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:13.0 HINT HINT ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 2 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:14.0 HINT HINT ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 3 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 4 OK clt -6x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 13 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK +0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 11 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 11 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:44.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT Above, you have [-6x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:36:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:37:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 OK -6x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:37:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 5 OK clt -6x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:37:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 12 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:37:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 12 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:38:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 ERROR -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:38:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 14 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:38:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK +0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:38:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 ERROR x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:38:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 ERROR 6x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:38:54.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 16 INITIAL_HINT 6x Above, you have [-6x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:39:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 17 ERROR 6x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:39:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 18 OK -6x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:05.0 HINT HINT ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 6 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:06.0 HINT HINT ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 7 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x+0 = 3 strategic 8 OK clt -6x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 13 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 13 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 19 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 20 ERROR x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 21 OK -6x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 15 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK +0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x = 3 strategic 1 ERROR mt -6x = 3 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:56.0 HINT HINT ES_02 ES_02-6 EG40 -6x = 3 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:40:57.0 HINT HINT ES_02 ES_02-6 EG40 -6x = 3 strategic 3 NEXT_HINT -6x is -6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:41:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x = 3 strategic 4 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:41:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 1 ERROR typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:41:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x = 3 strategic 5 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:41:55.0 HINT HINT ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:41:56.0 HINT HINT ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 3 NEXT_HINT Type in -6x/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:42:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 4 OK typein -6x/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:42:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 5 OK typein 3/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:42:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 6 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:42:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6x/-6 = 3/-6 strategic 7 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:43:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 22 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:44:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 6-6y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:44:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 1 OK typein 6/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:44:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 2 ERROR typein 6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 3 ERROR typein -6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 4 ERROR typein 6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:28.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:28.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 6 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 7 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:44.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:45:45.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 9 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:46:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 10 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:47:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 11 ERROR typein 6-6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:47:19.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 12 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:47:20.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 13 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:49:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 14 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:49:57.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 15 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:49:58.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 16 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:51:00.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 17 NEXT_HINT Divide by -6 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:51:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 18 ERROR typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:51:31.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 19 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:51:32.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 20 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:52:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 21 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:52:59.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 22 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:53:00.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 23 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:53:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 24 ERROR typein 6-6y/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:53:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 25 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:54:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 26 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:54:58.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 27 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:55:01.0 HINT HINT ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 28 NEXT_HINT Type in (6-6y)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session44 2005-12-16 08:55:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-6 = (6-6y)/-6 strategic 29 ERROR typein 6-6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:14:57.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 5+2x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:14:59.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 5+2x strategic 2 NEXT_HINT 5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:15:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 5+2x strategic 3 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:15:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 1 ERROR typein 5-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:15:41.0 HINT HINT ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:15:42.0 HINT HINT ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 3 NEXT_HINT Type in -1-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:15:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 4 OK typein -1-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:16:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 5 ERROR typein 2x-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:16:09.0 HINT HINT ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:16:10.0 HINT HINT ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 7 NEXT_HINT Type in 5+2x-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:16:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 8 OK typein 5+2x-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:16:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-5 = 5+2x-5 strategic 9 OK clt -1-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:33.0 HINT HINT ES_02 ES_02-6 EG40 -6 = 5+2x-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:34.0 HINT HINT ES_02 ES_02-6 EG40 -6 = 5+2x-5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 5+2x-5 strategic 3 OK clt 5+2x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG 5 5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 5, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:17:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:18:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:18:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:18:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:18:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:18:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK -5+5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:18:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:19:02.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT 0 Above, you have [2x]+[-5+5]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:19:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:20:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:20:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 5+2x-5 strategic 4 OK clt 5+2x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 BUG -5 -5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -5, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 BUG 2x 2x
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 2x, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 4 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:21:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK -5+5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:22:16.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT Above, you have [2x]+[-5+5]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:22:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:23:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 2x+-5+5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:23:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 2x-5+5 strategic 1 OK clt 2x-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:23:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:23:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:23:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:23:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:24:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:24:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK 2x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:24:37.0 HINT HINT ES_02 ES_02-6 EG40 -6 = 2x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:24:38.0 HINT HINT ES_02 ES_02-6 EG40 -6 = 2x strategic 2 NEXT_HINT 2x is 2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:24:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 2x strategic 3 BUG divide -6 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:25:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 2x strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:25:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/2 = 2x/2 strategic 1 OK typein -6/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:25:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/2 = 2x/2 strategic 2 OK typein 2x/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:25:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/2 = 2x/2 strategic 3 OK rf -6/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:26:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK -3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:26:34.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:26:35.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x/2 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:26:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 2x/2 strategic 3 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:26:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 2x/2 strategic 4 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:26:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:27:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:28:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+4 = -6 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:28:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+4-4 = -6-4 strategic 1 OK typein 9x+4-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:28:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+4-4 = -6-4 strategic 2 OK typein -6-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:28:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x+4-4 = -6-4 strategic 3 OK clt 9x+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:28:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:28:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 9x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -6-4 strategic 1 OK clt -6-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:29:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:30:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:30:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = -10 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:30:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -10/9 strategic 1 OK typein 9x/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:30:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -10/9 strategic 2 OK typein -10/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -10/9 strategic 3 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = -10/9 strategic 4 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 BUG 9 9
Perhaps you should fill in the denominator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:31:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:32:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:32:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:32:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 2 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:32:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x = -10/9 strategic 1 BUG rf x = -10/9 strategic You already solved the equation. x is -10/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:32:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 5-4y strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:33:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-5 = 5-4y-5 strategic 1 OK typein 2-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:33:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-5 = 5-4y-5 strategic 2 OK typein 5-4y-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:33:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-5 = 5-4y-5 strategic 3 OK clt 2-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:33:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 5-4y-5 strategic 1 OK clt 5-4y-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 5 5
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 5, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 BUG -4y -4y
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4y, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 OK -4y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:34:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 3 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:35:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -4y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:35:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:35:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -4y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:35:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:36:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-4 = -4y/-4 strategic 1 OK typein -3/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:36:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-4 = -4y/-4 strategic 2 OK typein -4y/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:36:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-4 = -4y/-4 strategic 3 OK rf -3/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:36:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-4 = -4y/-4 strategic 4 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:36:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/-4 = -4y/-4 strategic 5 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 1 BUG x x
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 1 BUG 1 1
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 2 BUG -4 -4
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:37:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:38:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-6y = -2 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:38:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-6y-1 = -2-1 strategic 1 ERROR typein 1-6y-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:38:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-6y-1 = -2-1 strategic 2 OK typein 1-6y-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:38:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-6y-1 = -2-1 strategic 3 OK typein -2-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:38:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-6y-1 = -2-1 strategic 4 OK clt 1-6y-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 1 1
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 1, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:39:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = -2-1 strategic 1 ERROR divide -6y default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:40:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = -2-1 strategic 2 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:40:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 1 OK typein -6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:40:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 2 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:41:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 3 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:41:28.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:41:30.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 5 NEXT_HINT Type in (-2-1)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:43:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 6 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:43:48.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:43:49.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 8 NEXT_HINT Type in (-2-1)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:43:50.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 9 NEXT_HINT Divide by -6 on the right side. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:43:53.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 10 NEXT_HINT Type in (-2-1)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:45:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 11 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:45:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 12 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:46:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = -2-1 strategic 3 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:47:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 13 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:47:50.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 14 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:47:51.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 15 NEXT_HINT Type in -6y/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:48:00.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 16 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:48:02.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 17 NEXT_HINT Type in -6y/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:49:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 18 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:49:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 19 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:49:24.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 20 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:49:26.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 21 NEXT_HINT Type in -6y/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:49:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 22 BUG typein 6y/-6 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:49:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 23 OK typein -6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:50:05.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 24 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:50:06.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 25 NEXT_HINT Type in (-2-1)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 26 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:51:38.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 27 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:51:39.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 28 NEXT_HINT Type in (-2-1)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:52:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 29 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:53:33.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 30 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:53:35.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 31 NEXT_HINT Type in (-2-1)/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session45 2005-12-21 08:55:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = (-2-1)/-6 strategic 32 ERROR typein -2-1/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:15:34.0 HINT HINT ES_02 ES_02-6 EG40 8 = -9x-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:15:36.0 HINT HINT ES_02 ES_02-6 EG40 8 = -9x-6 strategic 2 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:15:40.0 HINT HINT ES_02 ES_02-6 EG40 8 = -9x-6 strategic 3 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:16:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = -9x-6 strategic 4 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:16:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = -9x-6+6 strategic 1 OK typein 8+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:17:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = -9x-6+6 strategic 2 BUG typein 9X-6+6 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:17:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = -9x-6+6 strategic 3 OK typein -9X-6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = -9x-6+6 strategic 4 OK clt -9x-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -9x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -9X default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR X default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:18:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -9X default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:19:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+6 = -9X strategic 1 OK clt 8+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:19:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 14 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:19:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14 = -9X strategic 1 BUG divide 9 In this equation, x is multiplied by -9. Dividing by 9 leaves -x, so you still need to remove the negative sign. It is better to divide by -9, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:19:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14 = -9X strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:20:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-9 = -9X/-9 strategic 1 OK typein 14/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:20:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-9 = -9X/-9 strategic 2 OK typein -9X/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-9 = -9X/-9 strategic 3 OK rf 14/-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-9 = -9X/-9 strategic 4 OK rf -9X/-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 14/-9 = -9X/-9 strategic 5 OK rf -9X/-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 ERROR 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:21:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 BUG X x
Perhaps you should fill in the denominator of the x factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 BUG X X
Perhaps you should fill in the denominator of the X factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:22:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x = 2 strategic 1 BUG add -7 To remove -7 from the left side, you can add a positive to it. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:23:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x = 2 strategic 2 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:23:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x+7 = 2+7 strategic 1 ERROR typein -7+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:24:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x = 2 strategic 3 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:24:17.0 HINT HINT ES_02 ES_02-6 EG40 -7+6x+7 = 2+7 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:24:18.0 HINT HINT ES_02 ES_02-6 EG40 -7+6x+7 = 2+7 strategic 3 NEXT_HINT Type in -7+6x+7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:24:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x+7 = 2+7 strategic 4 OK typein -7+6X+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:24:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x+7 = 2+7 strategic 5 OK typein 2+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+6x+7 = 2+7 strategic 6 OK clt -7+6x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG -7 -7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 6X default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:25:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 6X+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:26:14.0 HINT HINT ES_02 ES_02-6 EG40 6X+0 = 2+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:26:15.0 HINT HINT ES_02 ES_02-6 EG40 6X+0 = 2+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:26:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X+0 = 2+7 strategic 3 OK clt 2+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:26:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:26:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X+0 = 9 strategic 1 ERROR divide 6X default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X+0 = 9 strategic 2 ERROR divide 6X+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:33.0 HINT HINT ES_02 ES_02-6 EG40 6X+0 = 9 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:33.0 HINT HINT ES_02 ES_02-6 EG40 6X+0 = 9 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X+0 = 9 strategic 5 OK clt 6X+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK 6X default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:27:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK 6X default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 6X default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X = 9 strategic 1 BUG divide 6X Dividing anything by itself will leave 1. If you divide 6X by 6, x will be left. Erase your last step and then divide by 6. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:41.0 HINT HINT ES_02 ES_02-6 EG40 6X/(6X) = 9/(6X) strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:48.0 HINT HINT ES_02 ES_02-6 EG40 6X = 9 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:49.0 HINT HINT ES_02 ES_02-6 EG40 6X = 9 strategic 3 NEXT_HINT 6X is 6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:28:53.0 HINT HINT ES_02 ES_02-6 EG40 6X = 9 strategic 4 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:29:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X = 9 strategic 5 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:29:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X/6 = 9/6 strategic 1 OK typein 6X/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:29:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X/6 = 9/6 strategic 2 OK typein 9/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:29:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X/6 = 9/6 strategic 3 OK rf 6X/6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6X/6 = 9/6 strategic 4 OK rf 6X/6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 ERROR 6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:30:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:31:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -9-7x strategic 1 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:31:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -9-7x strategic 2 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:31:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+9 = -9-7x+9 strategic 1 OK typein 3+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+9 = -9-7x+9 strategic 2 OK typein -9-7X+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+9 = -9-7x+9 strategic 3 OK clt -9-7x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG -9 -9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -9, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK -7x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -7x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -7x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+9 = -7x strategic 1 OK clt 3+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:32:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:33:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:33:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/-7 = -7x/-7 strategic 1 OK typein 12/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:33:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/-7 = -7x/-7 strategic 2 OK typein -7x/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:34:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/-7 = -7x/-7 strategic 3 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:34:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 12/-7 = -7x/-7 strategic 4 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:34:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:34:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = -9x-8 strategic 1 BUG add -9 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:35:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = -9x-8 strategic 2 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:35:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+8 = -9x-8+8 strategic 1 OK typein -9+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:35:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+8 = -9x-8+8 strategic 2 OK typein -9x-8+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+8 = -9x-8+8 strategic 3 OK clt -9x-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK -9x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -9x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -9x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:36:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+8 = -9x strategic 1 OK clt -9+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:37:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -17 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:37:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 17 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:37:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 16 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:37:29.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT 16 In the group above, you have [-9]+[8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:37:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR -16 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:37:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+8 = -9x strategic 2 OK clt -9+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:38:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:38:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:38:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-9 = -9x/-9 strategic 1 OK typein -1/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:38:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-9 = -9x/-9 strategic 2 OK typein -9x/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:39:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-9 = -9x/-9 strategic 3 OK rf -1/-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:39:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-9 = -9x/-9 strategic 4 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:39:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/-9 = -9x/-9 strategic 5 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:39:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:39:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:40:16.0 HINT HINT ES_02 ES_02-7 EG41 -8 = 8+(y/-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:40:18.0 HINT HINT ES_02 ES_02-7 EG41 -8 = 8+(y/-2) strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:40:21.0 HINT HINT ES_02 ES_02-7 EG41 -8 = 8+(y/-2) strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:40:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = 8+(y/-2) strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:40:47.0 HINT HINT ES_02 ES_02-7 EG41 -8-8 = 8+(y/-2)-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:40:48.0 HINT HINT ES_02 ES_02-7 EG41 -8-8 = 8+(y/-2)-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-8 = 8+(y/-2)-8 strategic 3 OK clt -8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = 8+(y/-2)-8 strategic 1 OK clt 8+(y/-2)-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = y/-2 strategic 1 ERROR divide y default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:35.0 HINT HINT ES_02 ES_02-7 EG41 -16 = y/-2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:36.0 HINT HINT ES_02 ES_02-7 EG41 -16 = y/-2 strategic 3 NEXT_HINT In y/-2, y is divided by -2. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:41.0 HINT HINT ES_02 ES_02-7 EG41 -16 = y/-2 strategic 4 NEXT_HINT Multiply both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = y/-2 strategic 5 ERROR mt -16 = y/-2 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:41:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = y/-2 strategic 6 BUG multiply 2 Multiplying by 2 will leave -y. It is better to multiply by -2, because that will leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:42:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16 = y/-2 strategic 7 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:42:26.0 HINT HINT ES_02 ES_02-7 EG41 -16*-2 = y/-2*-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:42:27.0 HINT HINT ES_02 ES_02-7 EG41 -16*-2 = y/-2*-2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:42:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -16*-2 = y/-2*-2 strategic 3 OK mt -16*-2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:42:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 32 = y/-2*-2 strategic 1 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:43:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/2-6 strategic 1 BUG subtract -8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:43:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/2-6 strategic 2 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:43:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-(-6) = x/2-6-(-6) strategic 1 OK clt -8-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:43:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/2-6-(-6) strategic 1 OK clt x/2-6-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:44:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:44:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*2 = x/2*2 strategic 1 OK mt -2*2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:44:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/2*2 strategic 1 OK mt x/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:44:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-2 = 5 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:45:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-2 = 5 strategic 2 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:45:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-2-(-2) = 5-(-2) strategic 1 OK clt x/-2-2-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:45:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 5-(-2) strategic 1 OK clt 5-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:45:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 7 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:45:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2*-2 = 7*-2 strategic 1 OK mt x/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:45:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 7*-2 strategic 1 OK mt 7*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:46:02.0 HINT HINT ES_02 ES_02-7 EG41 x = -14 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:46:04.0 HINT HINT ES_02 ES_02-7 EG41 x = -14 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:46:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-6+5 strategic 1 BUG subtract 8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:46:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-6+5 strategic 2 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:46:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8-5 = y/-6+5-5 strategic 1 OK clt 8-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:47:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = y/-6+5-5 strategic 1 OK clt y/-6+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:47:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = y/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:47:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*-6 = y/-6*-6 strategic 1 OK mt 3*-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:47:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -18 = y/-6*-6 strategic 1 OK mt y/-6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:48:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/6-7 strategic 1 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:48:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6-(-7) = y/6-7-(-7) strategic 1 OK clt -6-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:48:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/6-7-(-7) strategic 1 OK clt y/6-7-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:48:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:48:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*6 = y/6*6 strategic 1 OK mt 1*6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:49:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/6*6 strategic 1 OK mt y/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:49:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8+(x/-2) = -9 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:49:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8+(x/-2)-8 = -9-8 strategic 1 OK clt 8+(x/-2)-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:49:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = -9-8 strategic 1 OK clt -9-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:50:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = -17 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:50:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2*-2 = -17*-2 strategic 1 OK mt x/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:50:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -17*-2 strategic 1 OK mt -17*-2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:50:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/6-1 strategic 1 OK subtract -1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:50:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5-(-1) = x/6-1-(-1) strategic 1 OK clt 5-(-1) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:50:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = x/6-1-(-1) strategic 1 OK clt x/6-1-(-1) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:51:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = x/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:51:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*6 = x/6*6 strategic 1 OK mt 6*6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:51:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 36 = x/6*6 strategic 1 OK mt x/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:52:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9 = -9+y/8 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:52:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-(-9) = -9+y/8-(-9) strategic 1 BUG typein -9-9 -9-9 is equal to -9 plus -9. You need to calculate -9 minus -9. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:52:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-(-9) = -9+y/8-(-9) strategic 2 OK typein -9--9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:52:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-(-9) = -9+y/8-(-9) strategic 3 BUG typein -9+y/8-9 -9+y/8-9 is equal to -9+y/8 plus -9. You need to calculate -9+y/8 minus -9. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9-(-9) = -9+y/8-(-9) strategic 4 OK typein -9+y/8--9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -9+9 = -9+y/8+9 strategic 1 OK clt -9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -9+y/8+9 strategic 1 OK clt -9+y/8+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:53:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:54:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:54:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:54:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK y/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:54:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/8 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:55:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*8 = y/8*8 strategic 1 OK typein 0*8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:55:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*8 = y/8*8 strategic 2 ERROR typein y/8*8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:55:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*8 = y/8*8 strategic 3 ERROR typein y/8*8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session46 2006-01-04 08:56:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/8 strategic 2 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:27:47.0 HINT HINT ES_02 ES_02-8 EG41 -2 = -8+(x/-3) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:27:49.0 HINT HINT ES_02 ES_02-8 EG41 -2 = -8+(x/-3) strategic 2 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:27:53.0 HINT HINT ES_02 ES_02-8 EG41 -2 = -8+(x/-3) strategic 3 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:28:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = -8+(x/-3) strategic 4 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:28:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+8 = -8+(x/-3)+8 strategic 1 OK typein -2+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:28:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+8 = -8+(x/-3)+8 strategic 2 OK typein -8+x/-3+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:28:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+8 = -8-x/3+8 strategic 1 OK clt -2+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -8-x/3+8 strategic 1 OK clt -8-x/3+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG -8 -8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -8, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 3 OK -x/3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:29:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK -x/3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -x/3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -x/3 strategic 1 ERROR divide 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:38.0 HINT HINT ES_02 ES_02-8 EG41 6 = -x/3 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:39.0 HINT HINT ES_02 ES_02-8 EG41 6 = -x/3 strategic 3 NEXT_HINT In -x/3, x is multiplied by -1/3. How do you change the -1/3 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:30:43.0 HINT HINT ES_02 ES_02-8 EG41 6 = -x/3 strategic 4 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -3/1, which is the same as mulitplying by -3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -8-x/3+8 strategic 2 OK clt -8-x/3+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK -x/3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK +8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -x/3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:36.0 HINT HINT ES_02 ES_02-8 EG41 6 = -x/3 strategic 5 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:37.0 HINT HINT ES_02 ES_02-8 EG41 6 = -x/3 strategic 6 NEXT_HINT In -x/3, x is multiplied by -1/3. How do you change the -1/3 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:31:40.0 HINT HINT ES_02 ES_02-8 EG41 6 = -x/3 strategic 7 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -3/1, which is the same as mulitplying by -3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:32:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -x/3 strategic 8 OK multiply -3/1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:32:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = -x/3 strategic 9 OK multiply -3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:32:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*-3 = -x/3*-3 strategic 1 OK typein 6*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*-3 = -x/3*-3 strategic 2 ERROR typein -x/3*-3*6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:33:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*-3 = -x/3*-3 strategic 3 ERROR typein -x/3*-3*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:33:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*-3 = -x/3*-3 strategic 4 OK typein -x/3*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*-3 = -x/3*-3 strategic 5 OK mt 6*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:34:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 2 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:34:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:34:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = -x/3*-3 strategic 1 OK mt -x/3*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:01.0 HINT HINT ES_02 ES_02-8 EG41 -18 = -x/3*-3 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:02.0 HINT HINT ES_02 ES_02-8 EG41 -18 = -x/3*-3 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -18 = -x/3*-3 strategic 4 OK mt -x/3*-3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -10+(y/-8) strategic 1 ERROR clt 0 = -10+(y/-8) strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:42.0 HINT HINT ES_02 ES_02-8 EG41 0 = -10+(y/-8) strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:43.0 HINT HINT ES_02 ES_02-8 EG41 0 = -10+(y/-8) strategic 3 NEXT_HINT -10 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:35:47.0 HINT HINT ES_02 ES_02-8 EG41 0 = -10+(y/-8) strategic 4 NEXT_HINT You can add 10 to both sides of the equation to eliminate the constant value of -10 (-10 + 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:36:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -10+(y/-8) strategic 5 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:36:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+10 = -10+(y/-8)+10 strategic 1 OK typein 0+10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:36:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+10 = -10+(y/-8)+10 strategic 2 OK typein -10+y/-8+10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:36:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0+10 = -10-y/8+10 strategic 1 OK clt 0+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:36:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = -10-y/8+10 strategic 1 OK clt -10-y/8+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK -y/8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +10 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK y/-8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK -y/8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:37:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = y/-8 strategic 1 BUG divide -8 To remove the coefficient of y/-8, you need to divide by 1/-8 or multiply by -8. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:38:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = y/-8 strategic 2 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:38:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*-8 = y/-8*-8 strategic 1 OK typein 10*-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:38:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*-8 = y/-8*-8 strategic 2 OK typein y/-8*-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:38:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*-8 = y/-8*-8 strategic 3 OK mt 10*-8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -80 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -80 = y/-8*-8 strategic 1 ERROR clt -80 = y/-8*-8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:30.0 HINT HINT ES_02 ES_02-8 EG41 -80 = y/-8*-8 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:31.0 HINT HINT ES_02 ES_02-8 EG41 -80 = y/-8*-8 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -80 = y/-8*-8 strategic 4 OK mt y/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 BUG x x
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:39:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:40:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/2 = -9 strategic 1 BUG add 4 Since 4 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:40:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/2 = -9 strategic 2 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:40:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/2-4 = -9-4 strategic 1 OK typein 4+y/2-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:40:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/2-4 = -9-4 strategic 2 OK typein -9-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:41:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+y/2-4 = -9-4 strategic 3 OK clt 4+y/2-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:41:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:41:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:41:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:41:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:41:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2 = -9-4 strategic 1 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:42:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = (-9-4)*2 strategic 1 OK typein y/2*2 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:42:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = (-9-4)*2 strategic 2 OK typein (-9-4)*2 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = (-9-4)*2 strategic 3 OK mt y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = (-9-4)*2 strategic 1 OK clt -9-4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:43:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -13 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:44:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y = -13*2 strategic 1 OK mt -13*2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:44:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR 26 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:44:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -26 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 2 strategic 1 ERROR divide 9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:11.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 2 strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:12.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 2 strategic 3 NEXT_HINT 9/y is 9 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 2 strategic 4 BUG multiply 9 To remove the coefficient of 9/y, you need to divide. Erase your last step and then divide both sides by 9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 2 strategic 5 ERROR divide 9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:45.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 2 strategic 6 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:45.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 2 strategic 7 NEXT_HINT 9/y is 9 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:45:49.0 HINT HINT ES_02 ES_02-9 EG44 9/y = 2 strategic 8 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:46:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 2 strategic 9 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:46:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = 2 strategic 10 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:46:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = 2y strategic 1 OK mt 9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:46:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 2y strategic 1 ERROR mt 9 = 2y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:46:44.0 HINT HINT ES_02 ES_02-9 EG44 9 = 2y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:46:45.0 HINT HINT ES_02 ES_02-9 EG44 9 = 2y strategic 3 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:47:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 2y strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:47:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/2 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:47:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 7/x strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:47:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 7/x strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:48:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = 7/x*x strategic 1 OK mt 7/x*x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:48:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x = 7 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:48:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6x/-6 = 7/-6 strategic 1 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:48:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = 6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:49:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x*x = 6x strategic 1 OK mt 4/x*x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:49:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:49:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/6 = 6x/6 strategic 1 OK rf 4/6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:49:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/3 = 6x/6 strategic 1 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:50:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/y = 2 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:50:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/y*y = 2y strategic 1 OK mt 4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:50:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:50:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/2 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:50:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/y = -4 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:51:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/y*y = -4y strategic 1 OK mt 6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:51:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:51:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/-4 = -4y/-4 strategic 1 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:52:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x = 3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:52:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 3x strategic 1 OK typein -3/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:52:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 3x strategic 2 OK typein 3*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 3x strategic 3 OK mt -3/x*x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG x x
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 3x strategic 4 OK mt -3/x*x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -3/1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR -3/1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:48.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 INITIAL_HINT -3/1 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:53:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 5 ERROR -3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 6 OK -3x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -3x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -3x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:23.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT -3x Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK -3x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x/x = 3x strategic 1 ERROR mt -3x/x = 3x strategic default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:53.0 HINT HINT ES_02 ES_02-10 EG44 -3x/x = 3x strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:54:54.0 HINT HINT ES_02 ES_02-10 EG44 -3x/x = 3x strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x/x = 3x strategic 4 OK rf -3x/x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x/x = 3x strategic 5 OK rf -3x/x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR -3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:55:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session47 2006-01-06 08:56:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:16:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y = -1 strategic 1 BUG subtract -1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:17:16.0 HINT HINT ES_02 ES_02-10 EG44 -9/y = -1 strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:17:17.0 HINT HINT ES_02 ES_02-10 EG44 -9/y = -1 strategic 3 NEXT_HINT -9/y is -9 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:17:21.0 HINT HINT ES_02 ES_02-10 EG44 -9/y = -1 strategic 4 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:17:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y = -1 strategic 5 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:17:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -1y strategic 1 OK typein -9/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -1y strategic 2 OK typein -1*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/y*y = -1y strategic 3 OK mt -9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG y y
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:25.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -9y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG -9y -9y
Perhaps you should fill in the denominator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -9y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:18:52.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT -9y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR -9/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -9y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:40.0 HINT HINT ES_02 ES_02-10 EG44 -9y/y = -1y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:41.0 HINT HINT ES_02 ES_02-10 EG44 -9y/y = -1y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9y/y = -1y strategic 3 OK rf -9y/y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9y/y = -1y strategic 4 OK rf -9y/y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:19:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 BUG y y
Perhaps you should fill in the denominator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 BUG -9 -9
Perhaps you should fill in the denominator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:20:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 14 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 15 ERROR -9y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:18.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 16 INITIAL_HINT -9y Above is the simplified form of the expression -9y/y. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 17 OK -9 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:36.0 HINT HINT ES_02 ES_02-10 EG44 -9 = -1y strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:38.0 HINT HINT ES_02 ES_02-10 EG44 -9 = -1y strategic 2 NEXT_HINT -1y is -1 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:21:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = -1y strategic 3 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:22:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/-1 = -1y/-1 strategic 1 OK typein -9/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:22:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/-1 = -1y/-1 strategic 2 OK typein -1y/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:22:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/-1 = -1y/-1 strategic 3 OK rf -9/-1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:22:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/-1 = -1y/-1 strategic 4 OK rf -1y/-1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:22:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 18 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:23:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y = -4 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:23:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y*y = -4y strategic 1 OK typein 4/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:23:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y*y = -4y strategic 2 OK typein -4*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:24:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/y*y = -4y strategic 3 OK mt 4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:24:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:24:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:24:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:24:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:24:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-4 = -4y/-4 strategic 1 OK typein 4/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-4 = -4y/-4 strategic 2 OK typein -4y/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-4 = -4y/-4 strategic 3 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/-4 = -4y/-4 strategic 4 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 BUG -4 -4
Perhaps you should fill in the common factor between the numerator and denominator of [-4]/[-4]. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 BUG 1 1
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:25:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:26:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 BUG y y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:26:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:26:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:26:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 Fx8d98DRud session48 2006-01-11 08:26:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 3 OK time default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 INITIAL_HINT You need to enter a unit for measuring time spent taking lessons. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 2 NEXT_HINT What would you say if you were measuring time spent taking lessons? You would count one hour, two hours, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 3 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 INITIAL_HINT Define a variable for time spent taking lessons. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent time spent taking lessons. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:30.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 4 OK l default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:42.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:43.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 3 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:49.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 3 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:41:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT How many hours does it take to get total cost of scuba lessons to be 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT If you were given time spent taking lessons (the input) and you wanted to find total cost of scuba lessons (the output), you would perform one or more operations on time spent taking lessons. Since you are given total cost of scuba lessons, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:03.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:16.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 INITIAL_HINT 192 When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 3 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:34.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 INITIAL_HINT You need to enter a unit for measuring total cost of scuba lessons. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:36.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 2 NEXT_HINT What would you say if you were measuring total cost of scuba lessons? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 INITIAL_HINT Enter an expression to calculate total cost of scuba lessons using time spent taking lessons. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:41.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 NEXT_HINT First consider the initial value of total cost of scuba lessons. Next consider how total cost of scuba lessons will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of total cost of scuba lessons plus the change in total cost of scuba lessons for each hour times time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:42:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 4 NEXT_HINT Write an expression that means the same thing as 90.75 dollars plus 25.5 times time spent taking lessons. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:18.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 5 NEXT_HINT Enter 90.75 plus 25.5L HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 6 ERROR 90.76+25.5; default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 7 ERROR 90.76+25.5l default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 8 OK 90.75+25.5L default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:52.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 INITIAL_HINT 192 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:53.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 NEXT_HINT You know that the expression 25.5L + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5L + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:43:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5L + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 12 NEXT_HINT Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:07.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 INITIAL_HINT Read the problem statement. What information is given in question 3 about total cost of scuba lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:07.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 NEXT_HINT Important information about total cost of scuba lessons is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 13 INITIAL_HINT 192 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 14 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:13.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 15 INITIAL_HINT 192 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 16 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 17 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:22.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 3 INITIAL_HINT Important information about total cost of scuba lessons is highlighted for you in question 3 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:22.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 4 NEXT_HINT Type total cost of scuba lessons, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:37.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 5 INITIAL_HINT Type total cost of scuba lessons, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 6 ERROR 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 7 ERROR 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 8 INITIAL_HINT 75 Type total cost of scuba lessons, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 9 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:01.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 INITIAL_HINT You are given a value for time spent taking lessons. Find total cost of scuba lessons. HINT 1 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:01.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 2 NEXT_HINT You are given a value for time spent taking lessons. Find total cost of scuba lessons by calculating 25.5 times time spent taking lessons plus 90.75. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:34.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:35.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 3 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 18 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:45:57.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 19 INITIAL_HINT 192 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 20 ERROR 25.5L+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 21 INITIAL_HINT 25.5L+90.75=192.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 22 ERROR 167.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 INITIAL_HINT 2,385.75 Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:46:43.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 23 ERROR 2,385.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:14.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 8 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:22.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 24 INITIAL_HINT 2,385.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 25 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5L + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:28.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 26 NEXT_HINT Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 27 ERROR 90.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 28 ERROR 25.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:47:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 29 INITIAL_HINT 25.5 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:48:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 9 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:48:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 30 ERROR 2,385.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:48:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 10 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:48:22.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 31 INITIAL_HINT 2,385.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:48:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 32 INITIAL_HINT 2,385.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:49:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 33 INITIAL_HINT 2,385.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:49:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 34 INITIAL_HINT 2,385.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:50:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 35 ERROR 2,385.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 36 ERROR 2,385.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:50:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 37 BUG 192.75 192.75
You entered 192.75 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:50:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 38 BUG 192.75 192.75
You entered 192.75 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:50:31.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 39 INITIAL_HINT 192.75 Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:50:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 40 BUG 192.75 192.75
You entered 192.75 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:08.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 41 NEXT_HINT You know that the expression 25.5L + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5L + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 42 INITIAL_HINT 192.75 You know that the expression 25.5L + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5L + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:25.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 43 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5L + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:27.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 44 NEXT_HINT Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:47.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5L+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:49.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+90.75 = 192.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:50.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+90.75 = 192.75 strategic 2 NEXT_HINT 90.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 90.75 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:51:54.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+90.75 = 192.75 strategic 3 NEXT_HINT You can subtract 90.75 from both sides of the equation to eliminate the constant value of 90.75 (90.75 - 90.75 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+90.75 = 192.75 strategic 4 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:18.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 2 NEXT_HINT 88.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 88.75 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 3 NEXT_HINT You can subtract 88.75 from both sides of the equation to eliminate the constant value of 88.75 (88.75 - 88.75 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:45.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 5 NEXT_HINT 88.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 88.75 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:52:50.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 6 NEXT_HINT You can subtract 88.75 from both sides of the equation to eliminate the constant value of 88.75 (88.75 - 88.75 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L+88.75 = 190.75 strategic 7 OK subtract 88.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:04.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L = 102 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:05.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L = 102 strategic 2 NEXT_HINT 25.5L is 25.5 times L. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:08.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L = 102 strategic 3 NEXT_HINT Divide both sides by 25.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5L = 102 strategic 4 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:15.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR L = 4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 45 ERROR L4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 46 ERROR L4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR L = 4 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:30.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 47 ERROR L4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:30.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 48 INITIAL_HINT L4 Since the general expression for total cost of scuba lessons is 25.5L + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:31.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 49 NEXT_HINT Solve the equation 25.5L + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 50 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:38.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 11 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:53:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 12 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 13 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 14 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 15 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:17.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 16 INITIAL_HINT 2,385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 17 BUG 4 4
You entered 4 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:25.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 18 INITIAL_HINT 4 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 19 BUG 4 4
You entered 4 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:32.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 20 INITIAL_HINT 4 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session19 2005-11-23 08:54:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 21 BUG 4 4
You entered 4 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:15:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 INITIAL_HINT 4 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:15:58.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 INITIAL_HINT 2,385.75 Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 BUG 2,385.75 2,385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:43.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 INITIAL_HINT 2,385.75 Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:47.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 8 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:16:53.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 9 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:17:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 10 BUG time spent taking lessons time spent taking lessons
You entered TIME SPENT TAKING LESSONS in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:17:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 11 ERROR 90.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:17:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 12 ERROR 25.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:17:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 13 INITIAL_HINT 25.50 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:18:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 14 ERROR 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:18:45.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 15 INITIAL_HINT 0 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 16 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:02.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 17 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 18 ERROR .76 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:16.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 19 INITIAL_HINT .76 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:33.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 20 INITIAL_HINT .76 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 21 ERROR 92 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 22 BUG 2385.75 2385.75
You entered 2,385.75 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:19:59.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 23 INITIAL_HINT 2385.75 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 24 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:03.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 25 INITIAL_HINT 2385.75 Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:06.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 26 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:12.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 27 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:13.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 28 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 29 BUG 30 30
You entered 30 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 30 ERROR 90.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:20:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 31 ERROR 25.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:21:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 32 ERROR 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:21:02.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 33 INITIAL_HINT 330 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:21:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 34 ERROR 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:21:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 35 INITIAL_HINT 9 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:21:30.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 36 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:22:13.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 37 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:22:14.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 38 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:22:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 39 INITIAL_HINT 40 Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:24:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG 2385.75=90.75+25.5L 2385.75=90.75+25.5L
Please check to make sure that 2385.75=90.75+25.5L is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 2385.75 = 90.75+25.5L strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:01.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 2385.75 = 90.75+25.5L strategic 2 NEXT_HINT 90.75 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 90.75 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:04.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 2385.75 = 90.75+25.5L strategic 3 NEXT_HINT You can subtract 90.75 from both sides of the equation to eliminate the constant value of 90.75 (90.75 - 90.75 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 2385.75 = 90.75+25.5L strategic 4 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 2295 = 25.5L strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:24.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 2295 = 25.5L strategic 2 NEXT_HINT 25.5L is 25.5 times L. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:29.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 2295 = 25.5L strategic 3 NEXT_HINT Divide both sides by 25.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 2295 = 25.5L strategic 4 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:25:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 40 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 3 OK carpet default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the amount of carpet. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C1 2 NEXT_HINT What would you say if you were measuring the amount of carpet? You would count one square yard, two square yards, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 3 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C1 1 INITIAL_HINT Define a variable for the amount of carpet. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 4 OK y default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R4C1 2 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 3 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 2 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 3 ERROR 41 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 2 NEXT_HINT How many square yards does it take to get the cost of the carpet to be 388.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 4 ERROR 41 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 5 INITIAL_HINT 41 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 6 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:26:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 7 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 8 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 9 ERROR 40/1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 10 ERROR 41 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 11 INITIAL_HINT 41 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 12 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 3 INITIAL_HINT How many square yards does it take to get the cost of the carpet to be 388.5 dollars? HINT 2 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 4 NEXT_HINT If you were given the amount of carpet (the input) and you wanted to find the cost of the carpet (the output), you would perform one or more operations on the amount of carpet. Since you are given the cost of the carpet, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 5 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 2 NEXT_HINT How many square yards does it take to get the cost of the carpet to be 1036 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 3 NEXT_HINT If you were given the amount of carpet (the input) and you wanted to find the cost of the carpet (the output), you would perform one or more operations on the amount of carpet. Since you are given the cost of the carpet, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 13 INITIAL_HINT 41 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:27:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 14 INITIAL_HINT 41 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 15 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 16 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 3 OK carpet cost default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of the carpet. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C2 2 NEXT_HINT What would you say if you were measuring the cost of the carpet? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C2 1 INITIAL_HINT Write an expression that means the same as the cost of the carpet per square yard times the amount of carpet. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C2 2 NEXT_HINT Write an expression that means the same thing as $12.95 times the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:28:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C2 3 NEXT_HINT If the amount of carpet is Y, the amount of carpet times $12.95 is 12.95*Y HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:29:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 4 OK 12.95Y default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:29:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 17 INITIAL_HINT 41 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:29:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 1 ERROR 41 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:29:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 2 ERROR 41 1/2 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 3 OK carpet default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the amount of carpet. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C1 2 NEXT_HINT What would you say if you were measuring the amount of carpet? You would count one square yard, two square yards, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 3 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C1 1 INITIAL_HINT Define a variable for the amount of carpet. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 3 OK Y default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R4C1 2 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 3 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 ERROR 41 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 2 ERROR 41 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 3 INITIAL_HINT 41 Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 4 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 5 ERROR 41 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 3 OK carpet cost default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of the carpet. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R2C2 2 NEXT_HINT What would you say if you were measuring the cost of the carpet? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C2 1 INITIAL_HINT Write an expression that means the same as the cost of the carpet per square yard times the amount of carpet. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C2 2 NEXT_HINT Write an expression that means the same thing as $12.95 times the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:34:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 3 ERROR 12.95 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:35:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R3C2 4 NEXT_HINT If the amount of carpet is Y, the amount of carpet times $12.95 is 12.95*Y HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:35:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 5 OK 12.95Y default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:35:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 6 INITIAL_HINT 41 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:35:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 7 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 8 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:36:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 9 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:36:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 10 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:36:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 11 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 1 BUG 41=12.95Y 41=12.95Y
Please check to make sure that 41=12.95Y is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 41 = 12.95Y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 41 = 12.95Y strategic 2 NEXT_HINT 12.95Y is 12.95 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 41 = 12.95Y strategic 3 NEXT_HINT Divide both sides by 12.95. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 41 = 12.95Y strategic 4 ERROR divide 12.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 2 NEXT_HINT 1.0571Y is 1.0571 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 3 NEXT_HINT Divide both sides by 1.0571. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 5 NEXT_HINT 1.0571Y is 1.0571 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 6 NEXT_HINT Divide both sides by 1.0571. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 3.34693878 = 1.05714286Y strategic 7 OK divide 1.0571 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:37:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 3.16602316 = Y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 12 ERROR 3.166 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 1 INITIAL_HINT 388.5 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 388.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 2 NEXT_HINT You know that the expression 12.95Y represents the cost of the carpet. What value of the amount of carpet will make the general expression 12.95Y output the given value of 388.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 3 NEXT_HINT Since the general expression for the cost of the carpet is 12.95Y and since the cost of the carpet in this question is 388.5, set the two of them equal to find the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R6C1 4 NEXT_HINT Solve the equation 12.95Y = 388.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 2 OK 12.95Y=388.5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y = 388.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y = 388.5 strategic 2 NEXT_HINT 12.95Y is 12.95 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y = 388.5 strategic 3 NEXT_HINT Divide both sides by 12.95. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95Y = 388.5 strategic 4 ERROR divide 12.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 1.05714286Y = 31.71428571 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 1.05714286Y = 31.71428571 strategic 2 NEXT_HINT 1.0571Y is 1.0571 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:38:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 1.05714286Y = 31.71428571 strategic 3 NEXT_HINT Divide both sides by 1.0571. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 1.05714286Y = 31.71428571 strategic 4 OK divide 1.0571 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 Y = 29.99999991 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 5 OK 30.0 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 1 INITIAL_HINT 1036 dollars is the given output value in this question, because it depends on the amount of carpet. What value of the amount of carpet does it take to output 1036 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 2 NEXT_HINT You know that the expression 12.95Y represents the cost of the carpet. What value of the amount of carpet will make the general expression 12.95Y output the given value of 1036 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 3 NEXT_HINT Since the general expression for the cost of the carpet is 12.95Y and since the cost of the carpet in this question is 1036, set the two of them equal to find the amount of carpet. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R7C1 4 NEXT_HINT Solve the equation 12.95Y = 1036. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 3 OK 12.95Y=1036 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y = 1036 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y = 1036 strategic 2 NEXT_HINT 12.95Y is 12.95 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y = 1036 strategic 3 NEXT_HINT Divide both sides by 12.95. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:39:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95Y = 1036 strategic 4 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 Y = 80 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 5 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 1 INITIAL_HINT You are given a value for the amount of carpet. Find the cost of the carpet. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 2 NEXT_HINT You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 13 ERROR 3.166 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 14 INITIAL_HINT 3.166 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:40:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 15 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 16 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 17 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 18 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 19 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 20 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 21 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 22 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:41:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 23 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:42:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 24 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:42:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 25 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:43:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 26 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:43:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 27 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:43:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 28 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:44:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 29 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:44:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 30 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 31 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:44:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 32 INITIAL_HINT 12.95 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:44:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 33 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:44:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 34 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 4 BUG 12.95Y/40=1/2 12.95Y/40=1/2
Please check to make sure that 12.95Y/40=1/2 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 3 ERROR clt 12.95Y/40 = 1/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 5 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 6 OK rf 12.95Y/40 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 2 NEXT_HINT 0.3238Y is 0.3238 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 3 NEXT_HINT Divide both sides by 0.3238. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 5 NEXT_HINT 0.3238Y is 0.3238 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 6 NEXT_HINT Divide both sides by 0.3238. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 0.32375Y = 1/2 strategic 7 OK divide 0.3238 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 Y = 1.54440154 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 35 ERROR 1.5444 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:45:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 3 INITIAL_HINT You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 2 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 5 BUG (40/1)/2=12.95Y (40/1)/2=12.95Y
Please check to make sure that (40/1)/2=12.95Y is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 (40/1)/2 = 12.95Y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 (40/1)/2 = 12.95Y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 (40/1)/2 = 12.95Y strategic 3 OK rf 40/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 40/2 = 12.95Y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 40/2 = 12.95Y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 40/2 = 12.95Y strategic 3 OK rf 40/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 20 = 12.95Y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 20 = 12.95Y strategic 2 NEXT_HINT 12.95Y is 12.95 times Y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 20 = 12.95Y strategic 3 NEXT_HINT Divide both sides by 12.95. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 20 = 12.95Y strategic 4 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 1.54440154 = Y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 36 ERROR 1.5444 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:46:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 4 ERROR 1.5444 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 37 INITIAL_HINT 1.5444 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 38 INITIAL_HINT 1.5444 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 39 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 40 NEXT_HINT Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 41 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 42 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 43 ERROR 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 5 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 6 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 7 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 8 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 9 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 10 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 11 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 44 ERROR 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:47:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 45 INITIAL_HINT 1/2 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 46 INITIAL_HINT 1/2 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 47 ERROR 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 48 ERROR 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 49 ERROR 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 50 INITIAL_HINT 1/2 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 51 INITIAL_HINT 1/2 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 52 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 53 NEXT_HINT Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 54 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 55 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 56 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 57 NEXT_HINT Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:48:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 58 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 59 ERROR 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 12 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 13 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 60 ERROR 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 61 INITIAL_HINT 20 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 62 ERROR 60 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 14 INITIAL_HINT 1.5444 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 3 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 63 INITIAL_HINT 60 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 64 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 65 INITIAL_HINT 60 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 66 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 67 ERROR 12.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 68 ERROR 0.6475 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:50:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 6 BUG 12.95Y/40=1/2 12.95Y/40=1/2
Please check to make sure that 12.95Y/40=1/2 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:50:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:50:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95Y/40 = 1/2 strategic 8 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:50:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 69 INITIAL_HINT 0.6475 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:50:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 70 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:51:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 71 ERROR 518 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:51:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 15 ERROR 518 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:51:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 72 ERROR 518 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:51:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 73 INITIAL_HINT 518 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:52:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 74 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:52:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 75 NEXT_HINT Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:52:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 76 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:52:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 77 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:52:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 78 ERROR 518 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 7 BUG 12.95y=518 12.95y=518
Please check to make sure that 12.95y=518 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95y = 518 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95y = 518 strategic 2 NEXT_HINT 12.95y is 12.95 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 12.95y = 518 strategic 3 NEXT_HINT Divide both sides by 12.95. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95y = 518 strategic 4 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 y = 40 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 79 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 16 ERROR 40 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 80 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:53:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 81 INITIAL_HINT 40 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:54:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 82 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 83 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 84 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:54:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 85 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session20 2005-11-30 08:55:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 86 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 1 INITIAL_HINT 40 Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 2 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 3 ERROR 518 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 1 ERROR 40 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 4 ERROR 518.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 2 ERROR 40 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 3 INITIAL_HINT 40 You are given a value for the amount of carpet. Find the cost of the carpet. HINT 1 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 4 NEXT_HINT You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:40:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 5 ERROR 518.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 6 ERROR 518.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 5 ERROR 518 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 7 ERROR 518.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 6 INITIAL_HINT 518 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 2 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 8 ERROR 518.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 7 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 9 ERROR 518.95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 8 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 9 INITIAL_HINT 259 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 2 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 10 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:41:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 11 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 10 ERROR 40 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 11 INITIAL_HINT 40 1/2 Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 12 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 12 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 13 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 13 ERROR 40 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 14 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C2 15 INITIAL_HINT 259 You are given a value for the amount of carpet. Find the cost of the carpet by calculating 12.95 times the amount of carpet. HINT 2 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 16 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 17 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 14 INITIAL_HINT 40 1/2 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 15 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 18 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 16 ERROR 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:42:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 19 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 20 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 17 ERROR 40 .50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:43:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36 R5C1 18 INITIAL_HINT 40 .50 Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 21 ERROR 259 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 19 OK 40.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:31.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:32.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 3 OK amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:48.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the amount spent on long distance. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R2C1 2 NEXT_HINT What would you say if you were measuring the amount spent on long distance? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:58.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C1 1 INITIAL_HINT Define a variable for the amount spent on long distance. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:45:59.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the amount spent on long distance. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:02.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 4 OK P default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:08.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:08.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R4C1 2 NEXT_HINT Important information about the amount spent on long distance is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 3 OK 50.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:14.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:15.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 2 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 3 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 4 INITIAL_HINT 27.50 Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:26.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 5 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 6 OK 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:32.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:33.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 2 NEXT_HINT How many dollars does it take to get total number of travel points to be 46000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 3 BUG 46000 46000
You entered 46,000.00 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:47.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 4 INITIAL_HINT 46000 How many dollars does it take to get total number of travel points to be 46000 points? HINT 2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 5 NEXT_HINT If you were given the amount spent on long distance (the input) and you wanted to find total number of travel points (the output), you would perform one or more operations on the amount spent on long distance. Since you are given total number of travel points, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:46:56.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 6 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:08.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 2 NEXT_HINT How many dollars does it take to get total number of travel points to be 27000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:13.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 3 NEXT_HINT If you were given the amount spent on long distance (the input) and you wanted to find total number of travel points (the output), you would perform one or more operations on the amount spent on long distance. Since you are given total number of travel points, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:16.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:18.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:19.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 3 OK total points default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 1 INITIAL_HINT Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:25.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 2 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:30.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 4 BUG p p
You entered P in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:37.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 5 INITIAL_HINT p Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:39.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 6 NEXT_HINT Write an expression that means the same thing as 5000 plus 5 times the amount spent on long distance. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:41.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 7 NEXT_HINT Enter 5P + 5000 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 8 OK 5p+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 7 INITIAL_HINT 46000 46000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 46000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:53.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 8 NEXT_HINT You know that the expression 5P + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5P + 5000 output the given value of 46000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:47:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 9 NEXT_HINT Since the general expression for total number of travel points is 5P + 5000 and since total number of travel points in this question is 46000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:00.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 10 NEXT_HINT Solve the equation 5P + 5000 = 46000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 1 OK 5P+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:20.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 46000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:21.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 46000 strategic 2 NEXT_HINT 5000 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 46000 strategic 3 NEXT_HINT You can subtract 5000 from both sides of the equation to eliminate the constant value of 5000 (5000 - 5000 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 46000 strategic 4 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:41.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P = 41000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:46.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P = 41000 strategic 2 NEXT_HINT 5P is 5 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:52.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P = 41000 strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5P = 41000 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:48:59.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B P = 8200 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 1 BUG 8200 8200
You entered 8,200 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 2 BUG 8200 8200
You entered 8,200 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C2 3 INITIAL_HINT 8200 Read the problem statement. What information is given in question 3 about total number of travel points? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:10.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C2 4 NEXT_HINT Important information about total number of travel points is highlighted for you in question 3 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:14.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C2 5 NEXT_HINT Type total number of travel points into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 6 ERROR 4600 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 11 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:23.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C2 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about total number of travel points? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:24.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C2 2 NEXT_HINT Important information about total number of travel points is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 5 BUG 27000 27000
You entered 27,000.00 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 6 BUG 27000 27000
You entered 27,000.00 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C2 3 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 7 BUG 27000 27000
You entered 27,000.00 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:35.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 8 INITIAL_HINT 27000 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:38.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 9 NEXT_HINT You know that the expression 5P + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5P + 5000 output the given value of 27000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:41.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 10 NEXT_HINT Since the general expression for total number of travel points is 5P + 5000 and since total number of travel points in this question is 27000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:44.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R7C1 11 NEXT_HINT Solve the equation 5P + 5000 = 27000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 2 OK 5P+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 27000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:49:58.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 27000 strategic 2 NEXT_HINT 5000 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5000 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:01.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 27000 strategic 3 NEXT_HINT You can subtract 5000 from both sides of the equation to eliminate the constant value of 5000 (5000 - 5000 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5P+5000 = 27000 strategic 4 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P = 22000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:10.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P = 22000 strategic 2 NEXT_HINT 5P is 5 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:13.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B 5P = 22000 strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5P = 22000 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:19.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B P = 4400 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 12 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C1 3 NEXT_HINT Try typing in the phrase "the area to be constructed". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 4 OK area default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the area to be constructed. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C1 2 NEXT_HINT What would you say if you were measuring the area to be constructed? You would count one square foot, two square feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 3 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C1 1 INITIAL_HINT Define a variable for the area to be constructed. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:50:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the area to be constructed. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 4 OK a default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the area to be constructed? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R4C1 2 NEXT_HINT Important information about the area to be constructed is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 3 OK 1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the area to be constructed? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R5C1 2 NEXT_HINT Important information about the area to be constructed is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 3 ERROR 95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R5C1 4 INITIAL_HINT 95 Important information about the area to be constructed is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R5C1 5 NEXT_HINT Type the area to be constructed, measured in square feet into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 6 OK 255 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 2 NEXT_HINT How many square feet does it take to get the cost of construction to be 239250 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:51:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 3 NEXT_HINT If you were given the area to be constructed (the input) and you wanted to find the cost of construction (the output), you would perform one or more operations on the area to be constructed. Since you are given the cost of construction, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 2 NEXT_HINT How many square feet does it take to get the cost of construction to be 12049.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 3 NEXT_HINT If you were given the area to be constructed (the input) and you wanted to find the cost of construction (the output), you would perform one or more operations on the area to be constructed. Since you are given the cost of construction, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 3 OK cost default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of construction. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R2C2 2 NEXT_HINT What would you say if you were measuring the cost of construction? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C2 1 INITIAL_HINT Write an expression that means the same as the cost of construction per square foot times the area to be constructed. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C2 2 NEXT_HINT Write an expression that means the same thing as $43.50 times the area to be constructed. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R3C2 3 NEXT_HINT If the area to be constructed is A, the area to be constructed times $43.50 is 43.5*A HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 4 ERROR 4 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 5 OK 43.5A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 5 INITIAL_HINT 239250 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 239250 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 6 NEXT_HINT You know that the expression 43.5A represents the cost of construction. What value of the area to be constructed will make the general expression 43.5A output the given value of 239250 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 7 NEXT_HINT Since the general expression for the cost of construction is 43.5A and since the cost of construction in this question is 239250, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:52:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R6C1 8 NEXT_HINT Solve the equation 43.5A = 239250. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 1 OK 43.5A=239250 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B 43.5A = 239250 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B 43.5A = 239250 strategic 2 NEXT_HINT 43.5A is 43.5 times A. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B 43.5A = 239250 strategic 3 NEXT_HINT Divide both sides by 43.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5A = 239250 strategic 4 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B A = 5500 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 9 OK 5500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 4 INITIAL_HINT 12049.5 dollars is the given output value in this question, because it depends on the area to be constructed. What value of the area to be constructed does it take to output 12049.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 5 NEXT_HINT You know that the expression 43.5A represents the cost of construction. What value of the area to be constructed will make the general expression 43.5A output the given value of 12049.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 6 NEXT_HINT Since the general expression for the cost of construction is 43.5A and since the cost of construction in this question is 12049.5, set the two of them equal to find the area to be constructed. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B R7C1 7 NEXT_HINT Solve the equation 43.5A = 12049.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 2 OK 43.5A=12049.5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B 43.5A = 12049.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B 43.5A = 12049.5 strategic 2 NEXT_HINT 43.5A is 43.5 times A. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B 43.5A = 12049.5 strategic 3 NEXT_HINT Divide both sides by 43.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5A = 12049.5 strategic 4 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10B A = 277 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:53:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 8 OK 277 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:07.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 3 OK total students enorlled in Algebra default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C1 1 INITIAL_HINT Define a variable for the number of students in algebra. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the number of students in algebra. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C1 3 OK A default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:30.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the number of students in algebra? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:31.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R4C1 2 NEXT_HINT Important information about the number of students in algebra is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C1 3 OK 375 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the number of students in algebra? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:37.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R5C1 2 NEXT_HINT Important information about the number of students in algebra is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 3 OK 145 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:42.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:44.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 2 NEXT_HINT How many students does it take to get the number of students earning an A or B in Algebra to be 47 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 3 NEXT_HINT If you were given the number of students in algebra (the input) and you wanted to find the number of students earning an A or B in Algebra (the output), you would perform one or more operations on the number of students in algebra. Since you are given the number of students earning an A or B in Algebra, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:50.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:51.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 2 NEXT_HINT How many students does it take to get the number of students earning an A or B in Algebra to be 93 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:55.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 3 NEXT_HINT If you were given the number of students in algebra (the input) and you wanted to find the number of students earning an A or B in Algebra (the output), you would perform one or more operations on the number of students in algebra. Since you are given the number of students earning an A or B in Algebra, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:57.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R1C2 3 INITIAL_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:54:58.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R1C2 4 NEXT_HINT Try typing in the phrase "the number of students earning an A or B in Algebra". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:55:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 5 ERROR a or b default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session21 2005-12-02 08:55:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 6 OK students receiving an A or B default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:13:56.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 1 INITIAL_HINT Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:13:57.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 2 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:00.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 3 NEXT_HINT Write an expression that means the same thing as 20 percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 20 percent is the same as 0.2 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:07.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 5 NEXT_HINT Enter 0.2A. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 6 OK 0.2A default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 INITIAL_HINT 47 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 47 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 2 NEXT_HINT You know that the expression 0.2A represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.2A output the given value of 47 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 3 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.2A and since the number of students earning an A or B in Algebra in this question is 47, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:14:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R6C1 4 NEXT_HINT Solve the equation 0.2A = 47. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:15:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 1 OK 0.2A=47 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:15:44.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 47 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:15:44.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 47 strategic 2 NEXT_HINT 0.2A is 0.2 times A. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:15:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 47 strategic 3 NEXT_HINT Divide both sides by 0.2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:15:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 47 strategic 4 OK divide 0.2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:15:56.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B A = 235 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 1 BUG 235 235
You entered 235 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 5 OK 235 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 INITIAL_HINT 93 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 93 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 2 NEXT_HINT You know that the expression 0.2A represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.2A output the given value of 93 students? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 3 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.2A and since the number of students earning an A or B in Algebra in this question is 93, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:18.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R7C1 4 NEXT_HINT Solve the equation 0.2A = 93. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 2 OK 0.2A=93 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 93 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 93 strategic 2 NEXT_HINT 0.2A is 0.2 times A. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:32.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 93 strategic 3 NEXT_HINT Divide both sides by 0.2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2A = 93 strategic 4 OK divide 0.2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B A = 465 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C1 5 OK 465 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:52.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:16:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 3 OK the current pay default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the current salary. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:05.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C1 2 NEXT_HINT What would you say if you were measuring the current salary? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:10.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C1 1 INITIAL_HINT Define a variable for the current salary. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:11.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the current salary. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:19.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C1 4 OK r default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the current salary? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R4C1 2 NEXT_HINT Important information about the current salary is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R4C1 3 OK 17500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:39.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the current salary? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:43.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R5C1 2 NEXT_HINT Important information about the current salary is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 3 ERROR 4300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 4 OK 43000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 2 NEXT_HINT How many dollars does it take to get the raise to be 5000 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:17:57.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 3 NEXT_HINT If you were given the current salary (the input) and you wanted to find the raise (the output), you would perform one or more operations on the current salary. Since you are given the raise, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:01.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:05.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C2 3 OK raise default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the raise. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:10.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R2C2 2 NEXT_HINT What would you say if you were measuring the raise? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 3 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:16.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 1 INITIAL_HINT Enter an expression to calculate the raise using the current salary. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:16.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 2 NEXT_HINT What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:20.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 3 NEXT_HINT Write an expression that means the same thing as 5 percent of the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 5 percent is the same as 0.05 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:34.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 5 NEXT_HINT Enter 0.05R. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 6 OK 0.05R default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:39.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 5 INITIAL_HINT 5000 dollars is the given output value in this question, because it depends on the current salary. What value of the current salary does it take to output 5000 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 6 NEXT_HINT You know that the expression 0.05R represents the raise. What value of the current salary will make the general expression 0.05R output the given value of 5000 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:43.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 7 NEXT_HINT Since the general expression for the raise is 0.05R and since the raise in this question is 5000, set the two of them equal to find the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:18:47.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R6C1 8 NEXT_HINT Solve the equation 0.05R = 5000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 1 OK 0.05R=5000 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 5000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 5000 strategic 2 NEXT_HINT 0.05R is 0.05 times R. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:16.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 5000 strategic 3 NEXT_HINT Divide both sides by 0.05. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 5000 strategic 4 ERROR divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.1R = 10000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.1R = 10000 strategic 2 NEXT_HINT 0.1R is 0.1 times R. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.1R = 10000 strategic 3 NEXT_HINT Divide both sides by 0.1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.1R = 10000 strategic 4 OK divide 0.1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:35.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R = 100000 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 9 OK 100000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:41.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 1 INITIAL_HINT 3125 dollars is the given output value in this question, because it depends on the current salary. What value of the current salary does it take to output 3125 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:42.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 2 NEXT_HINT You know that the expression 0.05R represents the raise. What value of the current salary will make the general expression 0.05R output the given value of 3125 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 3 NEXT_HINT Since the general expression for the raise is 0.05R and since the raise in this question is 3125, set the two of them equal to find the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R7C1 4 NEXT_HINT Solve the equation 0.05R = 3125. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A ValidEquations 2 OK 0.05R=3125 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:59.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 3125 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:19:59.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 3125 strategic 2 NEXT_HINT 0.05R is 0.05 times R. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:03.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 3125 strategic 3 NEXT_HINT Divide both sides by 0.05. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A 0.05R = 3125 strategic 4 OK divide 0.05 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:10.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R = 62500 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C1 5 OK 62500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C1 3 OK the time worked default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the time worked. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R2C1 2 NEXT_HINT What would you say if you were measuring the time worked? You would count one hour, two hours, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R2C1 3 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C1 1 INITIAL_HINT Define a variable for the time worked. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the time worked. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C1 3 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the time worked? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R4C1 2 NEXT_HINT Important information about the time worked is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R4C1 3 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the time worked? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R5C1 2 NEXT_HINT Important information about the time worked is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 3 ERROR 10.1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R5C1 4 INITIAL_HINT 10.1 Important information about the time worked is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:20:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R5C1 5 NEXT_HINT Type the time worked, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 6 ERROR 10.12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 7 ERROR 10.12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R5C1 8 INITIAL_HINT 10.12 Type the time worked, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 9 ERROR 10.12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 2 NEXT_HINT How many hours does it take to get the money earned to be 550 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 10 OK 10.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 3 INITIAL_HINT How many hours does it take to get the money earned to be 550 dollars? HINT 2 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 4 NEXT_HINT If you were given the time worked (the input) and you wanted to find the money earned (the output), you would perform one or more operations on the time worked. Since you are given the money earned, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 5 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C2 3 OK total pay default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the money earned. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R2C2 2 NEXT_HINT What would you say if you were measuring the money earned? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C2 1 INITIAL_HINT Write an expression that means the same as the money earned per hour times the time worked. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:21:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C2 2 NEXT_HINT Write an expression that means the same thing as $10.50 times the time worked. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 3 ERROR w default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 4 ERROR w default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C2 5 INITIAL_HINT w Write an expression that means the same thing as $10.50 times the time worked. HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C2 6 NEXT_HINT If the time worked is P, the time worked times $10.50 is 10.5*P HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 7 BUG p p
You entered P in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C2 8 INITIAL_HINT p If the time worked is P, the time worked times $10.50 is 10.5*P HINT 3 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 9 ERROR h default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R3C2 10 INITIAL_HINT h If the time worked is P, the time worked times $10.50 is 10.5*P HINT 3 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 11 OK 10.5P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 6 INITIAL_HINT 550 dollars is the given output value in this question, because it depends on the time worked. What value of the time worked does it take to output 550 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 7 NEXT_HINT You know that the expression 10.5P represents the money earned. What value of the time worked will make the general expression 10.5P output the given value of 550 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 8 NEXT_HINT Since the general expression for the money earned is 10.5P and since the money earned in this question is 550, set the two of them equal to find the time worked. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R6C1 9 NEXT_HINT Solve the equation 10.5P = 550. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 ValidEquations 1 OK 10.5P=550 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 10.5P = 550 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 10.5P = 550 strategic 2 NEXT_HINT 10.5P is 10.5 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:22:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 10.5P = 550 strategic 3 NEXT_HINT Divide both sides by 10.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 10.5P = 550 strategic 4 OK divide 10.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 P = 52.38095238 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R6C1 10 OK 52.381 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R7C1 1 INITIAL_HINT 2200 dollars is the given output value in this question, because it depends on the time worked. What value of the time worked does it take to output 2200 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R7C1 2 NEXT_HINT You know that the expression 10.5P represents the money earned. What value of the time worked will make the general expression 10.5P output the given value of 2200 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R7C1 3 NEXT_HINT Since the general expression for the money earned is 10.5P and since the money earned in this question is 2200, set the two of them equal to find the time worked. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 R7C1 4 NEXT_HINT Solve the equation 10.5P = 2200. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 ValidEquations 2 OK 10.5P=2200 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 10.5P = 2200 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 10.5P = 2200 strategic 2 NEXT_HINT 10.5P is 10.5 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 10.5P = 2200 strategic 3 NEXT_HINT Divide both sides by 10.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 10.5P = 2200 strategic 4 OK divide 10.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T02 P = 209.52380952 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:23:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R7C1 5 OK 209.5238 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:03.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 3 OK gross default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:07.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 INITIAL_HINT You need to enter a unit for measuring the gross pay. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R2C1 2 NEXT_HINT What would you say if you were measuring the gross pay? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 INITIAL_HINT Define a variable for the gross pay. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the gross pay. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:21.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the gross pay. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 4 OK p default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the gross pay? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R4C1 2 NEXT_HINT Important information about the gross pay is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 3 OK 3000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:30.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the gross pay? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:31.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R5C1 2 NEXT_HINT Important information about the gross pay is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 3 OK 40000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:37.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:38.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 2 NEXT_HINT How many dollars does it take to get the take-home pay to be 3250 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:41.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 3 NEXT_HINT If you were given the gross pay (the input) and you wanted to find the take-home pay (the output), you would perform one or more operations on the gross pay. Since you are given the take-home pay, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 3 OK take-home default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 INITIAL_HINT You need to enter a unit for measuring the take-home pay. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:55.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R2C2 2 NEXT_HINT What would you say if you were measuring the take-home pay? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:58.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 INITIAL_HINT Enter an expression to calculate the take-home pay using the gross pay. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:24:59.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 2 NEXT_HINT What part of the gross pay is the take-home pay? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 3 NEXT_HINT Write an expression that means the same thing as 65 percent of the gross pay. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 4 BUG p p
You entered P in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 5 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 65 percent is the same as 0.65 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:18.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R3C2 6 NEXT_HINT Enter 0.65P. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 7 OK 0.65P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 5 INITIAL_HINT 3250 dollars is the given output value in this question, because it depends on the gross pay. What value of the gross pay does it take to output 3250 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 6 NEXT_HINT You know that the expression 0.65P represents the take-home pay. What value of the gross pay will make the general expression 0.65P output the given value of 3250 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 7 NEXT_HINT Since the general expression for the take-home pay is 0.65P and since the take-home pay in this question is 3250, set the two of them equal to find the gross pay. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:32.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R6C1 8 NEXT_HINT Solve the equation 0.65P = 3250. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B ValidEquations 1 OK 0.65P=3250 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 3250 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 3250 strategic 2 NEXT_HINT 0.65P is 0.65 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 3250 strategic 3 NEXT_HINT Divide both sides by 0.65. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 3250 strategic 4 OK divide 0.65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:25:59.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B P = 5000 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 9 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 INITIAL_HINT 1673.75 dollars is the given output value in this question, because it depends on the gross pay. What value of the gross pay does it take to output 1673.75 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R7C1 2 NEXT_HINT You know that the expression 0.65P represents the take-home pay. What value of the gross pay will make the general expression 0.65P output the given value of 1673.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R7C1 3 NEXT_HINT Since the general expression for the take-home pay is 0.65P and since the take-home pay in this question is 1673.75, set the two of them equal to find the gross pay. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:11.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B R7C1 4 NEXT_HINT Solve the equation 0.65P = 1673.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B ValidEquations 2 OK 0.65P=1673.75 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 1673.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 1673.75 strategic 2 NEXT_HINT 0.65P is 0.65 times P. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 1673.75 strategic 3 NEXT_HINT Divide both sides by 0.65. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B 0.65P = 1673.75 strategic 4 OK divide 0.65 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:35.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT05B P = 2575 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 5 OK 2575 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:48.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:49.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 3 OK the # of people default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:59.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:26:59.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:02.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R3C1 1 INITIAL_HINT Define a variable for people. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:03.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent people. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 3 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:07.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about people? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:07.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R4C1 2 NEXT_HINT Important information about people is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 3 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:12.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about people? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:14.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R5C1 2 NEXT_HINT Important information about people is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 3 OK 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:17.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:19.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 2 NEXT_HINT How many persons does it take to get the cost of the cake to be 120 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:23.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 3 NEXT_HINT If you were given people (the input) and you wanted to find the cost of the cake (the output), you would perform one or more operations on people. Since you are given the cost of the cake, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:26.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R1C2 3 INITIAL_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:26.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R1C2 4 NEXT_HINT Try typing in the phrase "the cost of the cake". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 5 OK the cost of the cake default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:36.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of the cake. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:37.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R2C2 2 NEXT_HINT What would you say if you were measuring the cost of the cake? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:42.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R3C2 1 INITIAL_HINT Write an expression that means the same as the cost of the cake per people times people. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:43.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R3C2 2 NEXT_HINT Write an expression that means the same thing as $0.75 times people. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:46.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R3C2 3 NEXT_HINT If people is C, people times $0.75 is 0.75*C HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 4 OK 0.75C default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:55.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 4 INITIAL_HINT 120 dollars is the given output value in this question, because it depends on people. What value of people does it take to output 120 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:27:56.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 5 NEXT_HINT You know that the expression 0.75C represents the cost of the cake. What value of people will make the general expression 0.75C output the given value of 120 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:02.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 6 NEXT_HINT Since the general expression for the cost of the cake is 0.75C and since the cost of the cake in this question is 120, set the two of them equal to find people. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:05.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R6C1 7 NEXT_HINT Solve the equation 0.75C = 120. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 1 OK 0.75C=120 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:16.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C 0.75C = 120 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:17.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C 0.75C = 120 strategic 2 NEXT_HINT 0.75C is 0.75 times C. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:21.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C 0.75C = 120 strategic 3 NEXT_HINT Divide both sides by 0.75. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75C = 120 strategic 4 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:29.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C C = 160 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 8 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:33.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R7C1 1 INITIAL_HINT 36.75 dollars is the given output value in this question, because it depends on people. What value of people does it take to output 36.75 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:34.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R7C1 2 NEXT_HINT You know that the expression 0.75C represents the cost of the cake. What value of people will make the general expression 0.75C output the given value of 36.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:37.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R7C1 3 NEXT_HINT Since the general expression for the cost of the cake is 0.75C and since the cost of the cake in this question is 36.75, set the two of them equal to find people. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:40.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C R7C1 4 NEXT_HINT Solve the equation 0.75C = 36.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 2 OK 0.75C=36.75 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:49.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C 0.75C = 36.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:49.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C 0.75C = 36.75 strategic 2 NEXT_HINT 0.75C is 0.75 times C. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:53.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C 0.75C = 36.75 strategic 3 NEXT_HINT Divide both sides by 0.75. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C 0.75C = 36.75 strategic 4 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:28:59.0 HINT HINT CTA1_04 CTA1_04-2 EMX03C C = 49 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 5 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:07.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:09.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R1C1 3 OK bill default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the restaurant bill. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R2C1 2 NEXT_HINT What would you say if you were measuring the restaurant bill? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R2C1 3 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:18.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C1 1 INITIAL_HINT Define a variable for the restaurant bill. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:19.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the restaurant bill. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R3C1 3 OK r default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the restaurant bill? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:23.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R4C1 2 NEXT_HINT Important information about the restaurant bill is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R4C1 3 OK 35.90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R5C1 1 INITIAL_HINT Enter the value for question 2 in dollars. HINT 1 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R5C1 2 NEXT_HINT You know that the restaurant bill is sixty-five dollars and forty-five cents. Convert 45 cents to dollars and then add 65 dollars. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R5C1 3 OK 65.45 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:42.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:43.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 2 NEXT_HINT How many dollars does it take to get the tip to be 7.2 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:48.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 3 NEXT_HINT If you were given the restaurant bill (the input) and you wanted to find the tip (the output), you would perform one or more operations on the restaurant bill. Since you are given the tip, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:51.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:52.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R1C2 3 OK tip default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:55.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the tip. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:56.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R2C2 2 NEXT_HINT What would you say if you were measuring the tip? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:29:59.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C2 1 INITIAL_HINT Enter an expression to calculate the tip using the restaurant bill. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:04.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C2 2 NEXT_HINT What part of the restaurant bill is the tip? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:07.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C2 3 NEXT_HINT Write an expression that means the same thing as 15 percent of the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:11.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C2 4 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 15 percent is the same as 0.15 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:14.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R3C2 5 NEXT_HINT Enter 0.15R. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R3C2 6 OK 0.15R default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:20.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 4 INITIAL_HINT 7.2 dollars is the given output value in this question, because it depends on the restaurant bill. What value of the restaurant bill does it take to output 7.2 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:20.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 5 NEXT_HINT You know that the expression 0.15R represents the tip. What value of the restaurant bill will make the general expression 0.15R output the given value of 7.2 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 6 NEXT_HINT Since the general expression for the tip is 0.15R and since the tip in this question is 7.2, set the two of them equal to find the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R6C1 7 NEXT_HINT Solve the equation 0.15R = 7.2. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 ValidEquations 1 OK 0.15R=7.2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:39.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 0.15R = 7.2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:39.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 0.15R = 7.2 strategic 2 NEXT_HINT 0.15R is 0.15 times R. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:43.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 0.15R = 7.2 strategic 3 NEXT_HINT Divide both sides by 0.15. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 0.15R = 7.2 strategic 4 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R = 48 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R6C1 8 OK 48 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R7C1 1 INITIAL_HINT 4.5 dollars is the given output value in this question, because it depends on the restaurant bill. What value of the restaurant bill does it take to output 4.5 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R7C1 2 NEXT_HINT You know that the expression 0.15R represents the tip. What value of the restaurant bill will make the general expression 0.15R output the given value of 4.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:30:56.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R7C1 3 NEXT_HINT Since the general expression for the tip is 0.15R and since the tip in this question is 4.5, set the two of them equal to find the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:00.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R7C1 4 NEXT_HINT Solve the equation 0.15R = 4.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 ValidEquations 2 OK 0.15R=4.5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 0.15R = 4.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:08.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 0.15R = 4.5 strategic 2 NEXT_HINT 0.15R is 0.15 times R. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:12.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 0.15R = 4.5 strategic 3 NEXT_HINT Divide both sides by 0.15. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 0.15R = 4.5 strategic 4 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:19.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03 R = 30 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03 R7C1 5 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R1C1 3 OK the time default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the time. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R2C1 2 NEXT_HINT What would you say if you were measuring the time? You would count one second, two seconds, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R2C1 3 OK seconds default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C1 1 INITIAL_HINT Define a variable for the time. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the time. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R3C1 3 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R4C1 2 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R4C1 3 OK 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R5C1 1 INITIAL_HINT Enter the value for question 2 in seconds. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R5C1 2 NEXT_HINT You know that the time is five more minutes. Convert five more minutes to seconds. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:31:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R5C1 3 BUG 5 5
5 is the the time in minutes, but we want to use seconds. How many seconds are in five more minutes? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R5C1 4 ERROR 45 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R5C1 5 ERROR 45 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R5C1 6 INITIAL_HINT 45 You know that the time is five more minutes. Convert five more minutes to seconds. HINT 2 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R5C1 7 NEXT_HINT There are 60 seconds in a minute. What is five more minutes in seconds? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R5C1 8 NEXT_HINT To convert from minutes to seconds, multiply the number of minutes by 60. Five more minutes is 300 seconds. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R5C1 9 OK 300 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 2 NEXT_HINT How many seconds does it take to get the total distance the Crawler has traveled to be 7000 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 3 NEXT_HINT If you were given the time (the input) and you wanted to find the total distance the Crawler has traveled (the output), you would perform one or more operations on the time. Since you are given the total distance the Crawler has traveled, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R1C2 3 OK how far default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the total distance the Crawler has traveled. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:47.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R2C2 2 NEXT_HINT What would you say if you were measuring the total distance the Crawler has traveled? You would count one foot, two feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R2C2 3 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C2 1 INITIAL_HINT Enter an expression to calculate the total distance the Crawler has traveled using the time. HINT 1 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C2 2 NEXT_HINT First consider the initial value of the total distance the Crawler has traveled. Next consider how the total distance the Crawler has traveled will change for each second. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:32:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance the Crawler has traveled plus the change in the total distance the Crawler has traveled for each second times the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R3C2 4 ERROR e default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C2 5 NEXT_HINT Write an expression that means the same thing as 142 plus 2.7 times the time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R3C2 6 NEXT_HINT Enter 2.7C + 142 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R3C2 7 ERROR 2.7C=142 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R3C2 8 OK 2.7C+142 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 4 INITIAL_HINT 7000 feet is the given output value in this question, because it depends on the time. What value of the time does it take to output 7000 feet? HINT 1 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 5 NEXT_HINT You know that the expression 2.7C + 142 represents the total distance the Crawler has traveled. What value of the time will make the general expression 2.7C + 142 output the given value of 7000 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 6 NEXT_HINT Since the general expression for the total distance the Crawler has traveled is 2.7C + 142 and since the total distance the Crawler has traveled in this question is 7000, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R6C1 7 NEXT_HINT Solve the equation 2.7C + 142 = 7000. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A ValidEquations 1 OK 2.7C+142=7000 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 7000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 7000 strategic 2 NEXT_HINT 142 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 142 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:33:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 7000 strategic 3 NEXT_HINT You can subtract 142 from both sides of the equation to eliminate the constant value of 142 (142 - 142 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 7000 strategic 4 OK subtract 142 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C = 6858 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C = 6858 strategic 2 NEXT_HINT 2.7C is 2.7 times C. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C = 6858 strategic 3 NEXT_HINT Divide both sides by 2.7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A 2.7C = 6858 strategic 4 OK divide 2.7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A C = 2540 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R6C1 8 OK 2540 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R7C1 1 INITIAL_HINT 3571 feet is the given output value in this question, because it depends on the time. What value of the time does it take to output 3571 feet? HINT 1 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R7C1 2 NEXT_HINT You know that the expression 2.7C + 142 represents the total distance the Crawler has traveled. What value of the time will make the general expression 2.7C + 142 output the given value of 3571 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R7C1 3 NEXT_HINT Since the general expression for the total distance the Crawler has traveled is 2.7C + 142 and since the total distance the Crawler has traveled in this question is 3571, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A R7C1 4 NEXT_HINT Solve the equation 2.7C + 142 = 3571. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A ValidEquations 2 OK 2.7C+142=3571 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 3571 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 3571 strategic 2 NEXT_HINT 142 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 142 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 3571 strategic 3 NEXT_HINT You can subtract 142 from both sides of the equation to eliminate the constant value of 142 (142 - 142 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A 2.7C+142 = 3571 strategic 4 OK subtract 142 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C = 3429 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C = 3429 strategic 2 NEXT_HINT 2.7C is 2.7 times C. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:34:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A 2.7C = 3429 strategic 3 NEXT_HINT Divide both sides by 2.7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A 2.7C = 3429 strategic 4 OK divide 2.7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32A C = 1270 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32A R7C1 5 OK 1270 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R1C1 3 OK the time from now default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R2C1 1 INITIAL_HINT You need to enter a unit for measuring the time. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R2C1 2 NEXT_HINT What would you say if you were measuring the time? You would count one hour, two hours, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C1 3 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C1 1 INITIAL_HINT Define a variable for the time. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the time. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R3C1 3 OK n default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R4C1 2 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R4C1 3 OK 1.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R5C1 1 INITIAL_HINT Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R5C1 2 NEXT_HINT You know that the time is 17 minutes. Convert 17 minutes to hours. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R5C1 3 BUG 17 17
17 is the the time in minutes, but we want to use hours. How many hours are in 17 minutes? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R5C1 4 INITIAL_HINT 17 You know that the time is 17 minutes. Convert 17 minutes to hours. HINT 2 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R5C1 5 NEXT_HINT There are 60 minutes in a hour. What is 17 minutes in hours? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:35:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R5C1 6 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 17 minutes is 0.2833 hours. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R5C1 7 OK 0.2833 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 2 NEXT_HINT How many hours does it take to get the total distance it has flown to be 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 3 NEXT_HINT If you were given the time (the input) and you wanted to find the total distance it has flown (the output), you would perform one or more operations on the time. Since you are given the total distance it has flown, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R1C2 3 OK the total distance default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the total distance it has flown. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:20.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R2C2 2 NEXT_HINT What would you say if you were measuring the total distance it has flown? You would count one mile, two miles, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C2 3 ERROR milrd default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C2 4 ERROR mles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R2C2 5 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C2 1 INITIAL_HINT Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C2 2 NEXT_HINT First consider the initial value of the total distance it has flown. Next consider how the total distance it has flown will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance it has flown plus the change in the total distance it has flown for each hour times the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C2 4 NEXT_HINT Write an expression that means the same thing as 500 plus 1500 times the time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R3C2 5 NEXT_HINT Enter 1500N + 500 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R3C2 6 OK 1500N+500 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 4 INITIAL_HINT 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:36:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 5 NEXT_HINT You know that the expression 1500N + 500 represents the total distance it has flown. What value of the time will make the general expression 1500N + 500 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 6 NEXT_HINT Since the general expression for the total distance it has flown is 1500N + 500 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R6C1 7 NEXT_HINT Solve the equation 1500N + 500 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 ValidEquations 1 OK 1500N+500=1750 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 1750 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:24.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 1750 strategic 2 NEXT_HINT 500 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 500 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 1750 strategic 3 NEXT_HINT You can subtract 500 from both sides of the equation to eliminate the constant value of 500 (500 - 500 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 1750 strategic 4 OK subtract 500 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N = 1250 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N = 1250 strategic 2 NEXT_HINT 1500N is 1500 times N. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N = 1250 strategic 3 NEXT_HINT Divide both sides by 1500. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 1500N = 1250 strategic 4 OK divide 1500 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 N = 5/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R6C1 8 OK 5/6 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R7C1 1 INITIAL_HINT 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:37:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R7C1 2 NEXT_HINT You know that the expression 1500N + 500 represents the total distance it has flown. What value of the time will make the general expression 1500N + 500 output the given value of 3500 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R7C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1500N + 500 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:07.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 R7C1 4 NEXT_HINT Solve the equation 1500N + 500 = 3500. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 ValidEquations 2 OK 1500N+500=3500 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 3500 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 3500 strategic 2 NEXT_HINT 500 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 500 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 3500 strategic 3 NEXT_HINT You can subtract 500 from both sides of the equation to eliminate the constant value of 500 (500 - 500 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 1500N+500 = 3500 strategic 4 OK subtract 500 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N = 3000 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:29.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N = 3000 strategic 2 NEXT_HINT 1500N is 1500 times N. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 1500N = 3000 strategic 3 NEXT_HINT Divide both sides by 1500. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 1500N = 3000 strategic 4 OK divide 1500 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31 N = 2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31 R7C1 5 OK 2 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:57.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:38:59.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 3 OK snow cones default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:04.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:05.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 3 OK profit default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:14.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R2C2 1 INITIAL_HINT You need to enter a unit for measuring the profit. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:15.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R2C2 2 NEXT_HINT What would you say if you were measuring the profit? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 3 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:20.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C1 1 INITIAL_HINT Define a variable for the number of snow cones we sell. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:21.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the number of snow cones we sell. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 3 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:25.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the number of snow cones we sell? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:26.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R4C1 2 NEXT_HINT Important information about the number of snow cones we sell is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 3 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:30.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the number of snow cones we sell? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:31.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R5C1 2 NEXT_HINT Important information about the number of snow cones we sell is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:34.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R5C1 3 NEXT_HINT Type the number of snow cones we sell into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 4 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:41.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:42.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 2 NEXT_HINT How many snow cones does it take to get the profit to be 300 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:45.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 3 NEXT_HINT If you were given the number of snow cones we sell (the input) and you wanted to find the profit (the output), you would perform one or more operations on the number of snow cones we sell. Since you are given the profit, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:48.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 1 INITIAL_HINT Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:49.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 2 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 3 BUG s s
You entered S in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 4 BUG s s
You entered S in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:52.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 5 INITIAL_HINT s First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:52.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of the profit plus the change in the profit for each snow cone times the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:39:58.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 7 NEXT_HINT Write an expression that means the same thing as -50.00 dollars plus 0.5 times the number of snow cones we sell. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:02.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R3C2 8 NEXT_HINT Enter -50.00 plus 0.5S HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 9 BUG 0.5s 0.5s
The profit increases by 0.5 each snow cone, but remember that it starts at -50 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 10 OK -50.00+0.5s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:32.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 4 INITIAL_HINT 300 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 300 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:34.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 5 NEXT_HINT You know that the expression 0.5S - 50 represents the profit. What value of the number of snow cones we sell will make the general expression 0.5S - 50 output the given value of 300 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:39.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 6 NEXT_HINT Since the general expression for the profit is 0.5S - 50 and since the profit in this question is 300, set the two of them equal to find the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:42.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 7 NEXT_HINT Solve the equation 0.5S - 50 = 300. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK 0.5S-50=300 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:59.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 300 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:40:59.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 300 strategic 2 NEXT_HINT -50 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -50 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:02.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 300 strategic 3 NEXT_HINT You can add 50 to both sides of the equation to eliminate the constant value of -50 (-50 + 50 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 300 strategic 4 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:08.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S = 350 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:08.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S = 350 strategic 2 NEXT_HINT 0.5S is 0.5 times S. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:12.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S = 350 strategic 3 NEXT_HINT Divide both sides by 0.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S = 350 strategic 4 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:18.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 S = 700 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 8 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:26.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R7C1 1 INITIAL_HINT 153.5 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 153.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:27.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R7C1 2 NEXT_HINT You know that the expression 0.5S - 50 represents the profit. What value of the number of snow cones we sell will make the general expression 0.5S - 50 output the given value of 153.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:31.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R7C1 3 NEXT_HINT Since the general expression for the profit is 0.5S - 50 and since the profit in this question is 153.5, set the two of them equal to find the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:35.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R7C1 4 NEXT_HINT Solve the equation 0.5S - 50 = 153.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK 0.5S-50=153.5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:43.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 153.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:44.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 153.5 strategic 2 NEXT_HINT -50 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -50 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:47.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 153.5 strategic 3 NEXT_HINT You can add 50 to both sides of the equation to eliminate the constant value of -50 (-50 + 50 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 153.5 strategic 4 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:53.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S = 203.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:53.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S = 203.5 strategic 2 NEXT_HINT 0.5S is 0.5 times S. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:41:57.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 0.5S = 203.5 strategic 3 NEXT_HINT Divide both sides by 0.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S = 203.5 strategic 4 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:04.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 S = 407 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 5 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:15.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:15.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:18.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R1C1 3 NEXT_HINT Try typing in the phrase "the length of the phone call". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 4 OK the length of the phone call default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:31.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R2C1 1 INITIAL_HINT You need to enter a unit for measuring the length of the phone call. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:31.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R2C1 2 NEXT_HINT What would you say if you were measuring the length of the phone call? You would count one minute, two minutes, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 3 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:39.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the length of the phone call? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:40.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R4C1 2 NEXT_HINT Important information about the length of the phone call is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 3 OK 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:43.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the length of the phone call? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:43.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R5C1 2 NEXT_HINT Important information about the length of the phone call is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:47.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R5C1 3 NEXT_HINT Type the length of the phone call, measured in minutes into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 4 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:51.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:52.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 2 NEXT_HINT How many minutes does it take to get the cost of a mobile telephone call to be 7 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:57.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 3 NEXT_HINT If you were given the length of the phone call (the input) and you wanted to find the cost of a mobile telephone call (the output), you would perform one or more operations on the length of the phone call. Since you are given the cost of a mobile telephone call, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:42:59.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:00.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 3 OK call cost default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:09.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R2C2 1 INITIAL_HINT You need to enter a unit for measuring the cost of a mobile telephone call. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:10.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R2C2 2 NEXT_HINT What would you say if you were measuring the cost of a mobile telephone call? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:15.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 1 INITIAL_HINT Enter an expression to calculate the cost of a mobile telephone call using the length of the phone call. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:15.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 2 NEXT_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:18.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 3 INITIAL_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:19.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of the cost of a mobile telephone call plus the change in the cost of a mobile telephone call for each minute times the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:22.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 5 NEXT_HINT Write an expression that means the same thing as 3.00 dollars plus 0.5 times the length of the phone call. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:25.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R3C2 6 NEXT_HINT Enter 3.00 plus 0.5M HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 7 OK 3.00+0.5m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:36.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 4 INITIAL_HINT 7 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 7 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:38.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 5 NEXT_HINT You know that the expression 0.5M + 3 represents the cost of a mobile telephone call. What value of the length of the phone call will make the general expression 0.5M + 3 output the given value of 7 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:41.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 6 NEXT_HINT Since the general expression for the cost of a mobile telephone call is 0.5M + 3 and since the cost of a mobile telephone call in this question is 7, set the two of them equal to find the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:44.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R6C1 7 NEXT_HINT Solve the equation 0.5M + 3 = 7. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 1 OK 0.5M+3=7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:58.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:43:58.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 7 strategic 2 NEXT_HINT 3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:02.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 7 strategic 3 NEXT_HINT You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 7 strategic 4 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:08.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:08.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M = 4 strategic 2 NEXT_HINT 0.5M is 0.5 times M. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:12.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M = 4 strategic 3 NEXT_HINT Divide both sides by 0.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5M = 4 strategic 4 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:21.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C M = 8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 8 OK 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:25.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R7C1 1 INITIAL_HINT 23.5 dollars is the given output value in this question, because it depends on the length of the phone call. What value of the length of the phone call does it take to output 23.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:26.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R7C1 2 NEXT_HINT You know that the expression 0.5M + 3 represents the cost of a mobile telephone call. What value of the length of the phone call will make the general expression 0.5M + 3 output the given value of 23.5 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:30.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R7C1 3 NEXT_HINT Since the general expression for the cost of a mobile telephone call is 0.5M + 3 and since the cost of a mobile telephone call in this question is 23.5, set the two of them equal to find the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:33.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C R7C1 4 NEXT_HINT Solve the equation 0.5M + 3 = 23.5. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 2 OK 0.5M+3=23.5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:42.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 23.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:43.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 23.5 strategic 2 NEXT_HINT 3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:46.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 23.5 strategic 3 NEXT_HINT You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 23.5 strategic 4 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:53.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M = 20.5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:53.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M = 20.5 strategic 2 NEXT_HINT 0.5M is 0.5 times M. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:44:58.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C 0.5M = 20.5 strategic 3 NEXT_HINT Divide both sides by 0.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5M = 20.5 strategic 4 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:07.0 HINT HINT CTA1_04 CTA1_04-3 DEC01C M = 41 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 5 OK 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:24.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:26.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:30.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R1C1 3 NEXT_HINT Try typing in the phrase "the cellular phone time used next month". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 4 OK the cellular phone time used next month default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:45.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the cellular phone time used next month. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:46.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R2C1 2 NEXT_HINT What would you say if you were measuring the cellular phone time used next month? You would count one minute, two minutes, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 3 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:50.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C1 1 INITIAL_HINT Define a variable for the cellular phone time used next month. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:51.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the cellular phone time used next month. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 3 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:55.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the cellular phone time used next month? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:45:56.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R4C1 2 NEXT_HINT Important information about the cellular phone time used next month is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 3 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:01.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the cellular phone time used next month? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:02.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R5C1 2 NEXT_HINT Important information about the cellular phone time used next month is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 3 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:05.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:06.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 2 NEXT_HINT How many minutes does it take to get balance on the next bill to be 15.74 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:10.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 3 NEXT_HINT If you were given the cellular phone time used next month (the input) and you wanted to find balance on the next bill (the output), you would perform one or more operations on the cellular phone time used next month. Since you are given balance on the next bill, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:12.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:13.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 3 OK bill default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:17.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R2C2 1 INITIAL_HINT You need to enter a unit for measuring balance on the next bill. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:17.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R2C2 2 NEXT_HINT What would you say if you were measuring balance on the next bill? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:22.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 1 INITIAL_HINT Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:23.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 2 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:26.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:30.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 4 NEXT_HINT Write an expression that means the same thing as -5.26 dollars plus 0.21 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:34.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 5 NEXT_HINT Enter -5.26 plus 0.21C HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 6 OK -5.26+0.21C default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:47.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 4 INITIAL_HINT 15.74 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 15.74 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:49.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 5 NEXT_HINT You know that the expression 0.21C - 5.26 represents balance on the next bill. What value of the cellular phone time used next month will make the general expression 0.21C - 5.26 output the given value of 15.74 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:54.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 6 NEXT_HINT Since the general expression for balance on the next bill is 0.21C - 5.26 and since balance on the next bill in this question is 15.74, set the two of them equal to find the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:46:58.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R6C1 7 NEXT_HINT Solve the equation 0.21C - 5.26 = 15.74. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK 0.21C-5.26=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:11.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 15.74 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:12.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 15.74 strategic 2 NEXT_HINT -5.26 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5.26 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:15.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 15.74 strategic 3 NEXT_HINT You can add 5.26 to both sides of the equation to eliminate the constant value of -5.26 (-5.26 + 5.26 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 15.74 strategic 4 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:27.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C = 21 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:28.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C = 21 strategic 2 NEXT_HINT 0.21C is 0.21 times C. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:50.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C = 21 strategic 3 NEXT_HINT Divide both sides by 0.21. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21C = 21 strategic 4 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:47:57.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A C = 100 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 8 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:01.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R7C1 1 INITIAL_HINT 20 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 20 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:02.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R7C1 2 NEXT_HINT You know that the expression 0.21C - 5.26 represents balance on the next bill. What value of the cellular phone time used next month will make the general expression 0.21C - 5.26 output the given value of 20 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:06.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R7C1 3 NEXT_HINT Since the general expression for balance on the next bill is 0.21C - 5.26 and since balance on the next bill in this question is 20, set the two of them equal to find the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:10.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R7C1 4 NEXT_HINT Solve the equation 0.21C - 5.26 = 20. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK 0.21C-5.26=20 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:19.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 20 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:19.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 20 strategic 2 NEXT_HINT -5.26 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5.26 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:23.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 20 strategic 3 NEXT_HINT You can add 5.26 to both sides of the equation to eliminate the constant value of -5.26 (-5.26 + 5.26 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21C-5.26 = 20 strategic 4 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:30.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C = 25.26 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:31.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C = 25.26 strategic 2 NEXT_HINT 0.21C is 0.21 times C. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:34.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A 0.21C = 25.26 strategic 3 NEXT_HINT Divide both sides by 0.21. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21C = 25.26 strategic 4 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:41.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A C = 120.28571429 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 5 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:48:59.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:00.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C1 3 OK the cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:09.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the cost of the items. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R2C1 2 NEXT_HINT What would you say if you were measuring the cost of the items? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C1 3 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:14.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C1 1 INITIAL_HINT Define a variable for the cost of the items. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:15.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the cost of the items. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:21.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C1 3 NEXT_HINT A variable is a symbol which represents all possible values of something. Use a single letter to represent the cost of the items. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C1 4 OK i default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:29.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the cost of the items? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:29.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R4C1 2 NEXT_HINT Important information about the cost of the items is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R4C1 3 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:34.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the cost of the items? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R5C1 2 NEXT_HINT Important information about the cost of the items is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R5C1 3 OK 400 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:40.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 2 NEXT_HINT How many dollars does it take to get the total cost of the order to be 281.6 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:43.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 3 NEXT_HINT If you were given the cost of the items (the input) and you wanted to find the total cost of the order (the output), you would perform one or more operations on the cost of the items. Since you are given the total cost of the order, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:46.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:47.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C2 3 BUG order cost during this sale order cost during this sale
You're close. How about the total cost of the order? BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R1C2 4 OK the total cost of the order default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:19.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the total cost of the order. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R2C2 2 NEXT_HINT What would you say if you were measuring the total cost of the order? You would count one dollar, two dollars, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R2C2 3 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:24.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:25.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 20%."). The other is that you need to add the flat fee of $20 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:28.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 20%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:32.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 4 NEXT_HINT Discounting each item in the order by 20%. means subtracting 0.2 times the cost of the items. So the discount is 0.2I. Since the discount is subtracted from the cost of the items, the total cost of the order will be I-0.2I. Don't forget the flat fee of $20 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 5 NEXT_HINT Write an expression that means the cost of the items minus 0.2 times the cost of the items plus the flat fee of $20 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:50:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 6 NEXT_HINT Enter I-0.2I+20 (you could also enter 0.8I + 20, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 7 BUG l-0.2l+20 l-0.2l+20
You have the right expression, but you need to use I as your variable. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R3C2 8 INITIAL_HINT l-0.2l+20 Enter I-0.2I+20 (you could also enter 0.8I + 20, which means the same thing). HINT 6 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 9 ERROR I-0.2l+20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R3C2 10 OK I-0.2I+20 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:40.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 4 INITIAL_HINT 281.6 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 281.6 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:41.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 5 NEXT_HINT You know that the expression 0.8I + 20 represents the total cost of the order. What value of the cost of the items will make the general expression 0.8I + 20 output the given value of 281.6 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:44.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 6 NEXT_HINT Since the general expression for the total cost of the order is 0.8I + 20 and since the total cost of the order in this question is 281.6, set the two of them equal to find the cost of the items. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:51:48.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R6C1 7 NEXT_HINT Solve the equation 0.8I + 20 = 281.6. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 1 OK 0.8I+20=281.6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:09.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 281.6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:09.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 281.6 strategic 2 NEXT_HINT 20 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 20 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:13.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 281.6 strategic 3 NEXT_HINT You can subtract 20 from both sides of the equation to eliminate the constant value of 20 (20 - 20 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 281.6 strategic 4 OK subtract 20 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:18.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 261.6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:19.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 261.6 strategic 2 NEXT_HINT 0.8I is 0.8 times I. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:22.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 261.6 strategic 3 NEXT_HINT Divide both sides by 0.8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 261.6 strategic 4 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:29.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A I = 327 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R6C1 8 OK 327 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R7C1 1 INITIAL_HINT 100 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 100 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R7C1 2 NEXT_HINT You know that the expression 0.8I + 20 represents the total cost of the order. What value of the cost of the items will make the general expression 0.8I + 20 output the given value of 100 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R7C1 3 NEXT_HINT Since the general expression for the total cost of the order is 0.8I + 20 and since the total cost of the order in this question is 100, set the two of them equal to find the cost of the items. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:42.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A R7C1 4 NEXT_HINT Solve the equation 0.8I + 20 = 100. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A ValidEquations 2 OK 0.8I+20=100 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 100 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 100 strategic 2 NEXT_HINT 20 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 20 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:54.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 100 strategic 3 NEXT_HINT You can subtract 20 from both sides of the equation to eliminate the constant value of 20 (20 - 20 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:52:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8I+20 = 100 strategic 4 OK subtract 20 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:00.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 80 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:01.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 80 strategic 2 NEXT_HINT 0.8I is 0.8 times I. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 80 strategic 3 NEXT_HINT Divide both sides by 0.8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A 0.8I = 80 strategic 4 OK divide 0.8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14A I = 100 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14A R7C1 5 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:21.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:27.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:53:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 3 OK time default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:02.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C1 1 INITIAL_HINT You need to enter a unit for measuring the number of hours from now. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:03.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C1 2 NEXT_HINT What would you say if you were measuring the number of hours from now? You would count one hour, two hours, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 3 OK hour default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C1 1 INITIAL_HINT Define a variable for the number of hours from now. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the number of hours from now. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 3 OK n default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:13.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the number of hours from now? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:14.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 2 NEXT_HINT Important information about the number of hours from now is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:18.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 3 INITIAL_HINT Important information about the number of hours from now is highlighted for you in question 1 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:19.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 4 NEXT_HINT Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 5 ERROR 8:00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:54:54.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 6 INITIAL_HINT 8:00 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 7 ERROR 8:00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 8 ERROR 4.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 9 ERROR 4.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:13.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 10 INITIAL_HINT 4.50 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 11 ERROR 4.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 12 ERROR 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 13 ERROR 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session22 2005-12-07 08:55:27.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 14 INITIAL_HINT 4 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 09:59:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 ERROR 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 09:59:36.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 2 INITIAL_HINT 4 Read the problem statement. What information is given in question 1 about the number of hours from now? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 09:59:37.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 3 NEXT_HINT Important information about the number of hours from now is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 09:59:41.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 4 NEXT_HINT Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 09:59:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 5 ERROR 4.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 6 ERROR 4.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 7 ERROR 5.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 8 INITIAL_HINT 5.5 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:11.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:12.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 2 NEXT_HINT How many hours does it take to get the temperature of the liquid to be -72 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:20.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 3 NEXT_HINT If you were given the number of hours from now (the input) and you wanted to find the temperature of the liquid (the output), you would perform one or more operations on the number of hours from now. Since you are given the temperature of the liquid, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:23.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:24.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:29.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R1C2 3 NEXT_HINT Try typing in the phrase "the temperature of the liquid". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 4 OK the temperature default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:41.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C2 1 INITIAL_HINT You need to enter a unit for measuring the temperature of the liquid. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:42.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C2 2 NEXT_HINT What would you say if you were measuring the temperature of the liquid? You would count one degree Celsius, two degrees Celsius, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 3 OK degrees Celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:58.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 1 INITIAL_HINT Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:00:59.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 2 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:03.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 4 NEXT_HINT Write an expression that means the same thing as -36 minus 4.5 times the number of hours from now. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:14.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R3C2 5 NEXT_HINT Enter -36 - 4.5N HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 1 BUG -36-4.5N -36-4.5N
You entered -36-4.5N in the wrong row. BUG default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 6 OK -36-4.5N default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C2 2 BUG -36-4.5N -36-4.5N
You entered -36-4.5N in the wrong row. BUG default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:35.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 3 INITIAL_HINT -36-4.5N You are given a value for the number of hours from now. Find the temperature of the liquid. HINT 1 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:36.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 4 NEXT_HINT You are given a value for the number of hours from now. Find the temperature of the liquid by calculating -4.5 times the number of hours from now minus 36. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:39.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C2 5 INITIAL_HINT -36-4.5N You are given a value for the number of hours from now. Find the temperature of the liquid by calculating -4.5 times the number of hours from now minus 36. HINT 2 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 9 ERROR 5.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:01:54.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 10 INITIAL_HINT 5.5 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 11 ERROR 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 12 ERROR 36 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 13 ERROR -36 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:23.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 14 INITIAL_HINT -36 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 15 ERROR 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 16 ERROR 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:34.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 4 INITIAL_HINT -72 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output -72 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:35.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 5 NEXT_HINT You know that the expression -36 - 4.5N represents the temperature of the liquid. What value of the number of hours from now will make the general expression -36 - 4.5N output the given value of -72 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:39.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 6 NEXT_HINT Since the general expression for the temperature of the liquid is -36 - 4.5N and since the temperature of the liquid in this question is -72, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:02:42.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R6C1 7 NEXT_HINT Solve the equation -36 - 4.5N = -72. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -36-4.5N=-72 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:03.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -72 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -72 strategic 2 NEXT_HINT -36 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -36 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:08.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -72 strategic 3 NEXT_HINT You can add 36 to both sides of the equation to eliminate the constant value of -36 (-36 + 36 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -72 strategic 4 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:15.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -4.5N = -36 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:15.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -4.5N = -36 strategic 2 NEXT_HINT -4.5N is -4.5 times N. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:19.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -4.5N = -36 strategic 3 NEXT_HINT Divide both sides by -4.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5N = -36 strategic 4 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:26.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C N = 8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 8 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:32.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R7C1 1 INITIAL_HINT 0 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output 0 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:33.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R7C1 2 NEXT_HINT You know that the expression -36 - 4.5N represents the temperature of the liquid. What value of the number of hours from now will make the general expression -36 - 4.5N output the given value of 0 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:36.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R7C1 3 NEXT_HINT Since the general expression for the temperature of the liquid is -36 - 4.5N and since the temperature of the liquid in this question is 0, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:40.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R7C1 4 NEXT_HINT Solve the equation -36 - 4.5N = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-4.5N=-0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:48.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:48.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -0 strategic 2 NEXT_HINT -36 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -36 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:52.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -0 strategic 3 NEXT_HINT You can add 36 to both sides of the equation to eliminate the constant value of -36 (-36 + 36 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5N = -0 strategic 4 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:03:59.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -4.5N = 36 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:04:00.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -4.5N = 36 strategic 2 NEXT_HINT -4.5N is -4.5 times N. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:04:03.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C -4.5N = 36 strategic 3 NEXT_HINT Divide both sides by -4.5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:04:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5N = 36 strategic 4 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:04:09.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C N = -8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:04:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 5 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:05:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R4C1 17 INITIAL_HINT 12 Type the number of hours from now into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:06:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 18 ERROR -40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:06:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 19 ERROR 31.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:07:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 20 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:09.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 3 OK the digging time default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:19.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the digging time. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:20.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C1 2 NEXT_HINT What would you say if you were measuring the digging time? You would count one month, two months, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 3 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:25.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C1 1 INITIAL_HINT Define a variable for the digging time. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the digging time. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 3 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 1 INITIAL_HINT Enter the value for question 1 in months. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 2 NEXT_HINT You know that the digging time is one decade. Convert one decade to months. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 3 BUG 1 1
1 is the the digging time in decades, but we want to use months. How many months are in one decade? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 4 ERROR 365 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:41.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 5 INITIAL_HINT 365 You know that the digging time is one decade. Convert one decade to months. HINT 2 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:43.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 6 NEXT_HINT There are 10 years in a decade. there are 12 months in a year. What is one decade in months? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:46.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 7 NEXT_HINT To convert from decades to years, multiply the number of decades by 10. to convert from years to months, multiply the number of years by 12. One decade is 120 months. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 8 OK 120 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 2 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 3 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:57.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 4 INITIAL_HINT 3 Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:08:58.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 5 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:09:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 6 INITIAL_HINT 3 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:09:17.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 7 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:09:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 8 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:09:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 9 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:09:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 10 ERROR 3675 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 11 ERROR 3675 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 12 INITIAL_HINT 3675 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:20.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:21.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 2 NEXT_HINT How many months does it take to get the depth of the mine to be 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:25.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 3 NEXT_HINT If you were given the digging time (the input) and you wanted to find the depth of the mine (the output), you would perform one or more operations on the digging time. Since you are given the depth of the mine, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 3 OK depth default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:33.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the depth of the mine. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:33.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C2 2 NEXT_HINT What would you say if you were measuring the depth of the mine? You would count one foot, two feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 3 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 1 INITIAL_HINT Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 2 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 3 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 4 NEXT_HINT Write an expression that means the same thing as -1225 minus 12 times the digging time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:10:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 5 NEXT_HINT Enter -1225 - 12D HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:11:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 6 OK -1225-12D default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:11:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 13 INITIAL_HINT 3675 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:11:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:11:15.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:11:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 14 INITIAL_HINT 3675 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:11:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 15 ERROR 14700 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:12:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 16 ERROR 1237 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:12:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 17 INITIAL_HINT 1237 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:12:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 18 ERROR 2003 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:12:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 19 INITIAL_HINT 2003 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:13:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 20 ERROR 1213 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:13:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 21 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:13:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 22 ERROR 408 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:13:40.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 23 INITIAL_HINT 408 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:13:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 24 BUG 40 40
You entered 40 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:13:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 3 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 4 BUG 40 40
You entered 40 in the wrong row. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 1 ERROR 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 25 BUG 40 40
You entered 40 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:09.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 26 INITIAL_HINT 40 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 5 BUG 40 40
You entered 40 in the wrong row. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:11.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 6 INITIAL_HINT 40 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 7 NEXT_HINT You know that the expression -1225 - 12D represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12D output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:16.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 8 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12D and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:20.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 9 NEXT_HINT Solve the equation -1225 - 12D = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1225-12D=0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:35.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 2 NEXT_HINT -1225 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1225 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 3 NEXT_HINT You can add 1225 to both sides of the equation to eliminate the constant value of -1225 (-1225 + 1225 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 4 ERROR add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 6 NEXT_HINT -1225 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1225 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 7 NEXT_HINT You can add 1225 to both sides of the equation to eliminate the constant value of -1225 (-1225 + 1225 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 8 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:58.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:14:59.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 2 NEXT_HINT -12D is -12 times D. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:02.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 3 NEXT_HINT Divide both sides by -12. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 4 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A D = -1225/12 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 10 OK -1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:19.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 27 INITIAL_HINT 40 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 28 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:25.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 29 NEXT_HINT Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 30 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 31 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 32 ERROR 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 4 INITIAL_HINT 40 You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 5 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 33 ERROR 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:54.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 34 INITIAL_HINT 13 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:58.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 35 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:15:59.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 36 NEXT_HINT Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:16:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 37 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:16:02.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 38 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:17:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 39 INITIAL_HINT 13 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:17:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 40 ERROR 1095 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:17:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 6 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:17:55.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 7 INITIAL_HINT 40 You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 41 ERROR -1237 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 8 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:39.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 9 INITIAL_HINT 40 You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 10 NEXT_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 11 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 12 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:18:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 13 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:19:13.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A D = -1225/12 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:19:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 14 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:19:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 15 INITIAL_HINT 40 You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:19:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C2 16 ERROR 40 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:19:36.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 42 INITIAL_HINT -1237 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:20:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 43 ERROR -1237 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session23 2005-12-09 10:20:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 44 ERROR -1237 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C1 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C1 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 3 OK the digging time default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C1 1 INITIAL_HINT You need to enter a unit for measuring the digging time. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:32.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C1 2 NEXT_HINT What would you say if you were measuring the digging time? You would count one month, two months, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 3 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C1 1 INITIAL_HINT Define a variable for the digging time. HINT 1 default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:39.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C1 2 NEXT_HINT To define a variable, enter a single letter to represent the digging time. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 3 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 1 INITIAL_HINT Enter the value for question 1 in months. HINT 1 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:45.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 2 NEXT_HINT You know that the digging time is one decade. Convert one decade to months. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 3 BUG 1 1
1 is the the digging time in decades, but we want to use months. How many months are in one decade? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 4 INITIAL_HINT 1 You know that the digging time is one decade. Convert one decade to months. HINT 2 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 5 NEXT_HINT There are 10 years in a decade. there are 12 months in a year. What is one decade in months? HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:53.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 6 NEXT_HINT To convert from decades to years, multiply the number of decades by 10. to convert from years to months, multiply the number of years by 12. One decade is 120 months. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:13:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 7 OK 120 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 1 INITIAL_HINT Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 2 NEXT_HINT Important information about the digging time is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 3 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 4 NEXT_HINT Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 5 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 6 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 7 INITIAL_HINT 3 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 8 ERROR 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 9 INITIAL_HINT 3 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 10 ERROR 136 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 11 ERROR 136 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:57.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 12 INITIAL_HINT 136 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:14:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 13 ERROR 136 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:01.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 2 NEXT_HINT How many months does it take to get the depth of the mine to be 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 3 NEXT_HINT If you were given the digging time (the input) and you wanted to find the depth of the mine (the output), you would perform one or more operations on the digging time. Since you are given the depth of the mine, you need to reverse the process (or work backwards). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C2 1 INITIAL_HINT One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R1C2 2 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 3 OK depth default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:13.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C2 1 INITIAL_HINT You need to enter a unit for measuring the depth of the mine. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R2C2 2 NEXT_HINT What would you say if you were measuring the depth of the mine? You would count one foot, two feet, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 3 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 1 INITIAL_HINT Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 2 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 3 ERROR f default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:32.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 5 NEXT_HINT Write an expression that means the same thing as -1225 minus 12 times the digging time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:36.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 6 NEXT_HINT Enter -1225 - 12D HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 7 OK -1225-12D default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:15:48.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 14 INITIAL_HINT 136 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:16:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 15 ERROR 2002 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:16:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 16 ERROR 2002 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:16:15.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 17 INITIAL_HINT 2002 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:16:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 18 ERROR 1095 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 4 INITIAL_HINT 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:08.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 5 NEXT_HINT You know that the expression -1225 - 12D represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12D output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:12.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 6 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12D and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:16.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 7 NEXT_HINT Solve the equation -1225 - 12D = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1225-12D=0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:33.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 2 NEXT_HINT -1225 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1225 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 3 NEXT_HINT You can add 1225 to both sides of the equation to eliminate the constant value of -1225 (-1225 + 1225 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12D = 0 strategic 4 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:51.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 2 NEXT_HINT -12D is -12 times D. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:17:55.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 3 NEXT_HINT Divide both sides by -12. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12D = 1225 strategic 4 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:02.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A D = -1225/12 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 8 OK -1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 1 INITIAL_HINT -1705 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output -1705 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:15.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 2 NEXT_HINT You know that the expression -1225 - 12D represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12D output the given value of -1705 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 3 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12D and since the depth of the mine in this question is -1705, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 4 NEXT_HINT Solve the equation -1225 - 12D = -1705. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 BUG -1225-12D=1705 -1225-12D=1705
Please check to make sure that -1225-12D=1705 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 5 INITIAL_HINT Solve the equation -1225 - 12D = -1705. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 3 OK -1225-12D=-1705 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:18:59.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = -1705 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = -1705 strategic 2 NEXT_HINT -1225 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1225 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:03.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12D = -1705 strategic 3 NEXT_HINT You can add 1225 to both sides of the equation to eliminate the constant value of -1225 (-1225 + 1225 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12D = -1705 strategic 4 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:14.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = -480 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:15.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = -480 strategic 2 NEXT_HINT -12D is -12 times D. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -12D = -480 strategic 3 NEXT_HINT Divide both sides by -12. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12D = -480 strategic 4 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:24.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A D = 40 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 6 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 1 INITIAL_HINT You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:29.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C2 2 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -12 times the digging time minus 1225. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:19:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R5C1 19 INITIAL_HINT 1095 Type the digging time, measured in months into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:20:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 20 ERROR 365 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:23:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 21 OK -36 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:09.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:10.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:13.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:18.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:19.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:20.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:26.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 3 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:28.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:29.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:32.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 3 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:35.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:36.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:39.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:46.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:46.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:54.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:55.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:24:59.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 3 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:05.0 HINT HINT ES_02 ES_02-1 EG31 -1(9-3) strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:05.0 HINT HINT ES_02 ES_02-1 EG31 -1(9-3) strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:08.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(9-3) strategic 3 OK mt -1(9-3) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:11.0 HINT HINT ES_02 ES_02-1 EG31 -(9-3) strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:12.0 HINT HINT ES_02 ES_02-1 EG31 -(9-3) strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:16.0 HINT HINT ES_02 ES_02-1 EG31 -(9-3) strategic 3 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:18.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -(9-3) strategic 4 OK clt 9-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:23.0 HINT HINT ES_02 ES_02-1 EG30 (-9+5)*-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:24.0 HINT HINT ES_02 ES_02-1 EG30 (-9+5)*-4 strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:30.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+5)*-4 strategic 3 OK clt -9+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:33.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*-4 strategic 1 ERROR clt -4*-4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:35.0 HINT HINT ES_02 ES_02-1 EG30 -4*-4 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:36.0 HINT HINT ES_02 ES_02-1 EG30 -4*-4 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:39.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*-4 strategic 4 OK mt -4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:43.0 HINT HINT ES_02 ES_02-1 EG31 7(9-3) strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:44.0 HINT HINT ES_02 ES_02-1 EG31 7(9-3) strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:46.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7(9-3) strategic 3 OK clt 9-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:47.0 HINT HINT ES_02 ES_02-1 EG31 7*6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:51.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7*6 strategic 2 OK mt 7*6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:56.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6+8)*6 strategic 1 OK clt -6+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:25:59.0 CYCLE CYCLE ES_02 ES_02-1 EG30 2*6 strategic 1 OK mt 2*6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:05.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3*8-1 strategic 1 ERROR clt 3*8-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:09.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3*8-1 strategic 2 OK mt 3*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:12.0 CYCLE CYCLE ES_02 ES_02-1 EG29 24-1 strategic 1 OK clt 24-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:18.0 HINT HINT ES_02 ES_02-1 EG28 1+1*-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:19.0 HINT HINT ES_02 ES_02-1 EG28 1+1*-7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:21.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1+1*-7 strategic 3 OK mt 1*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:24.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1+(-7) strategic 1 OK clt 1+(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 10+2*-2 strategic 1 ERROR clt 10+2*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:35.0 CYCLE CYCLE ES_02 ES_02-1 EG28 10+2*-2 strategic 2 OK mt 2*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:37.0 CYCLE CYCLE ES_02 ES_02-1 EG28 10+(-4) strategic 1 OK clt 10+(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:43.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*8-3 strategic 1 OK mt -3*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:46.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -24-3 strategic 1 OK clt -24-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:52.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7(7-4) strategic 1 ERROR mt 7(7-4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7(7-4) strategic 2 OK clt 7-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:26:58.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7*3 strategic 1 OK mt 7*3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:08.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (9+9)*-5 strategic 1 OK clt 9+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:13.0 CYCLE CYCLE ES_02 ES_02-1 EG30 18*-5 strategic 1 OK mt 18*-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:19.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(-5-7) strategic 1 OK clt -5-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:22.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8*-12 strategic 1 OK mt 8*-12 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:27.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+4*-3 strategic 1 ERROR clt -9+4*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+4*-3 strategic 2 OK mt 4*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:32.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+(-12) strategic 1 OK clt -9+(-12) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:38.0 CYCLE CYCLE ES_02 ES_02-1 EG29 9-8*0 strategic 1 ERROR clt 9-8*0 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:41.0 CYCLE CYCLE ES_02 ES_02-1 EG29 9-8*0 strategic 2 OK mt 8*0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:44.0 CYCLE CYCLE ES_02 ES_02-1 EG29 9-0 strategic 1 OK clt 9-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:50.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-10*-9 strategic 1 ERROR clt -1-10*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:53.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-10*-9 strategic 2 OK mt 10*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:27:55.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -1-(-90) strategic 1 OK clt -1-(-90) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:03.0 CYCLE CYCLE ES_02 ES_02-1 EG29 10-9*-5 strategic 1 OK mt 9*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:05.0 CYCLE CYCLE ES_02 ES_02-1 EG29 10-(-45) strategic 1 OK clt 10-(-45) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1+7)*-7 strategic 1 ERROR mt (-1+7)*-7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1+7)*-7 strategic 2 OK clt -1+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:18.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-1+7)*-7. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 6(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 6*-7 strategic 1 OK mt 6*-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:35.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [6]*[-7]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR -422 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK -42 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-3+0) strategic 1 ERROR mt -6(-3+0) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-3+0) strategic 2 OK clt -3+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:28:58.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -6(-3+0). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -6(-3) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-3 strategic 1 OK mt -6*-3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4-5)*-4 strategic 1 OK clt -4-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:29.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-4-5)*-4. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -9(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -9*-4 strategic 1 OK mt -9*-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR -36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:51.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT -36 In the group above, you have [-9]*[-4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:29:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8(7+6) strategic 1 OK clt 7+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:10.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -8(7+6). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -8 13 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*13 strategic 1 OK mt -8*13 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:28.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-8]*[13]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -104 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:42.0 HINT HINT ES_02 ES_02-2 EG29 -8*-6-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:43.0 HINT HINT ES_02 ES_02-2 EG29 -8*-6-3 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8*-6-3 strategic 3 OK mt -8*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:47.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in -8*-6-3. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 48-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:57.0 HINT HINT ES_02 ES_02-2 EG29 48-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:30:58.0 HINT HINT ES_02 ES_02-2 EG29 48-3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 48-3 strategic 3 OK clt 48-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 45 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:10.0 HINT HINT ES_02 ES_02-2 EG28 -6-9*-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:11.0 HINT HINT ES_02 ES_02-2 EG28 -6-9*-8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-9*-8 strategic 3 OK mt 9*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:16.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in -6-9*-8. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -6(-72) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -6-(-72) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+72 strategic 1 OK clt -6+72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:37.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-6]+[72]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 66 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:50.0 HINT HINT ES_02 ES_02-2 EG30 (-5+8)*-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:50.0 HINT HINT ES_02 ES_02-2 EG30 (-5+8)*-7 strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5+8)*-7 strategic 3 OK clt -5+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:31:55.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-5+8)*-7. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 3(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 3*-7 strategic 1 ERROR clt 3*-7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 3*-7 strategic 2 OK mt 3*-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 21 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR 21 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK -21 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8(-4-7) strategic 1 OK clt -4-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:25.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -8(-4-7). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -8(-11_ default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -8(-11) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*-11 strategic 1 OK mt -8*-11 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:43.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-8]*[-11]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 88 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:53.0 HINT HINT ES_02 ES_02-2 EG29 -10+5*-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:54.0 HINT HINT ES_02 ES_02-2 EG29 -10+5*-6 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10+5*-6 strategic 3 OK mt 5*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:32:58.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in -10+5*-6. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -10+(-30) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10-30 strategic 1 ERROR mt -10-30 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10-30 strategic 2 OK clt -10-30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:22.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-10]+[-30]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK -40 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:35.0 HINT HINT ES_02 ES_02-2 EG28 10-2*-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:36.0 HINT HINT ES_02 ES_02-2 EG28 10-2*-7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10-2*-7 strategic 3 OK mt 2*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:40.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in 10-2*-7. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:56.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 10-(-14 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:33:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 10-(-14) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10+14 strategic 1 ERROR mt 10+14 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10+14 strategic 2 OK clt 10+14 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 24 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-8-5)*-4 strategic 1 OK clt -8-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 10 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 11 ERROR 80 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:26.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 12 INITIAL_HINT 80 You need to combine like terms in (-8-5)*-4. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 13 OK -13(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -13*-4 strategic 1 ERROR clt -13*-4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -13*-4 strategic 2 ERROR clt -13*-4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -13*-4 strategic 3 OK mt -13*-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:50.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 14 INITIAL_HINT In the group above, you have [-13]*[-4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:34:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 15 OK 52 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:01.0 HINT HINT ES_02 ES_02-2 EG31 -1(-8-2) strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:01.0 HINT HINT ES_02 ES_02-2 EG31 -1(-8-2) strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-8-2) strategic 3 OK mt -1(-8-2) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 1 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-21R1 strategic 1 OK -8-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:15.0 HINT HINT ES_02 ES_02-2 EG31 constant factorsR2 strategic 1 INITIAL_HINT In the group above, you have [-1]. Type [-1] here. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 2 OK -1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2R2 strategic 1 ERROR -1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2R2 strategic 2 ERROR -1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:24.0 HINT HINT ES_02 ES_02-2 EG31 -8-2R2 strategic 3 INITIAL_HINT -1 In the group above, you have [-8-2]. Type [-8-2] here. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2R2 strategic 4 OK -8-2 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:31.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT Above, you have [-1]*[-8-2]. Enter that expression, simplify if necessary. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -1(-8-2) default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:46.0 HINT HINT ES_02 ES_02-2 EG31 -1(-8-2) strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:46.0 HINT HINT ES_02 ES_02-2 EG31 -1(-8-2) strategic 5 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-8-2) strategic 6 OK mt -1(-8-2) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 2 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-21R1 strategic 2 OK -8-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 BUG 0 0
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 BUG 0 0
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:35:58.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT 0 Before working on this answer, perhaps try working on the constant factors above. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:36:01.0 HINT HINT ES_02 ES_02-2 EG31 constant factorsR2 strategic 3 INITIAL_HINT In the group above, you have [-1]. Type [-1] here. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:36:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 4 OK -1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:36:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2R2 strategic 5 OK -8-2 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:36:08.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 6 INITIAL_HINT 0 Above, you have [-1]*[-8-2]. Enter that expression, simplify if necessary. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:36:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR 5 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:36:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK -1(-8-2) default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:02.0 HINT HINT ES_02 ES_02-2 EG31 -1(-8-2) strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:03.0 HINT HINT ES_02 ES_02-2 EG31 -1(-8-2) strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-8-2) strategic 9 OK mt -1(-8-2) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 BUG 5 5
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 BUG -5 -5
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 5 BUG 1 1
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 6 BUG 1 1
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:35.0 HINT HINT ES_02 ES_02-2 EG31 constant factorsR2 strategic 7 INITIAL_HINT 1 From the original equation at the top, select -1 and drag it to the correct box above. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 BUG 6 6
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 BUG -6 -6
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:51.0 HINT HINT ES_02 ES_02-2 EG31 constant factorsR2 strategic 8 INITIAL_HINT 1 From the original equation at the top, select -1 and drag it to the correct box above. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 3 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-21R1 strategic 3 OK -8-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 9 ERROR 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:37:59.0 HINT HINT ES_02 ES_02-2 EG31 constant factorsR2 strategic 10 INITIAL_HINT 1 In the group above, you have [-1]. Type [-1] here. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:38:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 11 OK -1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:38:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8-2R2 strategic 6 OK -8-2 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:38:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 ERROR -6 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:38:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-8-2) strategic 10 BUG multiply -1 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:38:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(-8-2) strategic 11 OK clt -8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:38:59.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 14 INITIAL_HINT You need to combine like terms in -1[-8-2]. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 15 ERROR -1(-10_ default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 16 OK -1(-10) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:14.0 HINT HINT ES_02 ES_02-2 EG31 -1*-10 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1*-10 strategic 2 OK mt -1*-10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:19.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 17 INITIAL_HINT In the group above, you have [-1]*[-10]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 18 OK 10 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:31.0 HINT HINT ES_02 ES_02-2 EG29 -6-7*-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:32.0 HINT HINT ES_02 ES_02-2 EG29 -6-7*-5 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6-7*-5 strategic 3 OK mt 7*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:35.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in -6-7*-5. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -6-(-35) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6+35 strategic 1 OK clt -6+35 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:39:55.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-6]+[35]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:01.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK 29 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:06.0 HINT HINT ES_02 ES_02-2 EG28 -2+0*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:07.0 HINT HINT ES_02 ES_02-2 EG28 -2+0*-8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2+0*-8 strategic 3 OK mt 0*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:11.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 1 INITIAL_HINT You need to perform multiplication in -2+0*-8. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -2+0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2+0 strategic 1 OK clt -2+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:34.0 HINT HINT ES_02 ES_02-2 EG31 7(-9-10) strategic 1 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:36.0 HINT HINT ES_02 ES_02-2 EG31 7(-9-10) strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7(-9-10) strategic 3 OK clt -9-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:40.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in 7(-9-10). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 7(-19) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:40:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7*-19 strategic 1 OK mt 7*-19 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:01.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [7]*[-19]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -133 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:22.0 HINT HINT ES_02 ES_02-3 EG35C x = 24(-35+18) strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:23.0 HINT HINT ES_02 ES_02-3 EG35C x = 24(-35+18) strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = 24(-35+18) strategic 3 OK clt -35+18 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:27.0 HINT HINT ES_02 ES_02-3 EG35C x = 24*-17 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:28.0 HINT HINT ES_02 ES_02-3 EG35C x = 24*-17 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = 24*-17 strategic 3 OK mt 24*-17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:36.0 HINT HINT ES_02 ES_02-3 EG34A x = (-26-41)*-26 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:38.0 HINT HINT ES_02 ES_02-3 EG34A x = (-26-41)*-26 strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:43.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-26-41)*-26 strategic 3 OK clt -26-41 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:47.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -67*-26 strategic 1 OK mt -67*-26 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:50.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = 1742 strategic 1 BUG clt x = 1742 strategic You already solved the equation. x is 1742. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:41:59.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -42(-39-2) = x strategic 1 OK clt -39-2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:01.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -42*-41 = x strategic 1 OK mt -42*-41 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:08.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -4+0*-4 strategic 1 OK clt -4+0*-4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:10.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = 1*-4 strategic 1 OK mt 1*-4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:15.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = -10+3*8 strategic 1 OK mt 3*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:17.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = -10+24 strategic 1 OK clt -10+24 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:24.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (-15+40)*8 = y strategic 1 ERROR mt (-15+40)*8 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:27.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (-15+40)*8 = y strategic 2 OK clt -15+40 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:29.0 CYCLE CYCLE ES_02 ES_02-3 EG34B 25*8 = y strategic 1 OK mt 25*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:35.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = (10-5)*3 strategic 1 OK clt 10-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:37.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = 5*3 strategic 1 OK mt 5*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:44.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -2(-31+1) = y strategic 1 OK clt -31+1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:47.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -2*-30 = y strategic 1 OK mt -2*-30 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:42:58.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -30-40*-29 strategic 1 ERROR clt y = -30-40*-29 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:00.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -30-40*-29 strategic 2 OK mt 40*-29 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:01.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -30-(-1160) strategic 1 OK clt -30-(-1160) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:08.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -30+13*36 strategic 1 ERROR clt x = -30+13*36 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:09.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -30+13*36 strategic 2 OK mt 13*36 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:11.0 CYCLE CYCLE ES_02 ES_02-3 EG33A x = -30+468 strategic 1 OK clt -30+468 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:20.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = 28+36*-15 strategic 1 OK mt 36*-15 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:21.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = 28+(-540) strategic 1 OK clt 28+(-540) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:28.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -18-36*-49 strategic 1 OK mt 36*-49 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:30.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -18-(-1764) strategic 1 OK clt -18-(-1764) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:38.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -3-25*-18 = y strategic 1 OK mt 25*-18 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:40.0 CYCLE CYCLE ES_02 ES_02-3 EG32C -3-(-450) = y strategic 1 OK clt -3-(-450) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (5-7)*-7 = x strategic 1 ERROR mt (5-7)*-7 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (5-7)*-7 = x strategic 2 OK clt 5-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:43:51.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (5-7)*-7. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -2(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -2*-7 = x strategic 1 OK mt -2*-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:04.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-2]*[-7]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 4 OK 14 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -44(-7-24) = y strategic 1 ERROR mt -44(-7-24) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:19.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -44(-7-24) = y strategic 2 OK clt -7-24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:20.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -44(-7-24). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK -44(-31) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -44*-31 = y strategic 1 ERROR clt -44*-31 = y strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -44*-31 = y strategic 2 OK mt -44*-31 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:38.0 HINT HINT ES_02 ES_02-4 EG35A FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-44]*[-31]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 4 OK 1364 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:55.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -13(-20+48) = y strategic 1 ERROR mt -13(-20+48) = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -13(-20+48) = y strategic 2 OK clt -20+48 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:44:58.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -13(-20+48). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:07.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -13 28 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:24.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -13*28 = y strategic 1 OK mt -13*28 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:26.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-13]*[28]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 4 OK -364 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = (-1-25)*16 strategic 1 OK clt -1-25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:43.0 HINT HINT ES_02 ES_02-4 EG34C FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-1-25)*16. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:45:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 ERROR -26-16 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 3 OK -26 16 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34C y = -26*16 strategic 1 OK mt -26*16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:09.0 HINT HINT ES_02 ES_02-4 EG34C FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-26]*[16]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:16.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 5 OK -416 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-36-5)*-2 = y strategic 1 ERROR mt (-36-5)*-2 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-36-5)*-2 = y strategic 2 OK clt -36-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:32.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (-36-5)*-2. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -41 (-2) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -41*-2 = y strategic 1 ERROR clt -41*-2 = y strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -41*-2 = y strategic 2 OK mt -41*-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:52.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-41]*[-2]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:46:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 OK 82 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:06.0 CYCLE CYCLE ES_02 ES_02-4 EG35 -3(-3-1) = x strategic 1 OK clt -3-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:07.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -3(-3-1). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:16.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK -3 (-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:20.0 CYCLE CYCLE ES_02 ES_02-4 EG35 -3*-4 = x strategic 1 OK mt -3*-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:22.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-3]*[-4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 4 OK 12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:35.0 CYCLE CYCLE ES_02 ES_02-4 EG38 -1*-1 = x strategic 1 ERROR clt -1*-1 = x strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:37.0 CYCLE CYCLE ES_02 ES_02-4 EG38 -1*-1 = x strategic 2 OK mt -1*-1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:39.0 HINT HINT ES_02 ES_02-4 EG38 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-1]*[-1]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:46.0 CYCLE CYCLE ES_02 ES_02-4 EG38 FinalAnswer strategic 2 OK 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:54.0 HINT HINT ES_02 ES_02-4 EG39C 1*-19 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:55.0 HINT HINT ES_02 ES_02-4 EG39C 1*-19 = y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:58.0 CYCLE CYCLE ES_02 ES_02-4 EG39C 1*-19 = y strategic 3 OK mt 1*-19 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:47:59.0 HINT HINT ES_02 ES_02-4 EG39C FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [1]*[-19]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:06.0 CYCLE CYCLE ES_02 ES_02-4 EG39C FinalAnswer strategic 2 OK -19 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:15.0 HINT HINT ES_02 ES_02-4 EG35B 20(42-31) = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:16.0 HINT HINT ES_02 ES_02-4 EG35B 20(42-31) = y strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:20.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 20(42-31) = y strategic 3 OK clt 42-31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:21.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in 20(42-31). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 20 11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 20*11 = y strategic 1 OK mt 20*11 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK 220 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:54.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (28-6)*26 strategic 1 OK clt 28-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:48:56.0 HINT HINT ES_02 ES_02-4 EG34B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (28-6)*26. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:02.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 22 26 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = 22*26 strategic 1 OK mt 22*26 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 3 OK 572 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -41(36-11) = y strategic 1 OK clt 36-11 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:25.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -41(36-11). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -41 25 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -41*25 = y strategic 1 OK mt -41*25 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK -1025 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:56.0 HINT HINT ES_02 ES_02-4 EG34A (45-5)*44 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:57.0 HINT HINT ES_02 ES_02-4 EG34A (45-5)*44 = y strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:49:59.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (45-5)*44 = y strategic 3 OK clt 45-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:02.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (45-5)*44. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 40 44 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:12.0 CYCLE CYCLE ES_02 ES_02-4 EG34A 40*44 = y strategic 1 ERROR clt 40*44 = y strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34A 40*44 = y strategic 2 OK mt 40*44 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 OK 1760 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:31.0 HINT HINT ES_02 ES_02-4 EG35B x = -36(-7-12) strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:31.0 HINT HINT ES_02 ES_02-4 EG35B x = -36(-7-12) strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -36(-7-12) strategic 3 OK clt -7-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:35.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in -36(-7-12). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -36(-19) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -36*-19 strategic 1 ERROR clt x = -36*-19 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -36*-19 strategic 2 OK mt -36*-19 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:53.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-36]*[-19]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:50:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 4 OK 684 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:05.0 HINT HINT ES_02 ES_02-4 EG34 (0-7)*-9 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:06.0 HINT HINT ES_02 ES_02-4 EG34 (0-7)*-9 = x strategic 2 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (0-7)*-9 = x strategic 3 ERROR mt (0-7)*-9 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (0-7)*-9 = x strategic 4 OK clt 0-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:11.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in (0-7)*-9. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:22.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -7(-9) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -7*-9 = x strategic 1 ERROR clt -7*-9 = x strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -7*-9 = x strategic 2 OK mt -7*-9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:30.0 HINT HINT ES_02 ES_02-4 EG34 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-7]*[-9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:37.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 4 OK 63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = 36(15-11) strategic 1 OK clt 15-11 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:47.0 HINT HINT ES_02 ES_02-4 EG35B FinalAnswer strategic 1 INITIAL_HINT You need to combine like terms in 36(15-11). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:53.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 36 4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:51:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = 36*4 strategic 1 OK mt 36*4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:03.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK 144 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+5 = -4 strategic 1 ERROR clt 6x+5 = -4 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+5 = -4 strategic 2 ERROR mt 6x+5 = -4 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:17.0 HINT HINT ES_02 ES_02-5 EG40 6x+5 = -4 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:18.0 HINT HINT ES_02 ES_02-5 EG40 6x+5 = -4 strategic 4 NEXT_HINT 5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:21.0 HINT HINT ES_02 ES_02-5 EG40 6x+5 = -4 strategic 5 NEXT_HINT You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:52:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+5 = -4 strategic 6 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:08.0 HINT HINT ES_02 ES_02-5 EG40 6x+5-5 = -4-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:10.0 HINT HINT ES_02 ES_02-5 EG40 6x+5-5 = -4-5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+5-5 = -4-5 strategic 3 OK clt -4-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+5-5 = -9 strategic 1 OK clt 6x+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = -9 strategic 1 ERROR clt 6x = -9 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = -9 strategic 2 ERROR mt 6x = -9 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:26.0 HINT HINT ES_02 ES_02-5 EG40 6x = -9 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:27.0 HINT HINT ES_02 ES_02-5 EG40 6x = -9 strategic 4 NEXT_HINT 6x is 6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:31.0 HINT HINT ES_02 ES_02-5 EG40 6x = -9 strategic 5 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = -9 strategic 6 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:39.0 HINT HINT ES_02 ES_02-5 EG40 6x/6 = -9/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:41.0 HINT HINT ES_02 ES_02-5 EG40 6x/6 = -9/6 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = -9/6 strategic 3 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:54.0 HINT HINT ES_02 ES_02-5 EG40 -8-6y = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:54.0 HINT HINT ES_02 ES_02-5 EG40 -8-6y = 9 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:55.0 HINT HINT ES_02 ES_02-5 EG40 -8-6y = 9 strategic 3 NEXT_HINT -8 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:53:58.0 HINT HINT ES_02 ES_02-5 EG40 -8-6y = 9 strategic 4 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-6y = 9 strategic 5 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:14.0 HINT HINT ES_02 ES_02-5 EG40 -8-6y+8 = 9+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:15.0 HINT HINT ES_02 ES_02-5 EG40 -8-6y+8 = 9+8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-6y+8 = 9+8 strategic 3 OK clt 9+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-6y+8 = 17 strategic 1 OK clt -8-6y+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y = 17 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:32.0 HINT HINT ES_02 ES_02-5 EG40 -6y/-6 = 17/-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:32.0 HINT HINT ES_02 ES_02-5 EG40 -6y/-6 = 17/-6 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6y/-6 = 17/-6 strategic 3 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:43.0 HINT HINT ES_02 ES_02-5 EG40 -2 = 9-5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:44.0 HINT HINT ES_02 ES_02-5 EG40 -2 = 9-5x strategic 2 NEXT_HINT 9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:47.0 HINT HINT ES_02 ES_02-5 EG40 -2 = 9-5x strategic 3 NEXT_HINT You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 9-5x strategic 4 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:53.0 HINT HINT ES_02 ES_02-5 EG40 -2-9 = 9-5x-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:53.0 HINT HINT ES_02 ES_02-5 EG40 -2-9 = 9-5x-9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2-9 = 9-5x-9 strategic 3 OK clt -2-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:59.0 HINT HINT ES_02 ES_02-5 EG40 -11 = 9-5x-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:54:59.0 HINT HINT ES_02 ES_02-5 EG40 -11 = 9-5x-9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:55:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -11 = 9-5x-9 strategic 3 OK clt 9-5x-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:55:04.0 HINT HINT ES_02 ES_02-5 EG40 -11 = -5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:55:05.0 HINT HINT ES_02 ES_02-5 EG40 -11 = -5x strategic 2 NEXT_HINT -5x is -5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session24 2005-12-16 08:55:08.0 HINT HINT ES_02 ES_02-5 EG40 -11 = -5x strategic 3 NEXT_HINT Divide both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:13:39.0 HINT HINT ES_02 ES_02-5 EG40 7x-7 = -1 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:13:40.0 HINT HINT ES_02 ES_02-5 EG40 7x-7 = -1 strategic 2 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:13:46.0 HINT HINT ES_02 ES_02-5 EG40 7x-7 = -1 strategic 3 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:13:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x-7 = -1 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:00.0 HINT HINT ES_02 ES_02-5 EG40 7x-7+7 = -1+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x-7+7 = -1+7 strategic 2 ERROR rf 7x-7+7 = -1+7 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x-7+7 = -1+7 strategic 3 OK clt 7x-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:17.0 HINT HINT ES_02 ES_02-5 EG40 7x = -1+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:18.0 HINT HINT ES_02 ES_02-5 EG40 7x = -1+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -1+7 strategic 3 OK clt -1+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = 6 strategic 1 ERROR rf 7x = 6 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:44.0 HINT HINT ES_02 ES_02-5 EG40 7x = 6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:45.0 HINT HINT ES_02 ES_02-5 EG40 7x = 6 strategic 3 NEXT_HINT 7x is 7 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:49.0 HINT HINT ES_02 ES_02-5 EG40 7x = 6 strategic 4 NEXT_HINT Divide both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = 6 strategic 5 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:14:58.0 HINT HINT ES_02 ES_02-5 EG40 7x/7 = 6/7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:01.0 HINT HINT ES_02 ES_02-5 EG40 7x/7 = 6/7 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x/7 = 6/7 strategic 3 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:10.0 HINT HINT ES_02 ES_02-5 EG40 x = 6/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:21.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -8+5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:21.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -8+5x strategic 2 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:31.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -8+5x strategic 3 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = -8+5x strategic 4 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:41.0 HINT HINT ES_02 ES_02-5 EG40 -7+8 = -8+5x+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:41.0 HINT HINT ES_02 ES_02-5 EG40 -7+8 = -8+5x+8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+8 = -8+5x+8 strategic 3 OK clt -8+5x+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:47.0 HINT HINT ES_02 ES_02-5 EG40 -7+8 = 5x strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:48.0 HINT HINT ES_02 ES_02-5 EG40 -7+8 = 5x strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+8 = 5x strategic 3 OK clt -7+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:53.0 HINT HINT ES_02 ES_02-5 EG40 1 = 5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:54.0 HINT HINT ES_02 ES_02-5 EG40 1 = 5x strategic 2 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:15:58.0 HINT HINT ES_02 ES_02-5 EG40 1 = 5x strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 5x strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:05.0 HINT HINT ES_02 ES_02-5 EG40 1/5 = 5x/5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:06.0 HINT HINT ES_02 ES_02-5 EG40 1/5 = 5x/5 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/5 = 5x/5 strategic 3 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:24.0 HINT HINT ES_02 ES_02-5 EG40 -6x-5 = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:25.0 HINT HINT ES_02 ES_02-5 EG40 -6x-5 = -9 strategic 2 NEXT_HINT -5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:28.0 HINT HINT ES_02 ES_02-5 EG40 -6x-5 = -9 strategic 3 NEXT_HINT You can add 5 to both sides of the equation to eliminate the constant value of -5 (-5 + 5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x-5 = -9 strategic 4 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:37.0 HINT HINT ES_02 ES_02-5 EG40 -6x-5+5 = -9+5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:38.0 HINT HINT ES_02 ES_02-5 EG40 -6x-5+5 = -9+5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x-5+5 = -9+5 strategic 3 OK clt -6x-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:46.0 HINT HINT ES_02 ES_02-5 EG40 -6x = -9+5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:46.0 HINT HINT ES_02 ES_02-5 EG40 -6x = -9+5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -9+5 strategic 3 OK clt -9+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:50.0 HINT HINT ES_02 ES_02-5 EG40 -6x = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:51.0 HINT HINT ES_02 ES_02-5 EG40 -6x = -4 strategic 2 NEXT_HINT -6x is -6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:16:55.0 HINT HINT ES_02 ES_02-5 EG40 -6x = -4 strategic 3 NEXT_HINT Divide both sides by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -4 strategic 4 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:03.0 HINT HINT ES_02 ES_02-5 EG40 -6x/-6 = -4/-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:04.0 HINT HINT ES_02 ES_02-5 EG40 -6x/-6 = -4/-6 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = -4/-6 strategic 3 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:21.0 HINT HINT ES_02 ES_02-5 EG40 9 = -3-7y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:23.0 HINT HINT ES_02 ES_02-5 EG40 9 = -3-7y strategic 2 NEXT_HINT -3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:27.0 HINT HINT ES_02 ES_02-5 EG40 9 = -3-7y strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9 = -3-7y strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:34.0 HINT HINT ES_02 ES_02-5 EG40 9+3 = -3-7y+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:35.0 HINT HINT ES_02 ES_02-5 EG40 9+3 = -3-7y+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9+3 = -3-7y+3 strategic 3 OK clt 9+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:40.0 HINT HINT ES_02 ES_02-5 EG40 12 = -3-7y+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:41.0 HINT HINT ES_02 ES_02-5 EG40 12 = -3-7y+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -3-7y+3 strategic 3 OK clt -3-7y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:45.0 HINT HINT ES_02 ES_02-5 EG40 12 = -7y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:45.0 HINT HINT ES_02 ES_02-5 EG40 12 = -7y strategic 2 NEXT_HINT -7y is -7 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:50.0 HINT HINT ES_02 ES_02-5 EG40 12 = -7y strategic 3 NEXT_HINT Divide both sides by -7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -7y strategic 4 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:56.0 HINT HINT ES_02 ES_02-5 EG40 12/-7 = -7y/-7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:17:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/-7 = -7y/-7 strategic 2 ERROR clt 12/-7 = -7y/-7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:03.0 HINT HINT ES_02 ES_02-5 EG40 12/-7 = -7y/-7 strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:04.0 HINT HINT ES_02 ES_02-5 EG40 12/-7 = -7y/-7 strategic 4 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/-7 = -7y/-7 strategic 5 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:13.0 HINT HINT ES_02 ES_02-5 EG40 7 = 5-1x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:14.0 HINT HINT ES_02 ES_02-5 EG40 7 = 5-1x strategic 2 NEXT_HINT 5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:18.0 HINT HINT ES_02 ES_02-5 EG40 7 = 5-1x strategic 3 NEXT_HINT You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = 5-1x strategic 4 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:26.0 HINT HINT ES_02 ES_02-5 EG40 7-5 = 5-1x-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:27.0 HINT HINT ES_02 ES_02-5 EG40 7-5 = 5-1x-5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-5 = 5-1x-5 strategic 3 ERROR mt 7-5 = 5-1x-5 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-5 = 5-1x-5 strategic 4 OK clt 5-1x-5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:36.0 HINT HINT ES_02 ES_02-5 EG40 7-5 = -1x strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:37.0 HINT HINT ES_02 ES_02-5 EG40 7-5 = -1x strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-5 = -1x strategic 3 OK clt 7-5 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:41.0 HINT HINT ES_02 ES_02-5 EG40 2 = -1x strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:45.0 HINT HINT ES_02 ES_02-5 EG40 2 = -1x strategic 2 NEXT_HINT -1x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:48.0 HINT HINT ES_02 ES_02-5 EG40 2 = -1x strategic 3 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:18:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -1x strategic 4 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:00.0 HINT HINT ES_02 ES_02-5 EG40 2/-1 = -1x/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:01.0 HINT HINT ES_02 ES_02-5 EG40 2/-1 = -1x/-1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2/-1 = -1x/-1 strategic 3 OK rf -1x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:14.0 HINT HINT ES_02 ES_02-5 EG40 1+3x = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:15.0 HINT HINT ES_02 ES_02-5 EG40 1+3x = -2 strategic 2 NEXT_HINT 1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:18.0 HINT HINT ES_02 ES_02-5 EG40 1+3x = -2 strategic 3 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+3x = -2 strategic 4 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:27.0 HINT HINT ES_02 ES_02-5 EG40 1+3x-1 = -2-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:27.0 HINT HINT ES_02 ES_02-5 EG40 1+3x-1 = -2-1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+3x-1 = -2-1 strategic 3 OK clt 1+3x-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:33.0 HINT HINT ES_02 ES_02-5 EG40 3x = -2-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:33.0 HINT HINT ES_02 ES_02-5 EG40 3x = -2-1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = -2-1 strategic 3 OK clt -2-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:40.0 HINT HINT ES_02 ES_02-5 EG40 3x = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:41.0 HINT HINT ES_02 ES_02-5 EG40 3x = -3 strategic 2 NEXT_HINT 3x is 3 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:44.0 HINT HINT ES_02 ES_02-5 EG40 3x = -3 strategic 3 NEXT_HINT Divide both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x = -3 strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:51.0 HINT HINT ES_02 ES_02-5 EG40 3x/3 = -3/3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:52.0 HINT HINT ES_02 ES_02-5 EG40 3x/3 = -3/3 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:19:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3x/3 = -3/3 strategic 3 OK rf 3x/3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:02.0 HINT HINT ES_02 ES_02-5 EG40 2-4x = -7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:02.0 HINT HINT ES_02 ES_02-5 EG40 2-4x = -7 strategic 2 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:06.0 HINT HINT ES_02 ES_02-5 EG40 2-4x = -7 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-4x = -7 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:13.0 HINT HINT ES_02 ES_02-5 EG40 2-4x-2 = -7-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:14.0 HINT HINT ES_02 ES_02-5 EG40 2-4x-2 = -7-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-4x-2 = -7-2 strategic 3 OK clt 2-4x-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:19.0 HINT HINT ES_02 ES_02-5 EG40 -4x = -7-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:20.0 HINT HINT ES_02 ES_02-5 EG40 -4x = -7-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x = -7-2 strategic 3 OK clt -7-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:24.0 HINT HINT ES_02 ES_02-5 EG40 -4x = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:25.0 HINT HINT ES_02 ES_02-5 EG40 -4x = -9 strategic 2 NEXT_HINT -4x is -4 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:28.0 HINT HINT ES_02 ES_02-5 EG40 -4x = -9 strategic 3 NEXT_HINT Divide both sides by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x = -9 strategic 4 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:36.0 HINT HINT ES_02 ES_02-5 EG40 -4x/-4 = -9/-4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:36.0 HINT HINT ES_02 ES_02-5 EG40 -4x/-4 = -9/-4 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4x/-4 = -9/-4 strategic 3 OK rf -4x/-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:45.0 HINT HINT ES_02 ES_02-5 EG40 -8 = 8y+5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:46.0 HINT HINT ES_02 ES_02-5 EG40 -8 = 8y+5 strategic 2 NEXT_HINT 5 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:53.0 HINT HINT ES_02 ES_02-5 EG40 -8 = 8y+5 strategic 3 NEXT_HINT You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:20:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 8y+5 strategic 4 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:00.0 HINT HINT ES_02 ES_02-5 EG40 -8-5 = 8y+5-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:02.0 HINT HINT ES_02 ES_02-5 EG40 -8-5 = 8y+5-5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-5 = 8y+5-5 strategic 3 OK clt 8y+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:07.0 HINT HINT ES_02 ES_02-5 EG40 -8-5 = 8y strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:08.0 HINT HINT ES_02 ES_02-5 EG40 -8-5 = 8y strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-5 = 8y strategic 3 OK clt -8-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:13.0 HINT HINT ES_02 ES_02-5 EG40 -13 = 8y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:14.0 HINT HINT ES_02 ES_02-5 EG40 -13 = 8y strategic 2 NEXT_HINT 8y is 8 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:17.0 HINT HINT ES_02 ES_02-5 EG40 -13 = 8y strategic 3 NEXT_HINT Divide both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13 = 8y strategic 4 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:24.0 HINT HINT ES_02 ES_02-5 EG40 -13/8 = 8y/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:25.0 HINT HINT ES_02 ES_02-5 EG40 -13/8 = 8y/8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -13/8 = 8y/8 strategic 3 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:31.0 HINT HINT ES_02 ES_02-5 EG40 -13/8 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:38.0 HINT HINT ES_02 ES_02-5 EG40 -7-6x = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:39.0 HINT HINT ES_02 ES_02-5 EG40 -7-6x = 2 strategic 2 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:43.0 HINT HINT ES_02 ES_02-5 EG40 -7-6x = 2 strategic 3 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-6x = 2 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:49.0 HINT HINT ES_02 ES_02-5 EG40 -7-6x+7 = 2+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:50.0 HINT HINT ES_02 ES_02-5 EG40 -7-6x+7 = 2+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-6x+7 = 2+7 strategic 3 OK clt -7-6x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:21:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 2+7 strategic 1 OK clt 2+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 9 strategic 1 ERROR rf -6x = 9 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:03.0 HINT HINT ES_02 ES_02-5 EG40 -6x = 9 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:03.0 HINT HINT ES_02 ES_02-5 EG40 -6x = 9 strategic 3 NEXT_HINT -6x is -6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:07.0 HINT HINT ES_02 ES_02-5 EG40 -6x = 9 strategic 4 NEXT_HINT Divide both sides by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = 9 strategic 5 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:18.0 HINT HINT ES_02 ES_02-5 EG40 -6x/-6 = 9/-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:19.0 HINT HINT ES_02 ES_02-5 EG40 -6x/-6 = 9/-6 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = 9/-6 strategic 3 OK rf 9/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:26.0 HINT HINT ES_02 ES_02-5 EG40 -6x/-6 = -3/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:26.0 HINT HINT ES_02 ES_02-5 EG40 -6x/-6 = -3/2 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = -3/2 strategic 3 ERROR rds -6x/-6 = -3/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = -3/2 strategic 4 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:38.0 HINT HINT ES_02 ES_02-5 EG40 -2+2x = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:39.0 HINT HINT ES_02 ES_02-5 EG40 -2+2x = -2 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:42.0 HINT HINT ES_02 ES_02-5 EG40 -2+2x = -2 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+2x = -2 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:49.0 HINT HINT ES_02 ES_02-5 EG40 -2+2x+2 = -2+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:49.0 HINT HINT ES_02 ES_02-5 EG40 -2+2x+2 = -2+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2+2x+2 = -2+2 strategic 3 OK clt -2+2x+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:56.0 HINT HINT ES_02 ES_02-5 EG40 2x = -2+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:56.0 HINT HINT ES_02 ES_02-5 EG40 2x = -2+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:22:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x = -2+2 strategic 3 OK clt -2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:00.0 HINT HINT ES_02 ES_02-5 EG40 2x = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:01.0 HINT HINT ES_02 ES_02-5 EG40 2x = 0 strategic 2 NEXT_HINT 2x is 2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:04.0 HINT HINT ES_02 ES_02-5 EG40 2x = 0 strategic 3 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x = 0 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:19.0 HINT HINT ES_02 ES_02-5 EG40 2x/2 = 0/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:19.0 HINT HINT ES_02 ES_02-5 EG40 2x/2 = 0/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x/2 = 0/2 strategic 3 OK rf 0/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:31.0 HINT HINT ES_02 ES_02-5 EG40 2x/2 = 0 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:32.0 HINT HINT ES_02 ES_02-5 EG40 2x/2 = 0 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2x/2 = 0 strategic 3 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:52.0 HINT HINT ES_02 ES_02-5 EG40 1 = 8-8x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:54.0 HINT HINT ES_02 ES_02-5 EG40 1 = 8-8x strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:23:57.0 HINT HINT ES_02 ES_02-5 EG40 1 = 8-8x strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 8-8x strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:05.0 HINT HINT ES_02 ES_02-5 EG40 1-8 = 8-8x-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:06.0 HINT HINT ES_02 ES_02-5 EG40 1-8 = 8-8x-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-8 = 8-8x-8 strategic 3 OK clt 1-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:12.0 HINT HINT ES_02 ES_02-5 EG40 -7 = 8-8x-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:13.0 HINT HINT ES_02 ES_02-5 EG40 -7 = 8-8x-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8-8x-8 strategic 3 OK clt 8-8x-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:17.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -8x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:18.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -8x strategic 2 NEXT_HINT -8x is -8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:22.0 HINT HINT ES_02 ES_02-5 EG40 -7 = -8x strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = -8x strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:29.0 HINT HINT ES_02 ES_02-5 EG40 -7/-8 = -8x/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:29.0 HINT HINT ES_02 ES_02-5 EG40 -7/-8 = -8x/-8 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/-8 = -8x/-8 strategic 3 OK rf -7/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:39.0 HINT HINT ES_02 ES_02-5 EG40 7/8 = -8x/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:40.0 HINT HINT ES_02 ES_02-5 EG40 7/8 = -8x/-8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/8 = -8x/-8 strategic 3 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:49.0 HINT HINT ES_02 ES_02-5 EG40 -9+5x = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:49.0 HINT HINT ES_02 ES_02-5 EG40 -9+5x = -5 strategic 2 NEXT_HINT -9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:53.0 HINT HINT ES_02 ES_02-5 EG40 -9+5x = -5 strategic 3 NEXT_HINT You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+5x = -5 strategic 4 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:58.0 HINT HINT ES_02 ES_02-5 EG40 -9+5x+9 = -5+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:24:59.0 HINT HINT ES_02 ES_02-5 EG40 -9+5x+9 = -5+9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+5x+9 = -5+9 strategic 3 OK clt -9+5x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:03.0 HINT HINT ES_02 ES_02-5 EG40 5x = -5+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:04.0 HINT HINT ES_02 ES_02-5 EG40 5x = -5+9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = -5+9 strategic 3 OK clt -5+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:07.0 HINT HINT ES_02 ES_02-5 EG40 5x = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:08.0 HINT HINT ES_02 ES_02-5 EG40 5x = 4 strategic 2 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:12.0 HINT HINT ES_02 ES_02-5 EG40 5x = 4 strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = 4 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:18.0 HINT HINT ES_02 ES_02-5 EG40 5x/5 = 4/5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:19.0 HINT HINT ES_02 ES_02-5 EG40 5x/5 = 4/5 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x/5 = 4/5 strategic 3 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 4/5 strategic 1 BUG rf x = 4/5 strategic You already solved the equation. x is 4/5. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:30.0 HINT HINT ES_02 ES_02-5 EG40 0 = -6x+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:31.0 HINT HINT ES_02 ES_02-5 EG40 0 = -6x+8 strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:34.0 HINT HINT ES_02 ES_02-5 EG40 0 = -6x+8 strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = -6x+8 strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:42.0 HINT HINT ES_02 ES_02-5 EG40 0-8 = -6x+8-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:43.0 HINT HINT ES_02 ES_02-5 EG40 0-8 = -6x+8-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-8 = -6x+8-8 strategic 3 OK clt 0-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:49.0 HINT HINT ES_02 ES_02-5 EG40 -8 = -6x+8-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:50.0 HINT HINT ES_02 ES_02-5 EG40 -8 = -6x+8-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -6x+8-8 strategic 3 OK clt -6x+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:53.0 HINT HINT ES_02 ES_02-5 EG40 -8 = -6x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:54.0 HINT HINT ES_02 ES_02-5 EG40 -8 = -6x strategic 2 NEXT_HINT -6x is -6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:25:57.0 HINT HINT ES_02 ES_02-5 EG40 -8 = -6x strategic 3 NEXT_HINT Divide both sides by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -6x strategic 4 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:04.0 HINT HINT ES_02 ES_02-5 EG40 -8/-6 = -6x/-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:05.0 HINT HINT ES_02 ES_02-5 EG40 -8/-6 = -6x/-6 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8/-6 = -6x/-6 strategic 3 OK rf -8/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:11.0 HINT HINT ES_02 ES_02-5 EG40 4/3 = -6x/-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:13.0 HINT HINT ES_02 ES_02-5 EG40 4/3 = -6x/-6 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4/3 = -6x/-6 strategic 3 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:26.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4+10y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:26.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4+10y strategic 2 NEXT_HINT 4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4+10y strategic 3 BUG add 4 Since 4 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 4 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:45.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4+10y strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:46.0 HINT HINT ES_02 ES_02-6 EG40 0 = 4+10y strategic 5 NEXT_HINT 4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 4+10y strategic 6 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:53.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:53.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 2 NEXT_HINT Type in 0-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 3 OK typein 0-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:57.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:26:58.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 5 NEXT_HINT Type in 4+10y-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 6 OK typein 4+10y-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:08.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:08.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 4+10y-4 strategic 9 OK clt 4+10y-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:19.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select 10y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK 10y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:25.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 2 INITIAL_HINT In the group above, you have [10y]. Type [10y] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:41.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 3 INITIAL_HINT In the group above, you have [10y]. Type [10y] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 4 OK 10y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:45.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 4 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:27:52.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select -4 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG -4 -4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:02.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT -4 From the original equation at the top, select -4 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 6 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:10.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 7 INITIAL_HINT -4 In the group above, you have [4]+[-4]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:23.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT y Above, you have [10y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 10y=0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 10Y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:42.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 10Y+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:43.0 HINT HINT ES_02 ES_02-6 EG40 0-4 = 10Y+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0-4 = 10Y+0 strategic 3 OK clt 0-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:54.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10Y+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:54.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10Y+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 10Y+0 strategic 3 OK clt 10Y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:28:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK 10Y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:02.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 5 INITIAL_HINT In the group above, you have [10y]. Type [10y] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 6 OK 10Y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 9 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 ERROR Y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK 10Y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:24.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10Y+0 strategic 4 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:25.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10Y+0 strategic 5 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 10Y+0 strategic 6 OK clt 10Y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 OK 10Y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 BUG Y Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 BUG Y Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 BUG Y Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 17 BUG Y Y
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 7 ERROR Y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 8 OK 10Y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:29:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 10 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 18 OK 10y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:13.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:13.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10y strategic 2 NEXT_HINT 10y is 10 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:17.0 HINT HINT ES_02 ES_02-6 EG40 -4 = 10y strategic 3 NEXT_HINT Divide both sides by 10. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = 10y strategic 4 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:27.0 HINT HINT ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:28.0 HINT HINT ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 2 NEXT_HINT Type in -4/10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 3 OK typein -4/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:35.0 HINT HINT ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:35.0 HINT HINT ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 5 NEXT_HINT Type in 10y/10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 6 OK typein 10y/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:44.0 HINT HINT ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:45.0 HINT HINT ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/10 = 10y/10 strategic 9 OK rf -4/10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:30:51.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:01.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-4]/[10] is 2. This set of entry boxes represent the simplified form of [-4]/[10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:12.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-4]/[10] is 2. This set of entry boxes represent the simplified form of [-4]/[10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:24.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 19 INITIAL_HINT Above is the simplified form of the expression -4/10. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 20 OK -2/5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:31.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 10y/10 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:32.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 10y/10 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/5 = 10y/10 strategic 3 OK rf 10y/10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:36.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT From the original equation at the top, select 10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:40.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 4 INITIAL_HINT From the original equation at the top, select 10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:53.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select 10 from the denominator and drag it to the denominator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:31:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 6 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:11.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:24.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 4 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:33.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 INITIAL_HINT The common factor between the numerator and denominator of [10]/[10] is 10. This set of entry boxes represent the simplified form of [10]/[10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:46.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:32:57.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [10]/[10] is 10. This set of entry boxes represent the simplified form of [10]/[10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:09.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:22.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 21 INITIAL_HINT Above is the simplified form of the expression 10y/10. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 22 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:27.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:33.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:34.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y = 0 strategic 2 NEXT_HINT -9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:37.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y = 0 strategic 3 NEXT_HINT You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y = 0 strategic 4 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:44.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:33:45.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 2 NEXT_HINT Type in -9+3y+9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 3 OK typein -9+3y+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:03.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:03.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 5 NEXT_HINT Type in 0+9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 6 OK typein 0+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:10.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:11.0 HINT HINT ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9+3y+9 = 0+9 strategic 9 OK clt -9+3y+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:17.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select 3y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK 3y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:25.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select -9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG -9 -9
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:29.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT -9 From the original equation at the top, select -9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:37.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT -9 From the original equation at the top, select 9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 9 9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 9, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG +9 +9
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +9, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:45.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 5 INITIAL_HINT -9 From the original equation at the top, select 9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK 3y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:34:57.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT -9 From the original equation at the top, select 9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:06.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 7 INITIAL_HINT -9 In the group above, you have [-9]+[+9]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:14.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above, you have [3y]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 3y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:21.0 HINT HINT ES_02 ES_02-6 EG40 3y = 0+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:22.0 HINT HINT ES_02 ES_02-6 EG40 3y = 0+9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3y = 0+9 strategic 3 OK clt 0+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:28.0 HINT HINT ES_02 ES_02-6 EG40 3y = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:28.0 HINT HINT ES_02 ES_02-6 EG40 3y = 9 strategic 2 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:32.0 HINT HINT ES_02 ES_02-6 EG40 3y = 9 strategic 3 NEXT_HINT Divide both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3y = 9 strategic 4 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:39.0 HINT HINT ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:40.0 HINT HINT ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 2 NEXT_HINT Type in 3y/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 3 OK typein 3y/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:47.0 HINT HINT ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:48.0 HINT HINT ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 5 NEXT_HINT Type in 9/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 6 OK typein 9/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:52.0 HINT HINT ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:53.0 HINT HINT ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3y/3 = 9/3 strategic 9 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:35:59.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:02.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:10.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 1 INITIAL_HINT From the original equation at the top, select y from the numerator and drag it to the numerator of the y factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:13.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 2 INITIAL_HINT From the original equation at the top, select y from the numerator and drag it to the numerator of the y factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:17.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 3 INITIAL_HINT From the original equation at the top, select y from the numerator and drag it to the numerator of the y factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:24.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 4 INITIAL_HINT From the original equation at the top, select y from the numerator and drag it to the numerator of the y factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 5 BUG y y
Perhaps you should fill in the numerator of the y factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 2 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:39.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 6 INITIAL_HINT y Because there are no y factors in the denominator of 3y/3, you must double-click in order to enter a 1. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 7 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:36:44.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [3]/[3] is 3. This set of entry boxes represent the simplified form of [3]/[3]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:01.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:13.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [3]/[3] is 3. This set of entry boxes represent the simplified form of [3]/[3]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:30.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:42.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Above is the simplified form of the expression 3y/3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:47.0 HINT HINT ES_02 ES_02-6 EG40 y = 9/3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:37:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y = 9/3 strategic 2 BUG clt y = 9/3 strategic You already solved the equation. y is 9/3. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:00.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x = -6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:01.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x = -6 strategic 2 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:04.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x = -6 strategic 3 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-10x = -6 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:10.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:10.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 2 NEXT_HINT Type in -7-10x+7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 3 OK typein -7-10x+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:25.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:26.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 5 NEXT_HINT Type in -6+7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 6 OK typein -6+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:35.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:36.0 HINT HINT ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-10x+7 = -6+7 strategic 9 OK clt -7-10x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:43.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -10x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 BUG 1-x 1-x
Perhaps you should fill in all the x terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 BUG 10x 10x
Perhaps you should fill in all the x terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:54.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select -7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG -7 -7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:38:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 BUG -7 -7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -7, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:07.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select -7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG -7 -7
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 4 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 6 OK -10x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:23.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Before working on this answer, perhaps try working on the x terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:27.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT Before working on this answer, perhaps try working on the x terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 BUG -7 -7
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:30.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT 10x In the group above, you have [-10x]. Type [-10x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 OK -10x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 BUG -7 -7
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:36.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT -7 From the original equation at the top, select -7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:41.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 7 INITIAL_HINT -7 In the group above, you have [-7]+[7]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 8 ERROR -7-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:49.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Before working on this answer, perhaps try working on the constant terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:39:54.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 9 INITIAL_HINT -7-7 In the group above, you have [-7]+[7]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 10 OK -7+7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:03.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Above, you have [-10x]+[-7+7]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -10x-7+7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:39.0 HINT HINT ES_02 ES_02-6 EG40 -10x-7+7 = -6+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:40.0 HINT HINT ES_02 ES_02-6 EG40 -10x-7+7 = -6+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10x-7+7 = -6+7 strategic 3 OK clt -6+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:48.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT In the group above, you have [-6]+[7]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:55.0 HINT HINT ES_02 ES_02-6 EG40 -10x-7+7 = 1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:40:56.0 HINT HINT ES_02 ES_02-6 EG40 -10x-7+7 = 1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10x-7+7 = 1 strategic 3 OK clt -10x-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 7 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 8 OK -10x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK +7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK -10X+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:48.0 HINT HINT ES_02 ES_02-6 EG40 -10X+0 = 1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:49.0 HINT HINT ES_02 ES_02-6 EG40 -10X+0 = 1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10X+0 = 1 strategic 3 OK clt -10X+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:53.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 6 INITIAL_HINT From the original equation at the top, select -10x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 9 OK -10X default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:41:57.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 7 INITIAL_HINT In the group above, you have [-10x]. Type [-10x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 8 OK -10X default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:04.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 11 INITIAL_HINT From the original equation at the top, select 0 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 12 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -10X default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:18.0 HINT HINT ES_02 ES_02-6 EG40 -10X = 1 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:18.0 HINT HINT ES_02 ES_02-6 EG40 -10X = 1 strategic 2 NEXT_HINT -10X is -10 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:23.0 HINT HINT ES_02 ES_02-6 EG40 -10X = 1 strategic 3 NEXT_HINT Divide both sides by -10. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10X = 1 strategic 4 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:30.0 HINT HINT ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:30.0 HINT HINT ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 2 NEXT_HINT Type in -10X/-10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 3 OK typein -10X/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:38.0 HINT HINT ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:38.0 HINT HINT ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 5 NEXT_HINT Type in 1/-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 6 OK typein 1/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:46.0 HINT HINT ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:47.0 HINT HINT ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -10X/-10 = 1/-10 strategic 9 OK rf -10X/-10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:53.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:54.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select -10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:42:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:00.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 1 INITIAL_HINT From the original equation at the top, select X from the numerator and drag it to the numerator of the X factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 BUG X X
Perhaps you should fill in the numerator of the X factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 2 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:20.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 3 INITIAL_HINT X Because there are no X factors in the denominator of -10X/-10, you must double-click in order to enter a 1. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:28.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-10]/[-10] is -10. This set of entry boxes represent the simplified form of [-10]/[-10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:39.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK X default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:43:50.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-10]/[-10] is -10. This set of entry boxes represent the simplified form of [-10]/[-10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:02.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:16.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT Above is the simplified form of the expression -10X/-10. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:26.0 HINT HINT ES_02 ES_02-6 EG40 9 = -2y+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:27.0 HINT HINT ES_02 ES_02-6 EG40 9 = -2y+2 strategic 2 NEXT_HINT 2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:32.0 HINT HINT ES_02 ES_02-6 EG40 9 = -2y+2 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = -2y+2 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:37.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:38.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 2 NEXT_HINT Type in 9-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 3 OK typein 9-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:42.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:42.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 5 NEXT_HINT Type in -2y+2-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 6 OK typein -2y+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:55.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:44:55.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-2 = -2y+2-2 strategic 9 OK clt -2y+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:03.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select -2y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -2y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:08.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 2 INITIAL_HINT In the group above, you have [-2y]. Type [-2y] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -2y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:13.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 2 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK +2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG 2' 2'
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG 2 2
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:32.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Before working on this answer, perhaps try working on the constant terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -2y+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:50.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:51.0 HINT HINT ES_02 ES_02-6 EG40 9-2 = -2y+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-2 = -2y+0 strategic 3 OK clt 9-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:59.0 HINT HINT ES_02 ES_02-6 EG40 7 = -2y+0 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:45:59.0 HINT HINT ES_02 ES_02-6 EG40 7 = -2y+0 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -2y+0 strategic 3 OK clt -2y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK -2y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 OK +0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -2y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:11.0 HINT HINT ES_02 ES_02-6 EG40 7 = -2y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:12.0 HINT HINT ES_02 ES_02-6 EG40 7 = -2y strategic 2 NEXT_HINT -2y is -2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:18.0 HINT HINT ES_02 ES_02-6 EG40 7 = -2y strategic 3 NEXT_HINT Divide both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -2y strategic 4 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:24.0 HINT HINT ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:24.0 HINT HINT ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 2 NEXT_HINT Type in 7/-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 3 OK typein 7/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:30.0 HINT HINT ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:31.0 HINT HINT ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 5 NEXT_HINT Type in -2y/-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 6 OK typein -2y/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:41.0 HINT HINT ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:42.0 HINT HINT ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/-2 = -2y/-2 strategic 9 OK rf 7/-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:48.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT Above is the simplified form of the expression 7/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK -7/2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:54.0 HINT HINT ES_02 ES_02-6 EG40 -7/2 = -2y/-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:56.0 HINT HINT ES_02 ES_02-6 EG40 -7/2 = -2y/-2 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:46:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7/2 = -2y/-2 strategic 3 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:00.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:01.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select -2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:27.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 4 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:36.0 HINT HINT ES_02 ES_02-6 EG40 row2y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:47:53.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-2]/[-2] is -2. This set of entry boxes represent the simplified form of [-2]/[-2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:04.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:15.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-2]/[-2] is -2. This set of entry boxes represent the simplified form of [-2]/[-2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:26.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:38.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT Above is the simplified form of the expression -2y/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:43.0 HINT HINT ES_02 ES_02-6 EG40 -7/2 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:44.0 HINT HINT ES_02 ES_02-6 EG40 -7/2 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:53.0 HINT HINT ES_02 ES_02-6 EG40 9-5x = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:54.0 HINT HINT ES_02 ES_02-6 EG40 9-5x = 6 strategic 2 NEXT_HINT 9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:48:58.0 HINT HINT ES_02 ES_02-6 EG40 9-5x = 6 strategic 3 NEXT_HINT You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-5x = 6 strategic 4 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:03.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:04.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 2 NEXT_HINT Type in 9-5x-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 3 OK typein 9-5x-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:16.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:16.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 5 NEXT_HINT Type in 6-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 6 OK typein 6-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:20.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:21.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-5x-9 = 6-9 strategic 9 OK clt 6-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:31.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:33.0 HINT HINT ES_02 ES_02-6 EG40 9-5x-9 = -3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-5x-9 = -3 strategic 3 ERROR mt 9-5x-9 = -3 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-5x-9 = -3 strategic 4 OK clt 9-5x-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:39.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -5x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:45.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 2 INITIAL_HINT In the group above, you have [-5x]. Type [-5x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK -5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:53.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 9 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG 9 9
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:49:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -5x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:11.0 HINT HINT ES_02 ES_02-6 EG40 -5x = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:12.0 HINT HINT ES_02 ES_02-6 EG40 -5x = -3 strategic 2 NEXT_HINT -5x is -5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:15.0 HINT HINT ES_02 ES_02-6 EG40 -5x = -3 strategic 3 NEXT_HINT Divide both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x = -3 strategic 4 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:21.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:21.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 2 NEXT_HINT Type in -5x/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 3 OK typein -5x/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:29.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:30.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 5 NEXT_HINT Type in -3/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 6 ERROR typein -5/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 7 OK typein -3/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:49.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 8 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:50:50.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 9 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = -3/-5 strategic 10 OK rf -3/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:06.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression -3/-5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 3/5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:12.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = 3/5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:13.0 HINT HINT ES_02 ES_02-6 EG40 -5x/-5 = 3/5 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5x/-5 = 3/5 strategic 3 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:18.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:19.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select -5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:27.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 4 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:36.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:51:49.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[-5] is -5. This set of entry boxes represent the simplified form of [-5]/[-5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:03.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:14.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[-5] is -5. This set of entry boxes represent the simplified form of [-5]/[-5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:27.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:39.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT Above is the simplified form of the expression -5x/-5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:45.0 HINT HINT ES_02 ES_02-6 EG40 x = 3/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:50.0 HINT HINT ES_02 ES_02-6 EG40 6x+2 = -1 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:51.0 HINT HINT ES_02 ES_02-6 EG40 6x+2 = -1 strategic 2 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:52:55.0 HINT HINT ES_02 ES_02-6 EG40 6x+2 = -1 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2 = -1 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:01.0 HINT HINT ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:01.0 HINT HINT ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 2 NEXT_HINT Type in 6x+2-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 3 OK typein 6x+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:11.0 HINT HINT ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:12.0 HINT HINT ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 5 NEXT_HINT Type in -1-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 6 OK typein -1-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:16.0 HINT HINT ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:16.0 HINT HINT ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-2 = -1-2 strategic 9 OK clt 6x+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK +2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 6x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:38.0 HINT HINT ES_02 ES_02-6 EG40 6x = -1-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:39.0 HINT HINT ES_02 ES_02-6 EG40 6x = -1-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x = -1-2 strategic 3 OK clt -1-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:46.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-1]+[-2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:55.0 HINT HINT ES_02 ES_02-6 EG40 6x = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:56.0 HINT HINT ES_02 ES_02-6 EG40 6x = -3 strategic 2 NEXT_HINT 6x is 6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:53:59.0 HINT HINT ES_02 ES_02-6 EG40 6x = -3 strategic 3 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x = -3 strategic 4 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:09.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:10.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 2 NEXT_HINT Type in 6x/6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 3 OK typein 6x/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:18.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:19.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 5 NEXT_HINT Type in -3/6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 6 OK typein -3/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:31.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:32.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -3/6 strategic 9 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:39.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:40.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:54:52.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:55:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 4 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session25 2005-12-21 08:55:04.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:03.0 HINT HINT ES_02 ES_02-6 EG40 2x+7 = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:04.0 HINT HINT ES_02 ES_02-6 EG40 2x+7 = -4 strategic 2 NEXT_HINT 7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:08.0 HINT HINT ES_02 ES_02-6 EG40 2x+7 = -4 strategic 3 NEXT_HINT You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x+7 = -4 strategic 4 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:15.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:17.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 2 NEXT_HINT Type in 2x+7-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 3 OK typein 2x+7-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:31.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:32.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 5 NEXT_HINT Type in -4-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 6 OK typein -4-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:42.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:44.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 9 OK clt 2x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:15:58.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select 2x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:04.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 2 INITIAL_HINT In the group above, you have [2x]. Type [2x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:08.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:14.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select -7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:18.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT In the group above, you have [7]+[-7]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 OK 7+(-7) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:31.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT Above, you have [2x]+[7+(-7)]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:35.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT Above, you have [2x]+[7+(-7)]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:16:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK 2x+7+(-7) default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:37.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 10 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:37.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 11 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x+7-7 = -4-7 strategic 12 OK clt -4-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:43.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT In the group above, you have [-4]+[-7]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -11 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:53.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -11 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:54.0 HINT HINT ES_02 ES_02-6 EG40 2x+7-7 = -11 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x+7-7 = -11 strategic 3 OK clt 2x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:17:58.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT From the original equation at the top, select 2x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 2x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 2x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:44.0 HINT HINT ES_02 ES_02-6 EG40 2x = -11 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:45.0 HINT HINT ES_02 ES_02-6 EG40 2x = -11 strategic 2 NEXT_HINT 2x is 2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:48.0 HINT HINT ES_02 ES_02-6 EG40 2x = -11 strategic 3 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x = -11 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:55.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:18:56.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 2 NEXT_HINT Type in 2x/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 3 OK typein 2x/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:02.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:03.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 5 NEXT_HINT Type in -11/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 6 OK typein -11/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:10.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:11.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 8 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 9 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:17.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:20.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:25.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:36.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 4 INITIAL_HINT From the original equation at the top, select 2 from the denominator and drag it to the denominator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:49.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select 2 from the denominator and drag it to the denominator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:19:56.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 6 INITIAL_HINT From the original equation at the top, select 2 from the denominator and drag it to the denominator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 7 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:03.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:19.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the constant factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:28.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT The common factor between the numerator and denominator of [2]/[2] is 2. This set of entry boxes represent the simplified form of [2]/[2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 2/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:34.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:44.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [2]/[2] is 2. This set of entry boxes represent the simplified form of [2]/[2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:49.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 ERROR 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:20:57.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 3 INITIAL_HINT 1x The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:10.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression 2x/2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK 2x/2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:17.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:17.0 HINT HINT ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 11 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2x/2 = -11/2 strategic 12 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:24.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 8 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:32.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 9 INITIAL_HINT From the original equation at the top, select 2 from the denominator and drag it to the denominator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 3 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:38.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 10 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 11 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:46.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:21:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:03.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-x strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 4 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 5 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:10.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [2]/[2] is 2. This set of entry boxes represent the simplified form of [2]/[2]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:13.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 5 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:25.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 11 INITIAL_HINT Above is the simplified form of the expression 2x/2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:30.0 HINT HINT ES_02 ES_02-6 EG40 x = -11/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:31.0 HINT HINT ES_02 ES_02-6 EG40 x = -11/2 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:36.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x = -10 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:37.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x = -10 strategic 2 NEXT_HINT -8 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:40.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x = -10 strategic 3 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+5x = -10 strategic 4 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:47.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:48.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 2 NEXT_HINT Type in -8+5x+8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 3 OK typein -8+5x+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:22:59.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:00.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 5 NEXT_HINT Type in -10+8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 6 OK typein -10+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:05.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:06.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+5x+8 = -10+8 strategic 9 OK clt -10+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:13.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-10]+[8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:21.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:22.0 HINT HINT ES_02 ES_02-6 EG40 -8+5x+8 = -2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8+5x+8 = -2 strategic 3 OK clt -8+5x+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:32.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select 5x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:37.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 2 INITIAL_HINT In the group above, you have [5x]. Type [5x] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 3 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:41.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select -8 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:47.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select 8 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG 8 8
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:23:59.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT 8 In the group above, you have [-8]+[+8]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 OK -8+8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:07.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 3 INITIAL_HINT Above, you have [5x]+[-8+8]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 5x+16 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 5x+-16 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 5x+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:35.0 HINT HINT ES_02 ES_02-6 EG40 5x+0 = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:36.0 HINT HINT ES_02 ES_02-6 EG40 5x+0 = -2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x+0 = -2 strategic 3 OK clt 5x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:40.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 4 INITIAL_HINT From the original equation at the top, select 5x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 5 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:48.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT From the original equation at the top, select 0 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:51.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 7 INITIAL_HINT Above, you have [5x]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK 5x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:58.0 HINT HINT ES_02 ES_02-6 EG40 5x = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:24:59.0 HINT HINT ES_02 ES_02-6 EG40 5x = -2 strategic 2 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:02.0 HINT HINT ES_02 ES_02-6 EG40 5x = -2 strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x = -2 strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:10.0 HINT HINT ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:11.0 HINT HINT ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 2 NEXT_HINT Type in 5x/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 3 OK typein 5x/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:16.0 HINT HINT ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:17.0 HINT HINT ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 5 NEXT_HINT Type in -2/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 6 OK typein -2/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:21.0 HINT HINT ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:21.0 HINT HINT ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 8 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5x/5 = -2/5 strategic 9 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:28.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:37.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:44.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:50.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[5] is 5. This set of entry boxes represent the simplified form of [5]/[5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 OK 5/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:25:57.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:06.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[5] is 5. This set of entry boxes represent the simplified form of [5]/[5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:12.0 HINT HINT ES_02 ES_02-6 EG40 row3-D-x strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 ERROR 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:23.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression 5x/5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:37.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 2x+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:37.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 2x+2 strategic 2 NEXT_HINT 2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:41.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 2x+2 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 2x+2 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:46.0 HINT HINT ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:46.0 HINT HINT ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 2 NEXT_HINT Type in -1-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 3 OK typein -1-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:51.0 HINT HINT ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:26:52.0 HINT HINT ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 5 NEXT_HINT Type in 2x+2-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 6 OK typein 2x+2-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:02.0 HINT HINT ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:03.0 HINT HINT ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-2 = 2x+2-2 strategic 9 OK clt -1-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:09.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-1]+[-2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:17.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:18.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x+2-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 2x+2-2 strategic 3 OK clt 2x+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:22.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select 2x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 2x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:30.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:31.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x strategic 2 NEXT_HINT 2x is 2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:34.0 HINT HINT ES_02 ES_02-6 EG40 -3 = 2x strategic 3 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 2x strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:39.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:40.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 2 NEXT_HINT Type in -3/2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 3 OK typein -3/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:45.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:46.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 5 NEXT_HINT Type in 2x/2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 6 OK typein 2x/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:50.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:51.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3/2 = 2x/2 strategic 9 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:27:59.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:13.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:16.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 5 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:21.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:31.0 HINT HINT ES_02 ES_02-6 EG40 -3/2 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:38.0 HINT HINT ES_02 ES_02-6 EG40 -2 = 10x-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:38.0 HINT HINT ES_02 ES_02-6 EG40 -2 = 10x-9 strategic 2 NEXT_HINT -9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:42.0 HINT HINT ES_02 ES_02-6 EG40 -2 = 10x-9 strategic 3 NEXT_HINT You can add 9 to both sides of the equation to eliminate the constant value of -9 (-9 + 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 10x-9 strategic 4 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:48.0 HINT HINT ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:48.0 HINT HINT ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 2 NEXT_HINT Type in -2+9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 3 OK typein -2+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:53.0 HINT HINT ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:28:54.0 HINT HINT ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 5 NEXT_HINT Type in 10x-9+9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 6 OK typein 10x-9+9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:06.0 HINT HINT ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:07.0 HINT HINT ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+9 = 10x-9+9 strategic 9 OK clt -2+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:14.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-2]+[9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:22.0 HINT HINT ES_02 ES_02-6 EG40 7 = 10x-9+9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:23.0 HINT HINT ES_02 ES_02-6 EG40 7 = 10x-9+9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 10x-9+9 strategic 3 OK clt 10x-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:27.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select 10x and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 10x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:35.0 HINT HINT ES_02 ES_02-6 EG40 7 = 10x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:36.0 HINT HINT ES_02 ES_02-6 EG40 7 = 10x strategic 2 NEXT_HINT 10x is 10 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:39.0 HINT HINT ES_02 ES_02-6 EG40 7 = 10x strategic 3 NEXT_HINT Divide both sides by 10. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 10x strategic 4 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:47.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:29:55.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 2 NEXT_HINT Type in 7/10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 3 OK typein 7/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:01.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:02.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 5 NEXT_HINT Type in 10x/10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 6 OK typein 10x/10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:11.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:12.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/10 = 10x/10 strategic 9 OK rf 10x/10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:17.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:22.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:24.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT From the original equation at the top, select 10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:28.0 HINT HINT ES_02 ES_02-6 EG40 7/10 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:32.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:33.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x = 2 strategic 2 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:36.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x = 2 strategic 3 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x = 2 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:41.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:42.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 2 NEXT_HINT Type in -7-8x+7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 3 OK typein -7-8x+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:57.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:30:59.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 5 NEXT_HINT Type in 2+7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 6 OK typein 2+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:04.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:04.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x+7 = 2+7 strategic 9 OK clt 2+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:21.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:22.0 HINT HINT ES_02 ES_02-6 EG40 -7-8x+7 = 9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x+7 = 9 strategic 3 OK clt -7-8x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 BUG 8x 8x
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -8x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:38.0 HINT HINT ES_02 ES_02-6 EG40 -8x = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:39.0 HINT HINT ES_02 ES_02-6 EG40 -8x = 9 strategic 2 NEXT_HINT -8x is -8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:44.0 HINT HINT ES_02 ES_02-6 EG40 -8x = 9 strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = 9 strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:50.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:51.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 2 NEXT_HINT Type in -8x/-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 3 OK typein -8x/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:56.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:31:57.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 5 NEXT_HINT Type in 9/-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 6 OK typein 9/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:02.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:03.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = 9/-8 strategic 9 OK rf 9/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:09.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 4 INITIAL_HINT Above is the simplified form of the expression 9/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -9/8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:18.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = -9/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:19.0 HINT HINT ES_02 ES_02-6 EG40 -8x/-8 = -9/8 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = -9/8 strategic 3 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:24.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 BUG -1x -1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:34.0 HINT HINT ES_02 ES_02-6 EG40 x = -9/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:37.0 HINT HINT ES_02 ES_02-6 EG40 x = -9/8 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:43.0 HINT HINT ES_02 ES_02-6 EG40 -2 = -1+5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:49.0 HINT HINT ES_02 ES_02-6 EG40 -2 = -1+5x strategic 2 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:52.0 HINT HINT ES_02 ES_02-6 EG40 -2 = -1+5x strategic 3 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:32:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -1+5x strategic 4 BUG add -1 To remove -1 from the right side, you can add a positive to it. Erase your last step and add 1 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -1+5x strategic 5 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:05.0 HINT HINT ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:06.0 HINT HINT ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 2 NEXT_HINT Type in -2+1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 3 OK typein -2+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:10.0 HINT HINT ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:11.0 HINT HINT ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 5 NEXT_HINT Type in -1+5x+1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 6 OK typein -1+5x+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+1 = -1+5x+1 strategic 7 OK clt -2+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:35.0 HINT HINT ES_02 ES_02-6 EG40 -1 = -1+5x+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:36.0 HINT HINT ES_02 ES_02-6 EG40 -1 = -1+5x+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -1+5x+1 strategic 3 OK clt -1+5x+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG 5z 5z
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK 5x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:48.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:49.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 5x strategic 2 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:52.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 5x strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 5x strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:58.0 HINT HINT ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:33:59.0 HINT HINT ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 2 NEXT_HINT Type in -1/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 3 OK typein -1/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:04.0 HINT HINT ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:05.0 HINT HINT ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 5 NEXT_HINT Type in 5x/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 6 OK typein 5x/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:09.0 HINT HINT ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:12.0 HINT HINT ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/5 = 5x/5 strategic 9 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:16.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:31.0 HINT HINT ES_02 ES_02-6 EG40 7 = 8+3y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:32.0 HINT HINT ES_02 ES_02-6 EG40 7 = 8+3y strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:36.0 HINT HINT ES_02 ES_02-6 EG40 7 = 8+3y strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 8+3y strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:42.0 HINT HINT ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:42.0 HINT HINT ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 2 NEXT_HINT Type in 7-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 3 OK typein 7-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:46.0 HINT HINT ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:47.0 HINT HINT ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 5 NEXT_HINT Type in 8+3y-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 6 OK typein 8+3y-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:57.0 HINT HINT ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:34:58.0 HINT HINT ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-8 = 8+3y-8 strategic 9 OK clt 7-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:07.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 8+3y-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:07.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 8+3y-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 8+3y-8 strategic 3 OK clt 8+3y-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 3y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:18.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 3y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:19.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 3y strategic 2 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:22.0 HINT HINT ES_02 ES_02-6 EG40 -1 = 3y strategic 3 NEXT_HINT Divide both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 3y strategic 4 ERROR divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = 3y strategic 5 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:35.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:35.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 2 NEXT_HINT Type in -1/3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 3 OK typein -1/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:39.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:41.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 5 NEXT_HINT Type in 3y/3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 6 OK typein 3y/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:46.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:47.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/3 = 3y/3 strategic 9 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:52.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:35:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:01.0 HINT HINT ES_02 ES_02-6 EG40 -1/3 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:06.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:07.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x = -4 strategic 2 NEXT_HINT -6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:10.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x = -4 strategic 3 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x = -4 strategic 4 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:16.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:17.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 2 NEXT_HINT Type in -6+6x+6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:31.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:32.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 4 NEXT_HINT Type in -6+6x+6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 5 OK typein -6+6x+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:45.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:45.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 7 NEXT_HINT Type in -4+6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 8 BUG typein -4-6 -4-6 is equal to -4 minus 6. You need to calculate -4 plus 6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 9 BUG typein 4-6 The result should be positive. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:58.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 10 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:36:58.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 11 NEXT_HINT Type in -4+6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 12 OK typein -4+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:10.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 13 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:12.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 14 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x+6 = -4+6 strategic 15 OK clt -4+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:17.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-4]+[6]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:25.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:25.0 HINT HINT ES_02 ES_02-6 EG40 -6+6x+6 = 2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+6x+6 = 2 strategic 3 OK clt -6+6x+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 6x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:33.0 HINT HINT ES_02 ES_02-6 EG40 6x = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:33.0 HINT HINT ES_02 ES_02-6 EG40 6x = 2 strategic 2 NEXT_HINT 6x is 6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:37.0 HINT HINT ES_02 ES_02-6 EG40 6x = 2 strategic 3 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x = 2 strategic 4 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:43.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:44.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 2 NEXT_HINT Type in 6x/6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 3 OK typein 6x/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:49.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:49.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 5 NEXT_HINT Type in 2/6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 6 OK typein 2/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:54.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:37:55.0 HINT HINT ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = 2/6 strategic 9 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:02.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:08.0 HINT HINT ES_02 ES_02-6 EG40 x = 2/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:13.0 HINT HINT ES_02 ES_02-6 EG40 2 = 5x+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:14.0 HINT HINT ES_02 ES_02-6 EG40 2 = 5x+4 strategic 2 NEXT_HINT 4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:18.0 HINT HINT ES_02 ES_02-6 EG40 2 = 5x+4 strategic 3 NEXT_HINT You can subtract 4 from both sides of the equation to eliminate the constant value of 4 (4 - 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = 5x+4 strategic 4 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:25.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:26.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 2 NEXT_HINT Type in 2-4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 3 OK typein 2-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:29.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:30.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 5 NEXT_HINT Type in 5x+4-4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 6 OK typein 5x+4-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:36.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:37.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-4 = 5x+4-4 strategic 9 OK clt 5x+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 5x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:45.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:46.0 HINT HINT ES_02 ES_02-6 EG40 2-4 = 5x strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-4 = 5x strategic 3 OK clt 2-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:52.0 HINT HINT ES_02 ES_02-6 EG40 -2 = 5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:53.0 HINT HINT ES_02 ES_02-6 EG40 -2 = 5x strategic 2 NEXT_HINT 5x is 5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:38:56.0 HINT HINT ES_02 ES_02-6 EG40 -2 = 5x strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 5x strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:05.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:05.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 2 NEXT_HINT Type in -2/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 3 BUG typein -2/-5 You are dividing a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:14.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:15.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 5 NEXT_HINT Type in -2/5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 6 OK typein -2/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:21.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:22.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 8 NEXT_HINT Type in 5x/5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 9 OK typein 5x/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:25.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:26.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 11 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2/5 = 5x/5 strategic 12 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:31.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:44.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:51.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:52.0 HINT HINT ES_02 ES_02-6 EG40 -2/5 = x strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:56.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7 = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:39:56.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7 = -2 strategic 2 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:01.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7 = -2 strategic 3 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-7 = -2 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:07.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:08.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 2 NEXT_HINT Type in -6y-7+7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 3 OK typein -6y-7+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:20.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:20.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 5 NEXT_HINT Type in -2+7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 6 OK typein -2+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:25.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:27.0 HINT HINT ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y-7+7 = -2+7 strategic 9 OK clt -6y-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:45.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 1 INITIAL_HINT From the original equation at the top, select -6y and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:40:50.0 HINT HINT ES_02 ES_02-6 EG40 yR2 strategic 2 INITIAL_HINT In the group above, you have [-6y]. Type [-6y] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK -6y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:05.0 HINT HINT ES_02 ES_02-6 EG40 -6y = -2+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:12.0 HINT HINT ES_02 ES_02-6 EG40 -6y = -2+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = -2+7 strategic 3 OK clt -2+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:17.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-2]+[7]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:28.0 HINT HINT ES_02 ES_02-6 EG40 -6y = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:29.0 HINT HINT ES_02 ES_02-6 EG40 -6y = 5 strategic 2 NEXT_HINT -6y is -6 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:32.0 HINT HINT ES_02 ES_02-6 EG40 -6y = 5 strategic 3 NEXT_HINT Divide both sides by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y = 5 strategic 4 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:42.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:43.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 2 NEXT_HINT Type in -6y/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 3 OK typein -6y/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:49.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:50.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 5 NEXT_HINT Type in 5/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 6 OK typein 5/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:55.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:41:55.0 HINT HINT ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6y/-6 = 5/-6 strategic 9 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:04.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 BUG -1x -1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 BUG -1y -1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:19.0 HINT HINT ES_02 ES_02-6 EG40 y = 5/-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:20.0 HINT HINT ES_02 ES_02-6 EG40 y = 5/-6 strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:27.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-1 = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:27.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-1 = 5 strategic 2 NEXT_HINT -1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:30.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-1 = 5 strategic 3 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-1 = 5 strategic 4 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:36.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-1+1 = 5+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:37.0 HINT HINT ES_02 ES_02-7 EG41 x/-2-1+1 = 5+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2-1+1 = 5+1 strategic 3 OK clt x/-2-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:47.0 HINT HINT ES_02 ES_02-7 EG41 x/-2 = 5+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:48.0 HINT HINT ES_02 ES_02-7 EG41 x/-2 = 5+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 5+1 strategic 3 OK clt 5+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:55.0 HINT HINT ES_02 ES_02-7 EG41 x/-2 = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:42:56.0 HINT HINT ES_02 ES_02-7 EG41 x/-2 = 6 strategic 2 NEXT_HINT In x/-2, x is divided by -2. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:00.0 HINT HINT ES_02 ES_02-7 EG41 x/-2 = 6 strategic 3 NEXT_HINT Multiply both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2 = 6 strategic 4 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:05.0 HINT HINT ES_02 ES_02-7 EG41 x/-2*-2 = 6*-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:06.0 HINT HINT ES_02 ES_02-7 EG41 x/-2*-2 = 6*-2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-2*-2 = 6*-2 strategic 3 OK mt x/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:11.0 HINT HINT ES_02 ES_02-7 EG41 x = 6*-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:12.0 HINT HINT ES_02 ES_02-7 EG41 x = 6*-2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 6*-2 strategic 3 OK mt 6*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:15.0 HINT HINT ES_02 ES_02-7 EG41 x = -12 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:19.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/-6-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:20.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/-6-10 strategic 2 NEXT_HINT -10 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:24.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/-6-10 strategic 3 NEXT_HINT You can add 10 to both sides of the equation to eliminate the constant value of -10 (-10 + 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/-6-10 strategic 4 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:30.0 HINT HINT ES_02 ES_02-7 EG41 -8+10 = x/-6-10+10 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+10 = x/-6-10+10 strategic 2 OK rf x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:35.0 HINT HINT ES_02 ES_02-7 EG41 -8+10 = -x/6-10+10 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:36.0 HINT HINT ES_02 ES_02-7 EG41 -8+10 = -x/6-10+10 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+10 = -x/6-10+10 strategic 3 OK clt -x/6-10+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:40.0 HINT HINT ES_02 ES_02-7 EG41 -8+10 = -x/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:41.0 HINT HINT ES_02 ES_02-7 EG41 -8+10 = -x/6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+10 = -x/6 strategic 3 OK clt -8+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:44.0 HINT HINT ES_02 ES_02-7 EG41 2 = -x/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:45.0 HINT HINT ES_02 ES_02-7 EG41 2 = -x/6 strategic 2 NEXT_HINT In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:43:48.0 HINT HINT ES_02 ES_02-7 EG41 2 = -x/6 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -6/1, which is the same as mulitplying by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = -x/6 strategic 4 OK multiply -6/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:02.0 HINT HINT ES_02 ES_02-7 EG41 2*-6/1 = (-x/6)*(-6/1) strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:02.0 HINT HINT ES_02 ES_02-7 EG41 2*-6/1 = (-x/6)*(-6/1) strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2*-6/1 = (-x/6)*(-6/1) strategic 3 OK mt 2*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:09.0 HINT HINT ES_02 ES_02-7 EG41 -12/1 = (-x/6)*(-6/1) strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:10.0 HINT HINT ES_02 ES_02-7 EG41 -12/1 = (-x/6)*(-6/1) strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12/1 = (-x/6)*(-6/1) strategic 3 OK mt (-x/6)*(-6/1) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:17.0 HINT HINT ES_02 ES_02-7 EG41 -12/1 = x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:18.0 HINT HINT ES_02 ES_02-7 EG41 -12/1 = x strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -12/1 = x strategic 3 OK rf -12/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:22.0 HINT HINT ES_02 ES_02-7 EG41 -12 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:29.0 HINT HINT ES_02 ES_02-7 EG41 8 = x/-8+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:30.0 HINT HINT ES_02 ES_02-7 EG41 8 = x/-8+2 strategic 2 NEXT_HINT 2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:35.0 HINT HINT ES_02 ES_02-7 EG41 8 = x/-8+2 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/-8+2 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:41.0 HINT HINT ES_02 ES_02-7 EG41 8-2 = x/-8+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:42.0 HINT HINT ES_02 ES_02-7 EG41 8-2 = x/-8+2-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8-2 = x/-8+2-2 strategic 3 OK clt x/-8+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:47.0 HINT HINT ES_02 ES_02-7 EG41 8-2 = x/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:47.0 HINT HINT ES_02 ES_02-7 EG41 8-2 = x/-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8-2 = x/-8 strategic 3 OK clt 8-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:51.0 HINT HINT ES_02 ES_02-7 EG41 6 = x/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:51.0 HINT HINT ES_02 ES_02-7 EG41 6 = x/-8 strategic 2 NEXT_HINT In x/-8, x is divided by -8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:44:55.0 HINT HINT ES_02 ES_02-7 EG41 6 = x/-8 strategic 3 NEXT_HINT Multiply both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = x/-8 strategic 4 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:01.0 HINT HINT ES_02 ES_02-7 EG41 6*-8 = x/-8*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:02.0 HINT HINT ES_02 ES_02-7 EG41 6*-8 = x/-8*-8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*-8 = x/-8*-8 strategic 3 OK mt 6*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:06.0 HINT HINT ES_02 ES_02-7 EG41 -48 = x/-8*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:07.0 HINT HINT ES_02 ES_02-7 EG41 -48 = x/-8*-8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -48 = x/-8*-8 strategic 3 OK mt x/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:11.0 HINT HINT ES_02 ES_02-7 EG41 -48 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:17.0 HINT HINT ES_02 ES_02-7 EG41 4 = -6+(y/-8) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:18.0 HINT HINT ES_02 ES_02-7 EG41 4 = -6+(y/-8) strategic 2 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:21.0 HINT HINT ES_02 ES_02-7 EG41 4 = -6+(y/-8) strategic 3 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = -6+(y/-8) strategic 4 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:27.0 HINT HINT ES_02 ES_02-7 EG41 4+6 = -6+(y/-8)+6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:28.0 HINT HINT ES_02 ES_02-7 EG41 4+6 = -6+(y/-8)+6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+6 = -6+(y/-8)+6 strategic 3 OK clt -6+(y/-8)+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:33.0 HINT HINT ES_02 ES_02-7 EG41 4+6 = y/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:34.0 HINT HINT ES_02 ES_02-7 EG41 4+6 = y/-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+6 = y/-8 strategic 3 OK clt 4+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:36.0 HINT HINT ES_02 ES_02-7 EG41 10 = y/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:37.0 HINT HINT ES_02 ES_02-7 EG41 10 = y/-8 strategic 2 NEXT_HINT In y/-8, y is divided by -8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:41.0 HINT HINT ES_02 ES_02-7 EG41 10 = y/-8 strategic 3 NEXT_HINT Multiply both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = y/-8 strategic 4 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:46.0 HINT HINT ES_02 ES_02-7 EG41 10*-8 = y/-8*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:46.0 HINT HINT ES_02 ES_02-7 EG41 10*-8 = y/-8*-8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*-8 = y/-8*-8 strategic 3 OK mt y/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:51.0 HINT HINT ES_02 ES_02-7 EG41 10*-8 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:52.0 HINT HINT ES_02 ES_02-7 EG41 10*-8 = y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*-8 = y strategic 3 OK mt 10*-8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:45:55.0 HINT HINT ES_02 ES_02-7 EG41 -80 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:00.0 HINT HINT ES_02 ES_02-7 EG41 y/7-2 = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:01.0 HINT HINT ES_02 ES_02-7 EG41 y/7-2 = 0 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:05.0 HINT HINT ES_02 ES_02-7 EG41 y/7-2 = 0 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/7-2 = 0 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:10.0 HINT HINT ES_02 ES_02-7 EG41 y/7-2+2 = 0+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:12.0 HINT HINT ES_02 ES_02-7 EG41 y/7-2+2 = 0+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/7-2+2 = 0+2 strategic 3 OK clt y/7-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:17.0 HINT HINT ES_02 ES_02-7 EG41 y/7 = 0+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:19.0 HINT HINT ES_02 ES_02-7 EG41 y/7 = 0+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/7 = 0+2 strategic 3 OK clt 0+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:32.0 HINT HINT ES_02 ES_02-7 EG41 y/7 = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:33.0 HINT HINT ES_02 ES_02-7 EG41 y/7 = 2 strategic 2 NEXT_HINT In y/7, y is divided by 7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:37.0 HINT HINT ES_02 ES_02-7 EG41 y/7 = 2 strategic 3 NEXT_HINT Multiply both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/7 = 2 strategic 4 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:42.0 HINT HINT ES_02 ES_02-7 EG41 y/7*7 = 2*7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:43.0 HINT HINT ES_02 ES_02-7 EG41 y/7*7 = 2*7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/7*7 = 2*7 strategic 3 OK mt y/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:48.0 HINT HINT ES_02 ES_02-7 EG41 y = 2*7 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:49.0 HINT HINT ES_02 ES_02-7 EG41 y = 2*7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 2*7 strategic 3 OK mt 2*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:59.0 HINT HINT ES_02 ES_02-7 EG41 1 = 10+(y/-4) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:46:59.0 HINT HINT ES_02 ES_02-7 EG41 1 = 10+(y/-4) strategic 2 NEXT_HINT 10 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:06.0 HINT HINT ES_02 ES_02-7 EG41 1 = 10+(y/-4) strategic 3 NEXT_HINT You can subtract 10 from both sides of the equation to eliminate the constant value of 10 (10 - 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = 10+(y/-4) strategic 4 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:14.0 HINT HINT ES_02 ES_02-7 EG41 1-10 = 10+(y/-4)-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:15.0 HINT HINT ES_02 ES_02-7 EG41 1-10 = 10+(y/-4)-10 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1-10 = 10+(y/-4)-10 strategic 3 OK clt 10+(y/-4)-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:20.0 HINT HINT ES_02 ES_02-7 EG41 1-10 = y/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:20.0 HINT HINT ES_02 ES_02-7 EG41 1-10 = y/-4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1-10 = y/-4 strategic 3 OK clt 1-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:24.0 HINT HINT ES_02 ES_02-7 EG41 -9 = y/-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:32.0 HINT HINT ES_02 ES_02-7 EG41 -9 = y/-4 strategic 2 NEXT_HINT In y/-4, y is divided by -4. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:37.0 HINT HINT ES_02 ES_02-7 EG41 -9 = y/-4 strategic 3 NEXT_HINT Multiply both sides by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = y/-4 strategic 4 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:48.0 HINT HINT ES_02 ES_02-7 EG41 -9*-4 = y/-4*-4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:49.0 HINT HINT ES_02 ES_02-7 EG41 -9*-4 = y/-4*-4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9*-4 = y/-4*-4 strategic 3 OK mt y/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:54.0 HINT HINT ES_02 ES_02-7 EG41 -9*-4 = y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:55.0 HINT HINT ES_02 ES_02-7 EG41 -9*-4 = y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9*-4 = y strategic 3 OK mt -9*-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:47:59.0 HINT HINT ES_02 ES_02-7 EG41 36 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:05.0 HINT HINT ES_02 ES_02-7 EG41 y/-5-2 = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:06.0 HINT HINT ES_02 ES_02-7 EG41 y/-5-2 = -9 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:09.0 HINT HINT ES_02 ES_02-7 EG41 y/-5-2 = -9 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5-2 = -9 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:15.0 HINT HINT ES_02 ES_02-7 EG41 y/-5-2+2 = -9+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:16.0 HINT HINT ES_02 ES_02-7 EG41 y/-5-2+2 = -9+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5-2+2 = -9+2 strategic 3 OK clt y/-5-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:50.0 HINT HINT ES_02 ES_02-7 EG41 y/-5 = -9+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:52.0 HINT HINT ES_02 ES_02-7 EG41 y/-5 = -9+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5 = -9+2 strategic 3 OK clt -9+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:58.0 HINT HINT ES_02 ES_02-7 EG41 y/-5 = -7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:48:59.0 HINT HINT ES_02 ES_02-7 EG41 y/-5 = -7 strategic 2 NEXT_HINT In y/-5, y is divided by -5. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:02.0 HINT HINT ES_02 ES_02-7 EG41 y/-5 = -7 strategic 3 NEXT_HINT Multiply both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5 = -7 strategic 4 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:08.0 HINT HINT ES_02 ES_02-7 EG41 y/-5*-5 = -7*-5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:09.0 HINT HINT ES_02 ES_02-7 EG41 y/-5*-5 = -7*-5 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5*-5 = -7*-5 strategic 3 OK mt -7*-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:15.0 HINT HINT ES_02 ES_02-7 EG41 y/-5*-5 = 35 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:15.0 HINT HINT ES_02 ES_02-7 EG41 y/-5*-5 = 35 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-5*-5 = 35 strategic 3 OK mt y/-5*-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:19.0 HINT HINT ES_02 ES_02-7 EG41 y = 35 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:26.0 HINT HINT ES_02 ES_02-7 EG41 -1+(y/-2) = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:27.0 HINT HINT ES_02 ES_02-7 EG41 -1+(y/-2) = 5 strategic 2 NEXT_HINT -1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:30.0 HINT HINT ES_02 ES_02-7 EG41 -1+(y/-2) = 5 strategic 3 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(y/-2) = 5 strategic 4 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:37.0 HINT HINT ES_02 ES_02-7 EG41 -1+(y/-2)+1 = 5+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:38.0 HINT HINT ES_02 ES_02-7 EG41 -1+(y/-2)+1 = 5+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+(y/-2)+1 = 5+1 strategic 3 OK clt -1+(y/-2)+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:46.0 HINT HINT ES_02 ES_02-7 EG41 y/-2 = 5+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:47.0 HINT HINT ES_02 ES_02-7 EG41 y/-2 = 5+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 5+1 strategic 3 OK clt 5+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:55.0 HINT HINT ES_02 ES_02-7 EG41 y/-2 = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:49:59.0 HINT HINT ES_02 ES_02-7 EG41 y/-2 = 6 strategic 2 NEXT_HINT In y/-2, y is divided by -2. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:02.0 HINT HINT ES_02 ES_02-7 EG41 y/-2 = 6 strategic 3 NEXT_HINT Multiply both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2 = 6 strategic 4 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:10.0 HINT HINT ES_02 ES_02-7 EG41 y/-2*-2 = 6*-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:11.0 HINT HINT ES_02 ES_02-7 EG41 y/-2*-2 = 6*-2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2*-2 = 6*-2 strategic 3 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:17.0 HINT HINT ES_02 ES_02-7 EG41 y = 6*-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:17.0 HINT HINT ES_02 ES_02-7 EG41 y = 6*-2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 6*-2 strategic 3 OK mt 6*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:21.0 HINT HINT ES_02 ES_02-7 EG41 y = -12 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:22.0 HINT HINT ES_02 ES_02-7 EG41 y = -12 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:26.0 HINT HINT ES_02 ES_02-7 EG41 x/-7-7 = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:26.0 HINT HINT ES_02 ES_02-7 EG41 x/-7-7 = -9 strategic 2 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:31.0 HINT HINT ES_02 ES_02-7 EG41 x/-7-7 = -9 strategic 3 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7-7 = -9 strategic 4 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:38.0 HINT HINT ES_02 ES_02-7 EG41 x/-7-7+7 = -9+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:39.0 HINT HINT ES_02 ES_02-7 EG41 x/-7-7+7 = -9+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7-7+7 = -9+7 strategic 3 OK clt x/-7-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:47.0 HINT HINT ES_02 ES_02-7 EG41 x/-7 = -9+7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:48.0 HINT HINT ES_02 ES_02-7 EG41 x/-7 = -9+7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7 = -9+7 strategic 3 OK clt -9+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:53.0 HINT HINT ES_02 ES_02-7 EG41 x/-7 = -2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:53.0 HINT HINT ES_02 ES_02-7 EG41 x/-7 = -2 strategic 2 NEXT_HINT In x/-7, x is divided by -7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:50:57.0 HINT HINT ES_02 ES_02-7 EG41 x/-7 = -2 strategic 3 NEXT_HINT Multiply both sides by -7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7 = -2 strategic 4 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:02.0 HINT HINT ES_02 ES_02-7 EG41 x/-7*-7 = -2*-7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:03.0 HINT HINT ES_02 ES_02-7 EG41 x/-7*-7 = -2*-7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-7*-7 = -2*-7 strategic 3 OK mt x/-7*-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:13.0 HINT HINT ES_02 ES_02-7 EG41 x = -2*-7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:14.0 HINT HINT ES_02 ES_02-7 EG41 x = -2*-7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -2*-7 strategic 3 OK mt -2*-7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:18.0 HINT HINT ES_02 ES_02-7 EG41 x = 14 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:23.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/3+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:24.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/3+2 strategic 2 NEXT_HINT 2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:28.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/3+2 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/3+2 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:36.0 HINT HINT ES_02 ES_02-7 EG41 -8-2 = x/3+2-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:37.0 HINT HINT ES_02 ES_02-7 EG41 -8-2 = x/3+2-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-2 = x/3+2-2 strategic 3 OK clt x/3+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:46.0 HINT HINT ES_02 ES_02-7 EG41 -8-2 = x/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:47.0 HINT HINT ES_02 ES_02-7 EG41 -8-2 = x/3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8-2 = x/3 strategic 3 OK clt -8-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:58.0 HINT HINT ES_02 ES_02-7 EG41 -10 = x/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:51:59.0 HINT HINT ES_02 ES_02-7 EG41 -10 = x/3 strategic 2 NEXT_HINT In x/3, x is divided by 3. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:02.0 HINT HINT ES_02 ES_02-7 EG41 -10 = x/3 strategic 3 NEXT_HINT Multiply both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/3 strategic 4 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:12.0 HINT HINT ES_02 ES_02-7 EG41 -10*3 = x/3*3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:12.0 HINT HINT ES_02 ES_02-7 EG41 -10*3 = x/3*3 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10*3 = x/3*3 strategic 3 OK mt x/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:18.0 HINT HINT ES_02 ES_02-7 EG41 -10*3 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:19.0 HINT HINT ES_02 ES_02-7 EG41 -10*3 = x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10*3 = x strategic 3 OK mt -10*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:22.0 HINT HINT ES_02 ES_02-7 EG41 -30 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:24.0 HINT HINT ES_02 ES_02-7 EG41 -30 = x strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:31.0 HINT HINT ES_02 ES_02-7 EG41 -7 = -8+y/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:32.0 HINT HINT ES_02 ES_02-7 EG41 -7 = -8+y/9 strategic 2 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:37.0 HINT HINT ES_02 ES_02-7 EG41 -7 = -8+y/9 strategic 3 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = -8+y/9 strategic 4 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:43.0 HINT HINT ES_02 ES_02-7 EG41 -7+8 = -8+y/9+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:44.0 HINT HINT ES_02 ES_02-7 EG41 -7+8 = -8+y/9+8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+8 = -8+y/9+8 strategic 3 OK clt -8+y/9+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:48.0 HINT HINT ES_02 ES_02-7 EG41 -7+8 = y/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:49.0 HINT HINT ES_02 ES_02-7 EG41 -7+8 = y/9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+8 = y/9 strategic 3 OK clt -7+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:52.0 HINT HINT ES_02 ES_02-7 EG41 1 = y/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:52.0 HINT HINT ES_02 ES_02-7 EG41 1 = y/9 strategic 2 NEXT_HINT In y/9, y is divided by 9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:52:56.0 HINT HINT ES_02 ES_02-7 EG41 1 = y/9 strategic 3 NEXT_HINT Multiply both sides by 9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/9 strategic 4 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:01.0 HINT HINT ES_02 ES_02-7 EG41 1*9 = y/9*9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:02.0 HINT HINT ES_02 ES_02-7 EG41 1*9 = y/9*9 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*9 = y/9*9 strategic 3 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:08.0 HINT HINT ES_02 ES_02-7 EG41 1*9 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:08.0 HINT HINT ES_02 ES_02-7 EG41 1*9 = y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*9 = y strategic 3 OK mt 1*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:13.0 HINT HINT ES_02 ES_02-7 EG41 9 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:13.0 HINT HINT ES_02 ES_02-7 EG41 9 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:18.0 HINT HINT ES_02 ES_02-7 EG41 2 = y/-5-4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:19.0 HINT HINT ES_02 ES_02-7 EG41 2 = y/-5-4 strategic 2 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:22.0 HINT HINT ES_02 ES_02-7 EG41 2 = y/-5-4 strategic 3 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = y/-5-4 strategic 4 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:28.0 HINT HINT ES_02 ES_02-7 EG41 2+4 = y/-5-4+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:28.0 HINT HINT ES_02 ES_02-7 EG41 2+4 = y/-5-4+4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+4 = y/-5-4+4 strategic 3 OK clt y/-5-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:33.0 HINT HINT ES_02 ES_02-7 EG41 2+4 = y/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:34.0 HINT HINT ES_02 ES_02-7 EG41 2+4 = y/-5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+4 = y/-5 strategic 3 OK clt 2+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:36.0 HINT HINT ES_02 ES_02-7 EG41 6 = y/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:37.0 HINT HINT ES_02 ES_02-7 EG41 6 = y/-5 strategic 2 NEXT_HINT In y/-5, y is divided by -5. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:40.0 HINT HINT ES_02 ES_02-7 EG41 6 = y/-5 strategic 3 NEXT_HINT Multiply both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/-5 strategic 4 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:47.0 HINT HINT ES_02 ES_02-7 EG41 6*-5 = y/-5*-5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:48.0 HINT HINT ES_02 ES_02-7 EG41 6*-5 = y/-5*-5 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*-5 = y/-5*-5 strategic 3 OK mt y/-5*-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:53.0 HINT HINT ES_02 ES_02-7 EG41 6*-5 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:54.0 HINT HINT ES_02 ES_02-7 EG41 6*-5 = y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:53:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*-5 = y strategic 3 ERROR clt 6*-5 = y strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*-5 = y strategic 4 OK mt 6*-5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:05.0 HINT HINT ES_02 ES_02-7 EG41 -30 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:10.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:11.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-3 strategic 2 NEXT_HINT -3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:15.0 HINT HINT ES_02 ES_02-7 EG41 8 = y/6-3 strategic 3 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/6-3 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:21.0 HINT HINT ES_02 ES_02-7 EG41 8+3 = y/6-3+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:22.0 HINT HINT ES_02 ES_02-7 EG41 8+3 = y/6-3+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8+3 = y/6-3+3 strategic 3 OK clt y/6-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:27.0 HINT HINT ES_02 ES_02-7 EG41 8+3 = y/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:28.0 HINT HINT ES_02 ES_02-7 EG41 8+3 = y/6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8+3 = y/6 strategic 3 OK clt 8+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:31.0 HINT HINT ES_02 ES_02-7 EG41 11 = y/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:32.0 HINT HINT ES_02 ES_02-7 EG41 11 = y/6 strategic 2 NEXT_HINT In y/6, y is divided by 6. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:36.0 HINT HINT ES_02 ES_02-7 EG41 11 = y/6 strategic 3 NEXT_HINT Multiply both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 11 = y/6 strategic 4 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:41.0 HINT HINT ES_02 ES_02-7 EG41 11*6 = y/6*6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:42.0 HINT HINT ES_02 ES_02-7 EG41 11*6 = y/6*6 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 11*6 = y/6*6 strategic 3 OK mt 11*6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:50.0 HINT HINT ES_02 ES_02-7 EG41 66 = y/6*6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:51.0 HINT HINT ES_02 ES_02-7 EG41 66 = y/6*6 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 66 = y/6*6 strategic 3 OK mt y/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:55.0 HINT HINT ES_02 ES_02-7 EG41 66 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:54:55.0 HINT HINT ES_02 ES_02-7 EG41 66 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:00.0 HINT HINT ES_02 ES_02-7 EG41 y/5-2 = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:01.0 HINT HINT ES_02 ES_02-7 EG41 y/5-2 = 3 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:05.0 HINT HINT ES_02 ES_02-7 EG41 y/5-2 = 3 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5-2 = 3 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:10.0 HINT HINT ES_02 ES_02-7 EG41 y/5-2+2 = 3+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:11.0 HINT HINT ES_02 ES_02-7 EG41 y/5-2+2 = 3+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5-2+2 = 3+2 strategic 3 OK clt y/5-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:16.0 HINT HINT ES_02 ES_02-7 EG41 y/5 = 3+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:17.0 HINT HINT ES_02 ES_02-7 EG41 y/5 = 3+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = 3+2 strategic 3 OK clt 3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:20.0 HINT HINT ES_02 ES_02-7 EG41 y/5 = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session26 2006-01-04 08:55:24.0 HINT HINT ES_02 ES_02-7 EG41 y/5 = 5 strategic 2 NEXT_HINT In y/5, y is divided by 5. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:18.0 HINT HINT ES_02 ES_02-7 EG41 0 = -4+y/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:19.0 HINT HINT ES_02 ES_02-7 EG41 0 = -4+y/4 strategic 2 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:23.0 HINT HINT ES_02 ES_02-7 EG41 0 = -4+y/4 strategic 3 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = -4+y/4 strategic 4 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:29.0 HINT HINT ES_02 ES_02-7 EG41 0+4 = -4+y/4+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:31.0 HINT HINT ES_02 ES_02-7 EG41 0+4 = -4+y/4+4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0+4 = -4+y/4+4 strategic 3 OK clt -4+y/4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:36.0 HINT HINT ES_02 ES_02-7 EG41 0+4 = y/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:37.0 HINT HINT ES_02 ES_02-7 EG41 0+4 = y/4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0+4 = y/4 strategic 3 OK clt 0+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:50.0 HINT HINT ES_02 ES_02-7 EG41 4 = y/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:51.0 HINT HINT ES_02 ES_02-7 EG41 4 = y/4 strategic 2 NEXT_HINT In y/4, y is divided by 4. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:24:56.0 HINT HINT ES_02 ES_02-7 EG41 4 = y/4 strategic 3 NEXT_HINT Multiply both sides by 4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/4 strategic 4 ERROR mt 4 = y/4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = y/4 strategic 5 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:10.0 HINT HINT ES_02 ES_02-7 EG41 4*4 = y/4*4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:11.0 HINT HINT ES_02 ES_02-7 EG41 4*4 = y/4*4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4*4 = y/4*4 strategic 3 OK mt 4*4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:17.0 HINT HINT ES_02 ES_02-7 EG41 16 = y/4*4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:18.0 HINT HINT ES_02 ES_02-7 EG41 16 = y/4*4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 16 = y/4*4 strategic 3 OK mt y/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:22.0 HINT HINT ES_02 ES_02-7 EG41 16 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:28.0 HINT HINT ES_02 ES_02-7 EG41 -6 = -1+(y/-2) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:29.0 HINT HINT ES_02 ES_02-7 EG41 -6 = -1+(y/-2) strategic 2 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:32.0 HINT HINT ES_02 ES_02-7 EG41 -6 = -1+(y/-2) strategic 3 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = -1+(y/-2) strategic 4 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:46.0 HINT HINT ES_02 ES_02-7 EG41 -6+1 = -1+(y/-2)+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:47.0 HINT HINT ES_02 ES_02-7 EG41 -6+1 = -1+(y/-2)+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+1 = -1+(y/-2)+1 strategic 3 OK clt -1+(y/-2)+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:53.0 HINT HINT ES_02 ES_02-7 EG41 -6+1 = y/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:55.0 HINT HINT ES_02 ES_02-7 EG41 -6+1 = y/-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+1 = y/-2 strategic 3 OK clt -6+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:25:59.0 HINT HINT ES_02 ES_02-7 EG41 -5 = y/-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:00.0 HINT HINT ES_02 ES_02-7 EG41 -5 = y/-2 strategic 2 NEXT_HINT In y/-2, y is divided by -2. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:03.0 HINT HINT ES_02 ES_02-7 EG41 -5 = y/-2 strategic 3 NEXT_HINT Multiply both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = y/-2 strategic 4 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:09.0 HINT HINT ES_02 ES_02-7 EG41 -5*-2 = y/-2*-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:10.0 HINT HINT ES_02 ES_02-7 EG41 -5*-2 = y/-2*-2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-2 = y/-2*-2 strategic 3 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:20.0 HINT HINT ES_02 ES_02-7 EG41 -5*-2 = y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:21.0 HINT HINT ES_02 ES_02-7 EG41 -5*-2 = y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-2 = y strategic 3 OK mt -5*-2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:24.0 HINT HINT ES_02 ES_02-7 EG41 10 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:30.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8) = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:31.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8) = 2 strategic 2 NEXT_HINT 7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:34.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8) = 2 strategic 3 NEXT_HINT You can subtract 7 from both sides of the equation to eliminate the constant value of 7 (7 - 7 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+(x/-8) = 2 strategic 4 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:41.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8)-7 = 2-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:26:42.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8)-7 = 2-7 strategic 2 NEXT_HINT Type in 7+(x/-8)-7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+(x/-8)-7 = 2-7 strategic 3 OK typein 7+(x/-8)-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:07.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8)-7 = 2-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:08.0 HINT HINT ES_02 ES_02-8 EG41 7+(x/-8)-7 = 2-7 strategic 5 NEXT_HINT Type in 2-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+(x/-8)-7 = 2-7 strategic 6 OK typein 2-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:14.0 HINT HINT ES_02 ES_02-8 EG41 7-x/8-7 = 2-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:18.0 HINT HINT ES_02 ES_02-8 EG41 7-x/8-7 = 2-7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-x/8-7 = 2-7 strategic 3 OK clt 7-x/8-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG 7 7
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 7, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:27.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -x/8 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK -x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:38.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 2 INITIAL_HINT In the group above, you have [-x/8]. Type [-x/8] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 3 OK -x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:50.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:27:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:00.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 2 INITIAL_HINT From the original equation at the top, select -7 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 3 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:08.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT Above, you have [-x/8]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -x/8+0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:19.0 HINT HINT ES_02 ES_02-8 EG41 -x/8+0 = 2-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:20.0 HINT HINT ES_02 ES_02-8 EG41 -x/8+0 = 2-7 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/8+0 = 2-7 strategic 3 OK clt 2-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:30.0 HINT HINT ES_02 ES_02-8 EG41 -x/8+0 = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:31.0 HINT HINT ES_02 ES_02-8 EG41 -x/8+0 = -5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/8+0 = -5 strategic 3 OK clt -x/8+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 5 OK -x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -x/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:44.0 HINT HINT ES_02 ES_02-8 EG41 -x/8 = -5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:45.0 HINT HINT ES_02 ES_02-8 EG41 -x/8 = -5 strategic 2 NEXT_HINT In -x/8, x is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:28:49.0 HINT HINT ES_02 ES_02-8 EG41 -x/8 = -5 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -8/1, which is the same as mulitplying by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/8 = -5 strategic 4 OK multiply -8/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:06.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:07.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 2 NEXT_HINT Type in (-x/8)*(-8/1) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 3 ERROR typein -x/8 (-8/8) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:24.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 5 ERROR typein -8/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:41.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 6 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:29:42.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 7 NEXT_HINT Type in (-x/8)*(-8/1) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 8 OK typein -x/8 (-8/1) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:01.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 9 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:02.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 10 NEXT_HINT Type in -5*-8/1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 11 OK typein -5 (-8)/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:16.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 12 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:18.0 HINT HINT ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 13 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-x/8)*(-8/1) = -5*-8/1 strategic 14 OK mt (-x/8)*(-8/1) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:25.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:33.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:38.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 8x/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:46.0 HINT HINT ES_02 ES_02-8 EG41 8x/8 = -5*-8/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:46.0 HINT HINT ES_02 ES_02-8 EG41 8x/8 = -5*-8/1 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8x/8 = -5*-8/1 strategic 3 OK mt -5*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:50.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT In the group above, you have [-5]*[-8]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 40 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:58.0 HINT HINT ES_02 ES_02-8 EG41 8x/8 = 40/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:30:58.0 HINT HINT ES_02 ES_02-8 EG41 8x/8 = 40/1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8x/8 = 40/1 strategic 3 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:06.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:25.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:32.0 HINT HINT ES_02 ES_02-8 EG41 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:42.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [8]/[8] is 8. This set of entry boxes represent the simplified form of [8]/[8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:31:51.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:04.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [8]/[8] is 8. This set of entry boxes represent the simplified form of [8]/[8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:10.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 ERROR x/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 3 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:17.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-X strategic 4 INITIAL_HINT x The common factor between the numerator and denominator of [X]/[1] is 1. This set of entry boxes represent the simplified form of [X]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR 8x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:29.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 14 INITIAL_HINT 8x Above is the simplified form of the expression 8x/8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:33.0 HINT HINT ES_02 ES_02-8 EG41 x = 40/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x = 40/1 strategic 2 BUG clt x = 40/1 strategic You already solved the equation. x is 40/1. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:42.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8) = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:43.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8) = -5 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:46.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8) = -5 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-8) = -5 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:50.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)+2 = -5+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:32:51.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)+2 = -5+2 strategic 2 NEXT_HINT Type in -2+(y/-8)+2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-8)+2 = -5+2 strategic 3 OK typein -2+(y/-8)+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:07.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)+2 = -5+2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:07.0 HINT HINT ES_02 ES_02-8 EG41 -2+(y/-8)+2 = -5+2 strategic 5 NEXT_HINT Type in -5+2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-8)+2 = -5+2 strategic 6 OK typein -5+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:15.0 HINT HINT ES_02 ES_02-8 EG41 -2-y/8+2 = -5+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:15.0 HINT HINT ES_02 ES_02-8 EG41 -2-y/8+2 = -5+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2-y/8+2 = -5+2 strategic 3 OK clt -2-y/8+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG -2 -2
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -2, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:25.0 HINT HINT ES_02 ES_02-8 EG41 YR2 strategic 1 INITIAL_HINT From the original equation at the top, select -y/8 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 4 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 5 OK -y/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:35.0 HINT HINT ES_02 ES_02-8 EG41 YR2 strategic 2 INITIAL_HINT In the group above, you have [-y/8]. Type [-y/8] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 3 OK -y/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:44.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select -2 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:53.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT Above, you have [-y/8]+[0]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:33:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -y/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:02.0 HINT HINT ES_02 ES_02-8 EG41 -y/8 = -5+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:02.0 HINT HINT ES_02 ES_02-8 EG41 -y/8 = -5+2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8 = -5+2 strategic 3 OK clt -5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:06.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-5]+[2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:14.0 HINT HINT ES_02 ES_02-8 EG41 -y/8 = -3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:15.0 HINT HINT ES_02 ES_02-8 EG41 -y/8 = -3 strategic 2 NEXT_HINT In -y/8, y is multiplied by -1/8. How do you change the -1/8 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:18.0 HINT HINT ES_02 ES_02-8 EG41 -y/8 = -3 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -8/1, which is the same as mulitplying by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8 = -3 strategic 4 OK multiply -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:32.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:32.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 2 NEXT_HINT Type in -y/8*-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 3 ERROR typein -7/8 (-8) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:52.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:52.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 5 NEXT_HINT Type in -y/8*-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:34:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 6 OK typein -y/8 (-8) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:00.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:01.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 8 NEXT_HINT Type in -3*-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 9 OK typein -3 (-8) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:11.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:12.0 HINT HINT ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 11 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/8*-8 = -3*-8 strategic 12 OK mt -y/8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:18.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 8y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:28.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:34.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 8y/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:41.0 HINT HINT ES_02 ES_02-8 EG41 8y/8 = -3*-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:41.0 HINT HINT ES_02 ES_02-8 EG41 8y/8 = -3*-8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8y/8 = -3*-8 strategic 3 OK mt -3*-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:45.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 7 INITIAL_HINT In the group above, you have [-3]*[-8]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 24 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:53.0 HINT HINT ES_02 ES_02-8 EG41 8y/8 = 24 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:35:54.0 HINT HINT ES_02 ES_02-8 EG41 8y/8 = 24 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8y/8 = 24 strategic 3 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:02.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:12.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:21.0 HINT HINT ES_02 ES_02-8 EG41 row2y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:35.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [8]/[8] is 8. This set of entry boxes represent the simplified form of [8]/[8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:44.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 OK y/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:48.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [8]/[8] is 8. This set of entry boxes represent the simplified form of [8]/[8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:54.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:36:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 ERROR y/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:06.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression 8y/8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 8y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:17.0 HINT HINT ES_02 ES_02-8 EG41 y = 24 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:24.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2 = 4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:25.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2 = 4 strategic 2 NEXT_HINT -2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:29.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2 = 4 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-6-2 = 4 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:37.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:38.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 2 NEXT_HINT Type in x/-6-2+2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 3 OK typein x/-6- 2+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:54.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:55.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 5 NEXT_HINT Type in 4+2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 6 OK typein 4+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:58.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:37:59.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-6-2+2 = 4+2 strategic 9 OK clt 4+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:05.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:06.0 HINT HINT ES_02 ES_02-8 EG41 x/-6-2+2 = 6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/-6-2+2 = 6 strategic 3 OK clt x/-6-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:21.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 1 INITIAL_HINT In the group above, you have [-x/6]. Type [-x/6] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 2 OK -X/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:25.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 1 INITIAL_HINT In the group above, you have [-2]+[+2]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 OK -2+2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:30.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT Above, you have [-X/6]+[-2+2]. Enter that expression, simplify if necessary. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -X/6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:47.0 HINT HINT ES_02 ES_02-8 EG41 -X/6 = 6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:48.0 HINT HINT ES_02 ES_02-8 EG41 -X/6 = 6 strategic 2 NEXT_HINT In -X/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:38:51.0 HINT HINT ES_02 ES_02-8 EG41 -X/6 = 6 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -6/1, which is the same as mulitplying by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -X/6 = 6 strategic 4 OK multiply -6/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:02.0 HINT HINT ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:03.0 HINT HINT ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 2 NEXT_HINT Type in (-X/6)*(-6/1) on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 3 OK typein -x/6 (-6/1) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:22.0 HINT HINT ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:23.0 HINT HINT ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 5 NEXT_HINT Type in 6*-6/1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 6 OK typein 6 (-6)/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:33.0 HINT HINT ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:34.0 HINT HINT ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (-X/6)*(-6/1) = 6*-6/1 strategic 9 OK mt (-X/6)*(-6/1) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:40.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:48.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:52.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 6x/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:58.0 HINT HINT ES_02 ES_02-8 EG41 6x/6 = 6*-6/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:39:59.0 HINT HINT ES_02 ES_02-8 EG41 6x/6 = 6*-6/1 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6x/6 = 6*-6/1 strategic 3 OK mt 6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:07.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT In the group above, you have [6]*[-6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:16.0 HINT HINT ES_02 ES_02-8 EG41 6x/6 = -36/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:16.0 HINT HINT ES_02 ES_02-8 EG41 6x/6 = -36/1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6x/6 = -36/1 strategic 3 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:22.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:28.0 HINT HINT ES_02 ES_02-8 EG41 x = -36/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:36.0 HINT HINT ES_02 ES_02-8 EG41 4 = -1+x/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:36.0 HINT HINT ES_02 ES_02-8 EG41 4 = -1+x/8 strategic 2 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:39.0 HINT HINT ES_02 ES_02-8 EG41 4 = -1+x/8 strategic 3 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = -1+x/8 strategic 4 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:45.0 HINT HINT ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:46.0 HINT HINT ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 2 NEXT_HINT Type in 4+1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 3 OK typein 4+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:49.0 HINT HINT ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:40:50.0 HINT HINT ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 5 NEXT_HINT Type in -1+x/8+1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 6 OK typein -1+x/8+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:03.0 HINT HINT ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:03.0 HINT HINT ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+1 = -1+x/8+1 strategic 9 OK clt 4+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:11.0 HINT HINT ES_02 ES_02-8 EG41 5 = -1+x/8+1 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:11.0 HINT HINT ES_02 ES_02-8 EG41 5 = -1+x/8+1 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = -1+x/8+1 strategic 3 ERROR mt 5 = -1+x/8+1 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = -1+x/8+1 strategic 4 OK clt -1+x/8+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:27.0 HINT HINT ES_02 ES_02-8 EG41 5 = x/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:28.0 HINT HINT ES_02 ES_02-8 EG41 5 = x/8 strategic 2 NEXT_HINT In x/8, x is divided by 8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:32.0 HINT HINT ES_02 ES_02-8 EG41 5 = x/8 strategic 3 NEXT_HINT Multiply both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = x/8 strategic 4 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:38.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:39.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 2 NEXT_HINT Type in 5*8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 3 OK typein 5 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:43.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:44.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 5 NEXT_HINT Type in x/8*8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 6 OK typein x/8 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:50.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:51.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*8 = x/8*8 strategic 9 OK mt x/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:41:57.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:02.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:15.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK x 8/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:26.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x*8/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:27.0 HINT HINT ES_02 ES_02-8 EG41 5*8 = x*8/8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*8 = x*8/8 strategic 3 OK mt 5*8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 40 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:34.0 HINT HINT ES_02 ES_02-8 EG41 40 = x*8/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:34.0 HINT HINT ES_02 ES_02-8 EG41 40 = x*8/8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40 = x*8/8 strategic 3 OK rf x*8/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:38.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:50.0 HINT HINT ES_02 ES_02-8 EG41 40 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:55.0 HINT HINT ES_02 ES_02-8 EG41 -8 = 9+x/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:56.0 HINT HINT ES_02 ES_02-8 EG41 -8 = 9+x/9 strategic 2 NEXT_HINT 9 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:42:59.0 HINT HINT ES_02 ES_02-8 EG41 -8 = 9+x/9 strategic 3 NEXT_HINT You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = 9+x/9 strategic 4 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:04.0 HINT HINT ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:04.0 HINT HINT ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 2 NEXT_HINT Type in -8-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 3 OK typein -8-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:10.0 HINT HINT ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:11.0 HINT HINT ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 5 NEXT_HINT Type in 9+x/9-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 6 OK typein 9+x/9-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:20.0 HINT HINT ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:21.0 HINT HINT ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-9 = 9+x/9-9 strategic 9 OK clt -8-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR 81 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 72 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:36.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT 72 In the group above, you have [-8]+[-9]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR -72 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -17 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:55.0 HINT HINT ES_02 ES_02-8 EG41 -17 = 9+x/9-9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:55.0 HINT HINT ES_02 ES_02-8 EG41 -17 = 9+x/9-9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:43:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -17 = 9+x/9-9 strategic 3 OK clt 9+x/9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK x/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:06.0 HINT HINT ES_02 ES_02-8 EG41 -17 = x/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:06.0 HINT HINT ES_02 ES_02-8 EG41 -17 = x/9 strategic 2 NEXT_HINT In x/9, x is divided by 9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:10.0 HINT HINT ES_02 ES_02-8 EG41 -17 = x/9 strategic 3 NEXT_HINT Multiply both sides by 9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -17 = x/9 strategic 4 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:17.0 HINT HINT ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:17.0 HINT HINT ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 2 NEXT_HINT Type in -17*9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 3 OK typein -17 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:27.0 HINT HINT ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:27.0 HINT HINT ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 5 NEXT_HINT Type in x/9*9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 6 OK typein x/9 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:34.0 HINT HINT ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:35.0 HINT HINT ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -17*9 = x/9*9 strategic 9 OK mt -17*9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:40.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 9 INITIAL_HINT In the group above, you have [-17]*[9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK -153 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:50.0 HINT HINT ES_02 ES_02-8 EG41 -153 = x/9*9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:51.0 HINT HINT ES_02 ES_02-8 EG41 -153 = x/9*9 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -153 = x/9*9 strategic 3 OK mt x/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:54.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:44:58.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:02.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 11 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK x 9/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:09.0 HINT HINT ES_02 ES_02-8 EG41 -153 = x*9/9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:10.0 HINT HINT ES_02 ES_02-8 EG41 -153 = x*9/9 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -153 = x*9/9 strategic 3 OK rf x*9/9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:14.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:21.0 HINT HINT ES_02 ES_02-8 EG41 -153 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:22.0 HINT HINT ES_02 ES_02-8 EG41 -153 = x strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:27.0 HINT HINT ES_02 ES_02-8 EG41 -8 = -4+x/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:28.0 HINT HINT ES_02 ES_02-8 EG41 -8 = -4+x/8 strategic 2 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:31.0 HINT HINT ES_02 ES_02-8 EG41 -8 = -4+x/8 strategic 3 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -4+x/8 strategic 4 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:35.0 HINT HINT ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:36.0 HINT HINT ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 2 NEXT_HINT Type in -8+4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 3 OK typein -8+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:40.0 HINT HINT ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:41.0 HINT HINT ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 5 NEXT_HINT Type in -4+x/8+4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 6 OK typein -4+x/8+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:49.0 HINT HINT ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:49.0 HINT HINT ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+4 = -4+x/8+4 strategic 9 OK clt -8+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:45:55.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-8]+[4]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:02.0 HINT HINT ES_02 ES_02-8 EG41 -4 = -4+x/8+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:03.0 HINT HINT ES_02 ES_02-8 EG41 -4 = -4+x/8+4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -4+x/8+4 strategic 3 OK clt -4+x/8+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK x/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:10.0 HINT HINT ES_02 ES_02-8 EG41 -4 = x/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:11.0 HINT HINT ES_02 ES_02-8 EG41 -4 = x/8 strategic 2 NEXT_HINT In x/8, x is divided by 8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:15.0 HINT HINT ES_02 ES_02-8 EG41 -4 = x/8 strategic 3 NEXT_HINT Multiply both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/8 strategic 4 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:20.0 HINT HINT ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:21.0 HINT HINT ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 2 NEXT_HINT Type in -4*8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 3 OK typein -4 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:27.0 HINT HINT ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:27.0 HINT HINT ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 5 NEXT_HINT Type in x/8*8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 6 OK typein x/8 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:32.0 HINT HINT ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:32.0 HINT HINT ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*8 = x/8*8 strategic 9 OK mt -4*8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:39.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-4]*[8]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -32 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:47.0 HINT HINT ES_02 ES_02-8 EG41 -32 = x/8*8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:47.0 HINT HINT ES_02 ES_02-8 EG41 -32 = x/8*8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = x/8*8 strategic 3 OK mt x/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:51.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 8x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:55.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:46:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 8x 1/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:18.0 HINT HINT ES_02 ES_02-8 EG41 -32 = 8x*1/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:19.0 HINT HINT ES_02 ES_02-8 EG41 -32 = 8x*1/8 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = 8x*1/8 strategic 3 OK mt 8x*1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 8 x default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:34.0 HINT HINT ES_02 ES_02-8 EG41 -32 = 8x/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:34.0 HINT HINT ES_02 ES_02-8 EG41 -32 = 8x/8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -32 = 8x/8 strategic 3 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:40.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:52.0 HINT HINT ES_02 ES_02-8 EG41 -7 = y/-6+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:53.0 HINT HINT ES_02 ES_02-8 EG41 -7 = y/-6+3 strategic 2 NEXT_HINT 3 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:47:57.0 HINT HINT ES_02 ES_02-8 EG41 -7 = y/-6+3 strategic 3 NEXT_HINT You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = y/-6+3 strategic 4 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:03.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:04.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 2 NEXT_HINT Type in -7-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 3 OK typein -7-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:08.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:09.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 5 NEXT_HINT Type in y/-6+3-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 6 OK typein y/-6+3-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:19.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:19.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-3 = y/-6+3-3 strategic 9 OK clt y/-6+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -y/6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:30.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = -y/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:31.0 HINT HINT ES_02 ES_02-8 EG41 -7-3 = -y/6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-3 = -y/6 strategic 3 OK clt -7-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:34.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-7]+[-3]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -10 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:43.0 HINT HINT ES_02 ES_02-8 EG41 -10 = -y/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:44.0 HINT HINT ES_02 ES_02-8 EG41 -10 = -y/6 strategic 2 NEXT_HINT In -y/6, y is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:48:47.0 HINT HINT ES_02 ES_02-8 EG41 -10 = -y/6 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -6/1, which is the same as mulitplying by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = -y/6 strategic 4 OK multiply -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:02.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:03.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 2 NEXT_HINT Type in -10*-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 3 OK typein -10 (-6) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:11.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:12.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 5 NEXT_HINT Type in -y/6*-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 6 OK typein -y/6 (-6) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:20.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:21.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-6 = -y/6*-6 strategic 9 OK mt -y/6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:27.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 6y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:36.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 6y-6/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR 6y-6/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR 6y-6/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR 6y-6/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:52.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 8 INITIAL_HINT 6y-6/6 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK 6y/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:58.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = 6y/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:49:59.0 HINT HINT ES_02 ES_02-8 EG41 -10*-6 = 6y/6 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-6 = 6y/6 strategic 3 OK mt -10*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:03.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 10 INITIAL_HINT In the group above, you have [-10]*[-6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK 60 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:11.0 HINT HINT ES_02 ES_02-8 EG41 60 = 6y/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:11.0 HINT HINT ES_02 ES_02-8 EG41 60 = 6y/6 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 60 = 6y/6 strategic 3 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:16.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:29.0 HINT HINT ES_02 ES_02-8 EG41 60 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:36.0 HINT HINT ES_02 ES_02-8 EG41 5 = y/4+10 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:37.0 HINT HINT ES_02 ES_02-8 EG41 5 = y/4+10 strategic 2 NEXT_HINT 10 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:41.0 HINT HINT ES_02 ES_02-8 EG41 5 = y/4+10 strategic 3 NEXT_HINT You can subtract 10 from both sides of the equation to eliminate the constant value of 10 (10 - 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = y/4+10 strategic 4 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:55.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:56.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 2 NEXT_HINT Type in 5-10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 3 OK typein 5-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:50:59.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:00.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 5 NEXT_HINT Type in y/4+10-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:21.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:21.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 7 NEXT_HINT Type in y/4+10-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:23.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:26.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 9 NEXT_HINT Type in y/4+10-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:27.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 10 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:28.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 11 NEXT_HINT Type in y/4+10-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 12 OK typein y/4+10-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:44.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 13 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:45.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 14 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-10 = y/4+10-10 strategic 15 OK clt y/4+10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:59.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:51:59.0 HINT HINT ES_02 ES_02-8 EG41 5-10 = y/4 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-10 = y/4 strategic 3 OK clt 5-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:03.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [5]+[-10]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:13.0 HINT HINT ES_02 ES_02-8 EG41 -5 = y/4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:14.0 HINT HINT ES_02 ES_02-8 EG41 -5 = y/4 strategic 2 NEXT_HINT In y/4, y is divided by 4. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:18.0 HINT HINT ES_02 ES_02-8 EG41 -5 = y/4 strategic 3 NEXT_HINT Multiply both sides by 4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5 = y/4 strategic 4 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:24.0 HINT HINT ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:24.0 HINT HINT ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 2 NEXT_HINT Type in -5*4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 3 OK typein -5 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:29.0 HINT HINT ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:30.0 HINT HINT ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 5 NEXT_HINT Type in y/4*4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 6 OK typein y/4 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:36.0 HINT HINT ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:37.0 HINT HINT ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -5*4 = y/4*4 strategic 9 OK mt -5*4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:43.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-5]*[4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK -20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:56.0 HINT HINT ES_02 ES_02-8 EG41 -20 = y/4*4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:52:56.0 HINT HINT ES_02 ES_02-8 EG41 -20 = y/4*4 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = y/4*4 strategic 3 OK mt y/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:01.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 4y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:06.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR 4y/5 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 4y/4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:20.0 HINT HINT ES_02 ES_02-8 EG41 -20 = 4y/4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:21.0 HINT HINT ES_02 ES_02-8 EG41 -20 = 4y/4 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -20 = 4y/4 strategic 3 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:26.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 4 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:33.0 HINT HINT ES_02 ES_02-8 EG41 -20 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:40.0 HINT HINT ES_02 ES_02-8 EG41 10 = -8+y/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:41.0 HINT HINT ES_02 ES_02-8 EG41 10 = -8+y/8 strategic 2 NEXT_HINT -8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:44.0 HINT HINT ES_02 ES_02-8 EG41 10 = -8+y/8 strategic 3 NEXT_HINT You can add 8 to both sides of the equation to eliminate the constant value of -8 (-8 + 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = -8+y/8 strategic 4 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:50.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:52.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 2 NEXT_HINT Type in 10+8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 3 OK typein 10+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:57.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:53:57.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 5 NEXT_HINT Type in -8+y/8+8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 6 OK typein -8+y/8+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:09.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:10.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+8 = -8+y/8+8 strategic 9 OK clt -8+y/8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:22.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = y/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:23.0 HINT HINT ES_02 ES_02-8 EG41 10+8 = y/8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+8 = y/8 strategic 3 OK clt 10+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 18 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:31.0 HINT HINT ES_02 ES_02-8 EG41 18 = y/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:32.0 HINT HINT ES_02 ES_02-8 EG41 18 = y/8 strategic 2 NEXT_HINT In y/8, y is divided by 8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:36.0 HINT HINT ES_02 ES_02-8 EG41 18 = y/8 strategic 3 NEXT_HINT Multiply both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = y/8 strategic 4 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:41.0 HINT HINT ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:42.0 HINT HINT ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 2 NEXT_HINT Type in 18*8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 3 OK typein 18 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:47.0 HINT HINT ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:47.0 HINT HINT ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 5 NEXT_HINT Type in y/8*8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 6 OK typein y/8 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:57.0 HINT HINT ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:54:57.0 HINT HINT ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*8 = y/8*8 strategic 9 OK mt y/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:03.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 8y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:08.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:14.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session27 2006-01-06 08:55:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK y 8/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:17:28.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6) = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:17:29.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6) = -9 strategic 2 NEXT_HINT 3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:17:32.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6) = -9 strategic 3 NEXT_HINT You can subtract 3 from both sides of the equation to eliminate the constant value of 3 (3 - 3 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:17:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+(x/-6) = -9 strategic 4 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:17:41.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6)-3 = -9-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:17:43.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6)-3 = -9-3 strategic 2 NEXT_HINT Type in 3+(x/-6)-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+(x/-6)-3 = -9-3 strategic 3 OK typein 3+(x/-6)-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:02.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6)-3 = -9-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:03.0 HINT HINT ES_02 ES_02-8 EG41 3+(x/-6)-3 = -9-3 strategic 5 NEXT_HINT Type in -9-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+(x/-6)-3 = -9-3 strategic 6 OK typein -9-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:12.0 HINT HINT ES_02 ES_02-8 EG41 3-x/6-3 = -9-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:13.0 HINT HINT ES_02 ES_02-8 EG41 3-x/6-3 = -9-3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-x/6-3 = -9-3 strategic 3 OK clt 3-x/6-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG 3 3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 3, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:34.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -x/6 and drag it to the correct box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 4 OK -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:45.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 2 INITIAL_HINT In the group above, you have [-x/6]. Type [-x/6] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 3 ERROR x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:18:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 4 ERROR /x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 5 OK -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:02.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 1 INITIAL_HINT From the original equation at the top, select 3 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -x/6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:25.0 HINT HINT ES_02 ES_02-8 EG41 -x/6 = -9-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:26.0 HINT HINT ES_02 ES_02-8 EG41 -x/6 = -9-3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/6 = -9-3 strategic 3 OK clt -9-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:29.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-9]+[-3]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:38.0 HINT HINT ES_02 ES_02-8 EG41 -x/6 = -12 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:39.0 HINT HINT ES_02 ES_02-8 EG41 -x/6 = -12 strategic 2 NEXT_HINT In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:42.0 HINT HINT ES_02 ES_02-8 EG41 -x/6 = -12 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -6/1, which is the same as mulitplying by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/6 = -12 strategic 4 OK multiply -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:57.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:19:58.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 2 NEXT_HINT Type in -x/6*-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 3 OK typein -x/6 (-6) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:15.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:16.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 5 NEXT_HINT Type in -12*-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 6 OK typein -12 (-6) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:26.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:28.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/6*-6 = -12*-6 strategic 9 OK mt -12*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:34.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT In the group above, you have [-12]*[-6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 72 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:43.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = 72 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:44.0 HINT HINT ES_02 ES_02-8 EG41 -x/6*-6 = 72 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/6*-6 = 72 strategic 3 OK mt -x/6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:49.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:20:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:00.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:06.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 6x/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:12.0 HINT HINT ES_02 ES_02-8 EG41 6x/6 = 72 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:16.0 HINT HINT ES_02 ES_02-8 EG41 6x/6 = 72 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6x/6 = 72 strategic 3 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:25.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG 6x 6x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:49.0 HINT HINT ES_02 ES_02-8 EG41 x = 72 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:50.0 HINT HINT ES_02 ES_02-8 EG41 x = 72 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:54.0 HINT HINT ES_02 ES_02-8 EG41 7 = 8+(x/-6) strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:55.0 HINT HINT ES_02 ES_02-8 EG41 7 = 8+(x/-6) strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:21:58.0 HINT HINT ES_02 ES_02-8 EG41 7 = 8+(x/-6) strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = 8+(x/-6) strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:06.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = 8+(x/-6)-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:06.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = 8+(x/-6)-8 strategic 2 NEXT_HINT Type in 7-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-8 = 8+(x/-6)-8 strategic 3 OK typein 7-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:11.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = 8+(x/-6)-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:11.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = 8+(x/-6)-8 strategic 5 NEXT_HINT Type in 8+(x/-6)-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-8 = 8+(x/-6)-8 strategic 6 OK typein 8+(x/-6)-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:28.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = 8-x/6-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:29.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = 8-x/6-8 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-8 = 8-x/6-8 strategic 3 OK clt 8-x/6-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 BUG x/6 x/6
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 BUG x/6 x/6
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:45.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT x/6 Before working on this answer, perhaps try working on the x terms above. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG 8 8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 8, is not one of the x terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 OK -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:22:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:06.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 1 INITIAL_HINT In the group above, you have [-x/6]. Type [-x/6] here. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 2 OK -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 BUG -x/6 -x/6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 BUG -x/6 -x/6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:19.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 3 INITIAL_HINT -x/6 From the original equation at the top, select 8 and drag it to the constant terms box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 BUG -x/6+-16 -x/6+-16
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 4 ERROR -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 BUG -x/6-16 -x/6-16
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 5 ERROR -x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:42.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 6 INITIAL_HINT -x/6 In the group above, you have [8]+[-8]. Simplify that expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG -x/6-16 -x/6-16
Perhaps you should fill in all the constant terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 7 OK 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -x/6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:54.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = -x/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:55.0 HINT HINT ES_02 ES_02-8 EG41 7-8 = -x/6 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-8 = -x/6 strategic 3 OK clt 7-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:23:58.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 8 INITIAL_HINT In the group above, you have [7]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:06.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -x/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:07.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -x/6 strategic 2 NEXT_HINT In -x/6, x is multiplied by -1/6. How do you change the -1/6 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:11.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -x/6 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -6/1, which is the same as mulitplying by -6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -x/6 strategic 4 OK multiply -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:19.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:21.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 2 NEXT_HINT Type in -1*-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 3 OK typein -1 (-6) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:28.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:29.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 5 NEXT_HINT Type in -x/6*-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 6 OK typein -x/6 (-6) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:38.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:38.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-6 = -x/6*-6 strategic 9 OK mt -x/6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:44.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 6x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:53.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:24:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 36x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK 6x/6 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:05.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = 6x/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:06.0 HINT HINT ES_02 ES_02-8 EG41 -1*-6 = 6x/6 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-6 = 6x/6 strategic 3 OK mt -1*-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:10.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT In the group above, you have [-1]*[-6]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 6 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:18.0 HINT HINT ES_02 ES_02-8 EG41 6 = 6x/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:18.0 HINT HINT ES_02 ES_02-8 EG41 6 = 6x/6 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = 6x/6 strategic 3 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:23.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:31.0 HINT HINT ES_02 ES_02-8 EG41 6 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:31.0 HINT HINT ES_02 ES_02-8 EG41 6 = x strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:36.0 HINT HINT ES_02 ES_02-8 EG41 2 = x/9+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:37.0 HINT HINT ES_02 ES_02-8 EG41 2 = x/9+8 strategic 2 NEXT_HINT 8 is the constant value on the right side. What can you do to both sides of the equation to eliminate the 8 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:40.0 HINT HINT ES_02 ES_02-8 EG41 2 = x/9+8 strategic 3 NEXT_HINT You can subtract 8 from both sides of the equation to eliminate the constant value of 8 (8 - 8 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = x/9+8 strategic 4 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:46.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:47.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 2 NEXT_HINT Type in 2-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 3 OK typein 2-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:51.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:25:52.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 5 NEXT_HINT Type in x/9+8-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 6 OK typein x/9+8-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:01.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:02.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-8 = x/9+8-8 strategic 9 OK clt x/9+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:14.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:15.0 HINT HINT ES_02 ES_02-8 EG41 2-8 = x/9 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-8 = x/9 strategic 3 OK clt 2-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:19.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [2]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -6 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:27.0 HINT HINT ES_02 ES_02-8 EG41 -6 = x/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:28.0 HINT HINT ES_02 ES_02-8 EG41 -6 = x/9 strategic 2 NEXT_HINT In x/9, x is divided by 9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:32.0 HINT HINT ES_02 ES_02-8 EG41 -6 = x/9 strategic 3 NEXT_HINT Multiply both sides by 9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = x/9 strategic 4 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:41.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:42.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 2 NEXT_HINT Type in -6*9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 3 OK typein -6 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:49.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:50.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 5 NEXT_HINT Type in x/9*9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 6 OK typein x/9 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:54.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:55.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:26:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*9 = x/9*9 strategic 9 OK mt x/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:01.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:06.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 9x/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:16.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = 9x/9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:16.0 HINT HINT ES_02 ES_02-8 EG41 -6*9 = 9x/9 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*9 = 9x/9 strategic 3 OK mt -6*9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:20.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT In the group above, you have [-6]*[9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -54 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:29.0 HINT HINT ES_02 ES_02-8 EG41 -54 = 9x/9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:30.0 HINT HINT ES_02 ES_02-8 EG41 -54 = 9x/9 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -54 = 9x/9 strategic 3 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:38.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:44.0 HINT HINT ES_02 ES_02-8 EG41 -54 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:49.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -4+y/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:50.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -4+y/2 strategic 2 NEXT_HINT -4 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -4 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:27:54.0 HINT HINT ES_02 ES_02-8 EG41 -1 = -4+y/2 strategic 3 NEXT_HINT You can add 4 to both sides of the equation to eliminate the constant value of -4 (-4 + 4 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -4+y/2 strategic 4 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:00.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:01.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 2 NEXT_HINT Type in -1+4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 3 OK typein -1+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:06.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:07.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 5 NEXT_HINT Type in -4+y/2+4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 6 OK typein -4+y/2+4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:18.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:18.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+4 = -4+y/2+4 strategic 9 OK clt -4+y/2+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK +4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:41.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = y/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:42.0 HINT HINT ES_02 ES_02-8 EG41 -1+4 = y/2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+4 = y/2 strategic 3 OK clt -1+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:46.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-1]+[4]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:55.0 HINT HINT ES_02 ES_02-8 EG41 3 = y/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:28:56.0 HINT HINT ES_02 ES_02-8 EG41 3 = y/2 strategic 2 NEXT_HINT In y/2, y is divided by 2. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:01.0 HINT HINT ES_02 ES_02-8 EG41 3 = y/2 strategic 3 NEXT_HINT Multiply both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = y/2 strategic 4 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:07.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:08.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 2 NEXT_HINT Type in 3*2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 3 OK typein 3 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:12.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:13.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 5 NEXT_HINT Type in y/2*2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 6 OK typein y/2 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:18.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:19.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*2 = y/2*2 strategic 9 OK mt y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:25.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 2y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:30.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:34.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK y 2/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:41.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y*2/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:44.0 HINT HINT ES_02 ES_02-8 EG41 3*2 = y*2/2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*2 = y*2/2 strategic 3 OK mt 3*2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:49.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT In the group above, you have [3]*[2]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 6 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:57.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*2/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:29:59.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*2/2 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = y*2/2 strategic 3 OK rf y*2/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:04.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG y2 y2
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK y1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:16.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:16.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*1 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = y*1 strategic 3 OK mt y*1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK y1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:25.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*1 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:25.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*1 strategic 5 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = y*1 strategic 6 OK mt y*1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK y1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:32.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*1 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:33.0 HINT HINT ES_02 ES_02-8 EG41 6 = y*1 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = y*1 strategic 9 OK mt y*1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:43.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT Before working on this answer, perhaps try working on the constant factors above. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant factors1R1 strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant factors1R1 strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 1y default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:57.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5 = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:30:58.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5 = -4 strategic 2 NEXT_HINT 5 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 5 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:01.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5 = -4 strategic 3 NEXT_HINT You can subtract 5 from both sides of the equation to eliminate the constant value of 5 (5 - 5 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7+5 = -4 strategic 4 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:08.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:08.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 2 NEXT_HINT Type in x/7+5-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 3 OK typein x/7+5-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:17.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:18.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 5 NEXT_HINT Type in -4-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 6 OK typein -4-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:22.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:23.0 HINT HINT ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7+5-5 = -4-5 strategic 9 OK clt x/7+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:33.0 HINT HINT ES_02 ES_02-8 EG41 x/7 = -4-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:34.0 HINT HINT ES_02 ES_02-8 EG41 x/7 = -4-5 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7 = -4-5 strategic 3 OK clt -4-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:37.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-4]+[-5]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:46.0 HINT HINT ES_02 ES_02-8 EG41 x/7 = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:47.0 HINT HINT ES_02 ES_02-8 EG41 x/7 = -9 strategic 2 NEXT_HINT In x/7, x is divided by 7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:50.0 HINT HINT ES_02 ES_02-8 EG41 x/7 = -9 strategic 3 NEXT_HINT Multiply both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:31:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7 = -9 strategic 4 BUG divide 7 To remove the coefficient of x/7, you need to divide by 1/7 or multiply by 7. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7 = -9 strategic 5 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:05.0 HINT HINT ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:05.0 HINT HINT ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 2 NEXT_HINT Type in x/7*7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 3 OK typein x/7 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:10.0 HINT HINT ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:11.0 HINT HINT ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 5 NEXT_HINT Type in -9*7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 6 OK typein -9 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:15.0 HINT HINT ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:16.0 HINT HINT ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7*7 = -9*7 strategic 9 OK mt x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:24.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 7x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 ERROR 7' default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 7x/7 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:36.0 HINT HINT ES_02 ES_02-8 EG41 7x/7 = -9*7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:37.0 HINT HINT ES_02 ES_02-8 EG41 7x/7 = -9*7 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7x/7 = -9*7 strategic 3 OK mt -9*7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:41.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT In the group above, you have [-9]*[7]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:49.0 HINT HINT ES_02 ES_02-8 EG41 7x/7 = -63 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:50.0 HINT HINT ES_02 ES_02-8 EG41 7x/7 = -63 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7x/7 = -63 strategic 3 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:55.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:32:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:01.0 HINT HINT ES_02 ES_02-8 EG41 x = -63 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:06.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9) = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:07.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9) = -3 strategic 2 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:11.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9) = -3 strategic 3 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(x/-9) = -3 strategic 4 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:18.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9)-2 = -3-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:19.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9)-2 = -3-2 strategic 2 NEXT_HINT Type in 2+(x/-9)-2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(x/-9)-2 = -3-2 strategic 3 OK typein 2+(x/-9)-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:37.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9)-2 = -3-2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:37.0 HINT HINT ES_02 ES_02-8 EG41 2+(x/-9)-2 = -3-2 strategic 5 NEXT_HINT Type in -3-2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(x/-9)-2 = -3-2 strategic 6 OK typein -3-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:41.0 HINT HINT ES_02 ES_02-8 EG41 2-x/9-2 = -3-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:42.0 HINT HINT ES_02 ES_02-8 EG41 2-x/9-2 = -3-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2-x/9-2 = -3-2 strategic 3 OK clt 2-x/9-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 BUG x/9 x/9
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -x/9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:56.0 HINT HINT ES_02 ES_02-8 EG41 -x/9 = -3-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:57.0 HINT HINT ES_02 ES_02-8 EG41 -x/9 = -3-2 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:33:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9 = -3-2 strategic 3 OK clt -3-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:01.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 3 INITIAL_HINT In the group above, you have [-3]+[-2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:08.0 HINT HINT ES_02 ES_02-8 EG41 -x/9 = -5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:09.0 HINT HINT ES_02 ES_02-8 EG41 -x/9 = -5 strategic 2 NEXT_HINT In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:13.0 HINT HINT ES_02 ES_02-8 EG41 -x/9 = -5 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -9/1, which is the same as mulitplying by -9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9 = -5 strategic 4 OK multiply -9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:22.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:22.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 2 NEXT_HINT Type in -x/9*-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 3 OK typein -x/9 (-9) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:34.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:34.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 5 NEXT_HINT Type in -5*-9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 6 OK typein -5(-9) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:45.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:46.0 HINT HINT ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -x/9*-9 = -5*-9 strategic 9 OK mt -x/9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:34:55.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 9x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 9x/9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:15.0 HINT HINT ES_02 ES_02-8 EG41 9x/9 = -5*-9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:16.0 HINT HINT ES_02 ES_02-8 EG41 9x/9 = -5*-9 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9x/9 = -5*-9 strategic 3 OK mt -5*-9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:21.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT In the group above, you have [-5]*[-9]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 45 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:30.0 HINT HINT ES_02 ES_02-8 EG41 9x/9 = 45 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:31.0 HINT HINT ES_02 ES_02-8 EG41 9x/9 = 45 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9x/9 = 45 strategic 3 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:38.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:47.0 HINT HINT ES_02 ES_02-8 EG41 x = 45 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:49.0 HINT HINT ES_02 ES_02-8 EG41 x = 45 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:54.0 HINT HINT ES_02 ES_02-8 EG41 -1 = y/3-2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:54.0 HINT HINT ES_02 ES_02-8 EG41 -1 = y/3-2 strategic 2 NEXT_HINT -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:35:58.0 HINT HINT ES_02 ES_02-8 EG41 -1 = y/3-2 strategic 3 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = y/3-2 strategic 4 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:04.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:05.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 2 NEXT_HINT Type in -1+2 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 3 OK typein -1+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:09.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:10.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 5 NEXT_HINT Type in y/3-2+2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 6 OK typein y/3-2+2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:20.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 7 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:20.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 8 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+2 = y/3-2+2 strategic 9 OK clt y/3-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:31.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:32.0 HINT HINT ES_02 ES_02-8 EG41 -1+2 = y/3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+2 = y/3 strategic 3 OK clt -1+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:38.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT In the group above, you have [-1]+[2]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:51.0 HINT HINT ES_02 ES_02-8 EG41 1 = y/3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:52.0 HINT HINT ES_02 ES_02-8 EG41 1 = y/3 strategic 2 NEXT_HINT In y/3, y is divided by 3. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:36:55.0 HINT HINT ES_02 ES_02-8 EG41 1 = y/3 strategic 3 NEXT_HINT Multiply both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/3 strategic 4 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:02.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:02.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 2 NEXT_HINT Type in 1*3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 3 OK typein 1 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:08.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:09.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 5 NEXT_HINT Type in y/3*3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 6 OK typein y/3 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:16.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:17.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*3 = y/3*3 strategic 9 OK mt y/3*3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 3y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 3y/3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:34.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = 3y/3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:35.0 HINT HINT ES_02 ES_02-8 EG41 1*3 = 3y/3 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*3 = 3y/3 strategic 3 OK mt 1*3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 3 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:41.0 HINT HINT ES_02 ES_02-8 EG41 3 = 3y/3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:42.0 HINT HINT ES_02 ES_02-8 EG41 3 = 3y/3 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = 3y/3 strategic 3 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:46.0 HINT HINT ES_02 ES_02-8 EG41 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:37:54.0 HINT HINT ES_02 ES_02-8 EG41 3 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:05.0 HINT HINT ES_02 ES_02-9 EG44 8/y = 2 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:06.0 HINT HINT ES_02 ES_02-9 EG44 8/y = 2 strategic 2 NEXT_HINT 8/y is 8 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:10.0 HINT HINT ES_02 ES_02-9 EG44 8/y = 2 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = 2 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:20.0 HINT HINT ES_02 ES_02-9 EG44 8/y*y = 2y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:20.0 HINT HINT ES_02 ES_02-9 EG44 8/y*y = 2y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y*y = 2y strategic 3 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:24.0 HINT HINT ES_02 ES_02-9 EG44 8 = 2y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:25.0 HINT HINT ES_02 ES_02-9 EG44 8 = 2y strategic 2 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:28.0 HINT HINT ES_02 ES_02-9 EG44 8 = 2y strategic 3 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 2y strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:34.0 HINT HINT ES_02 ES_02-9 EG44 8/2 = 2y/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:35.0 HINT HINT ES_02 ES_02-9 EG44 8/2 = 2y/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/2 = 2y/2 strategic 3 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:41.0 HINT HINT ES_02 ES_02-9 EG44 8/2 = y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:42.0 HINT HINT ES_02 ES_02-9 EG44 8/2 = y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/2 = y strategic 3 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:50.0 HINT HINT ES_02 ES_02-9 EG44 -5/x = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:51.0 HINT HINT ES_02 ES_02-9 EG44 -5/x = 6 strategic 2 NEXT_HINT -5/x is -5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:38:59.0 HINT HINT ES_02 ES_02-9 EG44 -5/x = 6 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = 6 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:08.0 HINT HINT ES_02 ES_02-9 EG44 -5/x*x = 6x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:08.0 HINT HINT ES_02 ES_02-9 EG44 -5/x*x = 6x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x*x = 6x strategic 3 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:12.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 6x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:13.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 6x strategic 2 NEXT_HINT 6x is 6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:17.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 6x strategic 3 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 6x strategic 4 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:23.0 HINT HINT ES_02 ES_02-9 EG44 -5/6 = 6x/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:24.0 HINT HINT ES_02 ES_02-9 EG44 -5/6 = 6x/6 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/6 = 6x/6 strategic 3 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:27.0 HINT HINT ES_02 ES_02-9 EG44 -5/6 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:28.0 HINT HINT ES_02 ES_02-9 EG44 -5/6 = x strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:33.0 HINT HINT ES_02 ES_02-9 EG44 -10/x = -1 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:34.0 HINT HINT ES_02 ES_02-9 EG44 -10/x = -1 strategic 2 NEXT_HINT -10/x is -10 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:37.0 HINT HINT ES_02 ES_02-9 EG44 -10/x = -1 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -1 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:45.0 HINT HINT ES_02 ES_02-9 EG44 -10/x*x = -1x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:45.0 HINT HINT ES_02 ES_02-9 EG44 -10/x*x = -1x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x*x = -1x strategic 3 OK mt -10/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:50.0 HINT HINT ES_02 ES_02-9 EG44 -10 = -1x strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:52.0 HINT HINT ES_02 ES_02-9 EG44 -10 = -1x strategic 2 NEXT_HINT -1x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:39:55.0 HINT HINT ES_02 ES_02-9 EG44 -10 = -1x strategic 3 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = -1x strategic 4 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:03.0 HINT HINT ES_02 ES_02-9 EG44 -10/-1 = -1x/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:04.0 HINT HINT ES_02 ES_02-9 EG44 -10/-1 = -1x/-1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-1 = -1x/-1 strategic 3 OK rf -1x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:11.0 HINT HINT ES_02 ES_02-9 EG44 -10/-1 = x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:13.0 HINT HINT ES_02 ES_02-9 EG44 -10/-1 = x strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:17.0 HINT HINT ES_02 ES_02-9 EG44 -10/-1 = x strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-1 = x strategic 4 OK rf -10/-1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:23.0 HINT HINT ES_02 ES_02-9 EG44 10 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:29.0 HINT HINT ES_02 ES_02-9 EG44 -6/x = 1 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:30.0 HINT HINT ES_02 ES_02-9 EG44 -6/x = 1 strategic 2 NEXT_HINT -6/x is -6 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:38.0 HINT HINT ES_02 ES_02-9 EG44 -6/x = 1 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x = 1 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:57.0 HINT HINT ES_02 ES_02-9 EG44 -6/x*x = 1x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:40:58.0 HINT HINT ES_02 ES_02-9 EG44 -6/x*x = 1x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x*x = 1x strategic 3 OK mt -6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:20.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 1x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:21.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 1x strategic 2 NEXT_HINT 1x is 1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:25.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 1x strategic 3 NEXT_HINT Divide both sides by 1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 1x strategic 4 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:43.0 HINT HINT ES_02 ES_02-9 EG44 -6/1 = 1x/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:44.0 HINT HINT ES_02 ES_02-9 EG44 -6/1 = 1x/1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/1 = 1x/1 strategic 3 OK rf -6/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:52.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 1x/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:52.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 1x/1 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 1x/1 strategic 3 OK rf 1x/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:41:57.0 HINT HINT ES_02 ES_02-9 EG44 -6 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:03.0 HINT HINT ES_02 ES_02-9 EG44 -4/x = -9 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:04.0 HINT HINT ES_02 ES_02-9 EG44 -4/x = -9 strategic 2 NEXT_HINT -4/x is -4 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:08.0 HINT HINT ES_02 ES_02-9 EG44 -4/x = -9 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x = -9 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:16.0 HINT HINT ES_02 ES_02-9 EG44 -4/x*x = -9x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:17.0 HINT HINT ES_02 ES_02-9 EG44 -4/x*x = -9x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x*x = -9x strategic 3 OK mt -4/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:21.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -9x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:22.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -9x strategic 2 NEXT_HINT -9x is -9 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:25.0 HINT HINT ES_02 ES_02-9 EG44 -4 = -9x strategic 3 NEXT_HINT Divide both sides by -9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -9x strategic 4 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:39.0 HINT HINT ES_02 ES_02-9 EG44 -4/-9 = -9x/-9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:39.0 HINT HINT ES_02 ES_02-9 EG44 -4/-9 = -9x/-9 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/-9 = -9x/-9 strategic 3 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:45.0 HINT HINT ES_02 ES_02-9 EG44 -4/-9 = x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:46.0 HINT HINT ES_02 ES_02-9 EG44 -4/-9 = x strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/-9 = x strategic 3 BUG clt -4/-9 = x strategic You already solved the equation. x is -4/-9. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:55.0 HINT HINT ES_02 ES_02-9 EG44 2/x = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:56.0 HINT HINT ES_02 ES_02-9 EG44 2/x = -5 strategic 2 NEXT_HINT 2/x is 2 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:42:59.0 HINT HINT ES_02 ES_02-9 EG44 2/x = -5 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = -5 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:06.0 HINT HINT ES_02 ES_02-9 EG44 2/x*x = -5x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:08.0 HINT HINT ES_02 ES_02-9 EG44 2/x*x = -5x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x*x = -5x strategic 3 OK mt 2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:11.0 HINT HINT ES_02 ES_02-9 EG44 2 = -5x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:12.0 HINT HINT ES_02 ES_02-9 EG44 2 = -5x strategic 2 NEXT_HINT -5x is -5 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:16.0 HINT HINT ES_02 ES_02-9 EG44 2 = -5x strategic 3 NEXT_HINT Divide both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -5x strategic 4 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:25.0 HINT HINT ES_02 ES_02-9 EG44 2/-5 = -5x/-5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:26.0 HINT HINT ES_02 ES_02-9 EG44 2/-5 = -5x/-5 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-5 = -5x/-5 strategic 3 OK rf 2/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:31.0 HINT HINT ES_02 ES_02-9 EG44 -2/5 = -5x/-5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:32.0 HINT HINT ES_02 ES_02-9 EG44 -2/5 = -5x/-5 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/5 = -5x/-5 strategic 3 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:35.0 HINT HINT ES_02 ES_02-9 EG44 -2/5 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:36.0 HINT HINT ES_02 ES_02-9 EG44 -2/5 = x strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:41.0 HINT HINT ES_02 ES_02-9 EG44 6 = 9/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:42.0 HINT HINT ES_02 ES_02-9 EG44 6 = 9/x strategic 2 NEXT_HINT 9/x is 9 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:45.0 HINT HINT ES_02 ES_02-9 EG44 6 = 9/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = 9/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:53.0 HINT HINT ES_02 ES_02-9 EG44 6x = 9/x*x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:54.0 HINT HINT ES_02 ES_02-9 EG44 6x = 9/x*x strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = 9/x*x strategic 3 OK mt 9/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:58.0 HINT HINT ES_02 ES_02-9 EG44 6x = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:43:58.0 HINT HINT ES_02 ES_02-9 EG44 6x = 9 strategic 2 NEXT_HINT 6x is 6 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:02.0 HINT HINT ES_02 ES_02-9 EG44 6x = 9 strategic 3 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = 9 strategic 4 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:10.0 HINT HINT ES_02 ES_02-9 EG44 6x/6 = 9/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:11.0 HINT HINT ES_02 ES_02-9 EG44 6x/6 = 9/6 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x/6 = 9/6 strategic 3 OK rf 9/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:18.0 HINT HINT ES_02 ES_02-9 EG44 6x/6 = 3/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:19.0 HINT HINT ES_02 ES_02-9 EG44 6x/6 = 3/2 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x/6 = 3/2 strategic 3 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:23.0 HINT HINT ES_02 ES_02-9 EG44 x = 3/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:24.0 HINT HINT ES_02 ES_02-9 EG44 x = 3/2 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:34.0 HINT HINT ES_02 ES_02-9 EG44 6 = -5/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:35.0 HINT HINT ES_02 ES_02-9 EG44 6 = -5/y strategic 2 NEXT_HINT -5/y is -5 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:39.0 HINT HINT ES_02 ES_02-9 EG44 6 = -5/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -5/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:46.0 HINT HINT ES_02 ES_02-9 EG44 6y = -5/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:47.0 HINT HINT ES_02 ES_02-9 EG44 6y = -5/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = -5/y*y strategic 3 OK mt -5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:50.0 HINT HINT ES_02 ES_02-9 EG44 6y = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:51.0 HINT HINT ES_02 ES_02-9 EG44 6y = -5 strategic 2 NEXT_HINT 6y is 6 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:44:55.0 HINT HINT ES_02 ES_02-9 EG44 6y = -5 strategic 3 NEXT_HINT Divide both sides by 6. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = -5 strategic 4 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:01.0 HINT HINT ES_02 ES_02-9 EG44 6y/6 = -5/6 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:02.0 HINT HINT ES_02 ES_02-9 EG44 6y/6 = -5/6 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y/6 = -5/6 strategic 3 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:06.0 HINT HINT ES_02 ES_02-9 EG44 y = -5/6 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:07.0 HINT HINT ES_02 ES_02-9 EG44 y = -5/6 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:12.0 HINT HINT ES_02 ES_02-9 EG44 -10/y = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:13.0 HINT HINT ES_02 ES_02-9 EG44 -10/y = 5 strategic 2 NEXT_HINT -10/y is -10 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:18.0 HINT HINT ES_02 ES_02-9 EG44 -10/y = 5 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/y = 5 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:25.0 HINT HINT ES_02 ES_02-9 EG44 -10/y*y = 5y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:26.0 HINT HINT ES_02 ES_02-9 EG44 -10/y*y = 5y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/y*y = 5y strategic 3 OK mt -10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:30.0 HINT HINT ES_02 ES_02-9 EG44 -10 = 5y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:31.0 HINT HINT ES_02 ES_02-9 EG44 -10 = 5y strategic 2 NEXT_HINT 5y is 5 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:36.0 HINT HINT ES_02 ES_02-9 EG44 -10 = 5y strategic 3 NEXT_HINT Divide both sides by 5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = 5y strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:43.0 HINT HINT ES_02 ES_02-9 EG44 -10/5 = 5y/5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:44.0 HINT HINT ES_02 ES_02-9 EG44 -10/5 = 5y/5 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/5 = 5y/5 strategic 3 OK rf -10/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:51.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5y/5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:51.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 5y/5 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 5y/5 strategic 3 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:45:55.0 HINT HINT ES_02 ES_02-9 EG44 -2 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:01.0 HINT HINT ES_02 ES_02-9 EG44 7/y = 7 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:02.0 HINT HINT ES_02 ES_02-9 EG44 7/y = 7 strategic 2 NEXT_HINT 7/y is 7 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:06.0 HINT HINT ES_02 ES_02-9 EG44 7/y = 7 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = 7 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:15.0 HINT HINT ES_02 ES_02-9 EG44 7/y*y = 7y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:15.0 HINT HINT ES_02 ES_02-9 EG44 7/y*y = 7y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y*y = 7y strategic 3 OK mt 7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:20.0 HINT HINT ES_02 ES_02-9 EG44 7 = 7y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:21.0 HINT HINT ES_02 ES_02-9 EG44 7 = 7y strategic 2 NEXT_HINT 7y is 7 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:24.0 HINT HINT ES_02 ES_02-9 EG44 7 = 7y strategic 3 NEXT_HINT Divide both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = 7y strategic 4 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:31.0 HINT HINT ES_02 ES_02-9 EG44 7/7 = 7y/7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:31.0 HINT HINT ES_02 ES_02-9 EG44 7/7 = 7y/7 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/7 = 7y/7 strategic 3 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:38.0 HINT HINT ES_02 ES_02-9 EG44 7/7 = y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:38.0 HINT HINT ES_02 ES_02-9 EG44 7/7 = y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/7 = y strategic 3 OK rf 7/7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:42.0 HINT HINT ES_02 ES_02-9 EG44 1 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:48.0 HINT HINT ES_02 ES_02-9 EG44 1 = 6/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:49.0 HINT HINT ES_02 ES_02-9 EG44 1 = 6/y strategic 2 NEXT_HINT 6/y is 6 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:53.0 HINT HINT ES_02 ES_02-9 EG44 1 = 6/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:46:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1 = 6/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:00.0 HINT HINT ES_02 ES_02-9 EG44 1y = 6/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:01.0 HINT HINT ES_02 ES_02-9 EG44 1y = 6/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y = 6/y*y strategic 3 OK mt 6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:06.0 HINT HINT ES_02 ES_02-9 EG44 1y = 6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:07.0 HINT HINT ES_02 ES_02-9 EG44 1y = 6 strategic 2 NEXT_HINT 1y is 1 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:10.0 HINT HINT ES_02 ES_02-9 EG44 1y = 6 strategic 3 NEXT_HINT Divide both sides by 1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y = 6 strategic 4 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:16.0 HINT HINT ES_02 ES_02-9 EG44 1y/1 = 6/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:17.0 HINT HINT ES_02 ES_02-9 EG44 1y/1 = 6/1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y/1 = 6/1 strategic 3 OK rf 1y/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:26.0 HINT HINT ES_02 ES_02-9 EG44 y = 6/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:27.0 HINT HINT ES_02 ES_02-9 EG44 y = 6/1 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 6/1 strategic 3 BUG rds y = 6/1 strategic You already solved the equation. y is 6/1. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 6/1 strategic 4 OK rf 6/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:49.0 HINT HINT ES_02 ES_02-9 EG44 -8 = 8/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:50.0 HINT HINT ES_02 ES_02-9 EG44 -8 = 8/y strategic 2 NEXT_HINT 8/y is 8 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:47:54.0 HINT HINT ES_02 ES_02-9 EG44 -8 = 8/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 8/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:02.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 8/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:03.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 8/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 8/y*y strategic 3 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:20.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:21.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 8 strategic 2 NEXT_HINT -8y is -8 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:25.0 HINT HINT ES_02 ES_02-9 EG44 -8y = 8 strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y = 8 strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:36.0 HINT HINT ES_02 ES_02-9 EG44 -8y/-8 = 8/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:37.0 HINT HINT ES_02 ES_02-9 EG44 -8y/-8 = 8/-8 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8y/-8 = 8/-8 strategic 3 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:45.0 HINT HINT ES_02 ES_02-9 EG44 y = 8/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:46.0 HINT HINT ES_02 ES_02-9 EG44 y = 8/-8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 8/-8 strategic 3 OK rf 8/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:54.0 HINT HINT ES_02 ES_02-9 EG44 9/y = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:55.0 HINT HINT ES_02 ES_02-9 EG44 9/y = -4 strategic 2 NEXT_HINT 9/y is 9 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:48:58.0 HINT HINT ES_02 ES_02-9 EG44 9/y = -4 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = -4 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:08.0 HINT HINT ES_02 ES_02-9 EG44 9/y*y = -4y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:08.0 HINT HINT ES_02 ES_02-9 EG44 9/y*y = -4y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = -4y strategic 3 ERROR rf 9/y*y = -4y strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = -4y strategic 4 OK mt 9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:14.0 HINT HINT ES_02 ES_02-9 EG44 9 = -4y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:15.0 HINT HINT ES_02 ES_02-9 EG44 9 = -4y strategic 2 NEXT_HINT -4y is -4 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:18.0 HINT HINT ES_02 ES_02-9 EG44 9 = -4y strategic 3 NEXT_HINT Divide both sides by -4. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -4y strategic 4 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:27.0 HINT HINT ES_02 ES_02-9 EG44 9/-4 = -4y/-4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:28.0 HINT HINT ES_02 ES_02-9 EG44 9/-4 = -4y/-4 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/-4 = -4y/-4 strategic 3 OK rf 9/-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:33.0 HINT HINT ES_02 ES_02-9 EG44 -9/4 = -4y/-4 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:34.0 HINT HINT ES_02 ES_02-9 EG44 -9/4 = -4y/-4 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/4 = -4y/-4 strategic 3 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:37.0 HINT HINT ES_02 ES_02-9 EG44 -9/4 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:38.0 HINT HINT ES_02 ES_02-9 EG44 -9/4 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:43.0 HINT HINT ES_02 ES_02-9 EG44 8 = -4/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:43.0 HINT HINT ES_02 ES_02-9 EG44 8 = -4/y strategic 2 NEXT_HINT -4/y is -4 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:49.0 HINT HINT ES_02 ES_02-9 EG44 8 = -4/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -4/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:58.0 HINT HINT ES_02 ES_02-9 EG44 8y = -4/y*y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:49:59.0 HINT HINT ES_02 ES_02-9 EG44 8y = -4/y*y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y = -4/y*y strategic 3 OK mt -4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:08.0 HINT HINT ES_02 ES_02-9 EG44 8y = -4 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:09.0 HINT HINT ES_02 ES_02-9 EG44 8y = -4 strategic 2 NEXT_HINT 8y is 8 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:13.0 HINT HINT ES_02 ES_02-9 EG44 8y = -4 strategic 3 NEXT_HINT Divide both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y = -4 strategic 4 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:20.0 HINT HINT ES_02 ES_02-9 EG44 8y/8 = -4/8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:21.0 HINT HINT ES_02 ES_02-9 EG44 8y/8 = -4/8 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y/8 = -4/8 strategic 3 OK rf -4/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:27.0 HINT HINT ES_02 ES_02-9 EG44 8y/8 = -1/2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:27.0 HINT HINT ES_02 ES_02-9 EG44 8y/8 = -1/2 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y/8 = -1/2 strategic 3 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:32.0 HINT HINT ES_02 ES_02-9 EG44 y = -1/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:32.0 HINT HINT ES_02 ES_02-9 EG44 y = -1/2 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:37.0 HINT HINT ES_02 ES_02-9 EG44 -6/y = 7 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:38.0 HINT HINT ES_02 ES_02-9 EG44 -6/y = 7 strategic 2 NEXT_HINT -6/y is -6 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:44.0 HINT HINT ES_02 ES_02-9 EG44 -6/y = 7 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/y = 7 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:52.0 HINT HINT ES_02 ES_02-9 EG44 -6/y*y = 7y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:53.0 HINT HINT ES_02 ES_02-9 EG44 -6/y*y = 7y strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/y*y = 7y strategic 3 OK mt -6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:57.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 7y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:50:58.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 7y strategic 2 NEXT_HINT 7y is 7 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:01.0 HINT HINT ES_02 ES_02-9 EG44 -6 = 7y strategic 3 NEXT_HINT Divide both sides by 7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 7y strategic 4 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:10.0 HINT HINT ES_02 ES_02-9 EG44 -6/7 = 7y/7 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:11.0 HINT HINT ES_02 ES_02-9 EG44 -6/7 = 7y/7 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/7 = 7y/7 strategic 3 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:15.0 HINT HINT ES_02 ES_02-9 EG44 -6/7 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:51:56.0 HINT HINT ES_02 ES_02-9 EG44 -6/7 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:12.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -8/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:14.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -8/y strategic 2 NEXT_HINT -8/y is -8 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:17.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -8/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -8/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:25.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:26.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 2 NEXT_HINT Type in -2y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 3 OK typein -2y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:33.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:34.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 5 NEXT_HINT Type in -8/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 6 OK typein -8/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:50.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:51.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:52:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -8/y*y strategic 9 OK mt -8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -8y/1y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -8y/1y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:24.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT -8y/1y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -8y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:35.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8y/y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:35.0 HINT HINT ES_02 ES_02-10 EG44 -2y = -8y/y strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y = -8y/y strategic 3 OK rf -8y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:40.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG -1y -1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG -8y -8y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:53:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 BUG -0y -0y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG -8y -8y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 BUG 8y 8y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 BUG 8y 8y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 BUG 8y 8y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:25.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 12 INITIAL_HINT 8y Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:36.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 13 INITIAL_HINT 8y Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:52.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 14 INITIAL_HINT 8y Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:54:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 4 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:01.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:13.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 1 INITIAL_HINT From the original equation at the top, select y from the denominator and drag it to the denominator of the y factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:19.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 5 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 6 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 7 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:29.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 15 BUG -1y -1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:40.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:55:57.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:56:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session28 2006-01-11 08:56:12.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:30.0 HINT HINT ES_02 ES_02-10 EG44 -7/x = -8 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:31.0 HINT HINT ES_02 ES_02-10 EG44 -7/x = -8 strategic 2 NEXT_HINT -7/x is -7 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:34.0 HINT HINT ES_02 ES_02-10 EG44 -7/x = -8 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = -8 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:43.0 HINT HINT ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:44.0 HINT HINT ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 2 NEXT_HINT Type in -7/x*x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 3 OK typein -7/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:58.0 HINT HINT ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:32:59.0 HINT HINT ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 5 NEXT_HINT Type in -8x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 6 OK typein -8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:04.0 HINT HINT ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:05.0 HINT HINT ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x*x = -8x strategic 9 OK mt -7/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:10.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -7x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:18.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:23.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -7x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:29.0 HINT HINT ES_02 ES_02-10 EG44 -7x/x = -8x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:30.0 HINT HINT ES_02 ES_02-10 EG44 -7x/x = -8x strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/x = -8x strategic 3 OK rf -7x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:35.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG -7x -7x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:43.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select -7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:33:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:34:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:34:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:34:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:34:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:34:11.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT -7x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:35:17.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT -7x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:35:24.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT -7x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:35:41.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:35:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:35:51.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:35:53.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:03.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-7]/[1] is 1. This set of entry boxes represent the simplified form of [-7]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:17.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:32.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-7]/[1] is 1. This set of entry boxes represent the simplified form of [-7]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:41.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:51.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 7 INITIAL_HINT -7x Above is the simplified form of the expression -7x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:57.0 HINT HINT ES_02 ES_02-10 EG44 -7 = -8x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:36:58.0 HINT HINT ES_02 ES_02-10 EG44 -7 = -8x strategic 2 NEXT_HINT -8x is -8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:05.0 HINT HINT ES_02 ES_02-10 EG44 -7 = -8x strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = -8x strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:13.0 HINT HINT ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:14.0 HINT HINT ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 2 NEXT_HINT Type in -7/-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 3 OK typein -7/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:27.0 HINT HINT ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:28.0 HINT HINT ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 5 NEXT_HINT Type in -8x/-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 6 OK typein -8x/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:36.0 HINT HINT ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:37.0 HINT HINT ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-8 = -8x/-8 strategic 9 OK rf -7/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:44.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression -7/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK 7/8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:49.0 HINT HINT ES_02 ES_02-10 EG44 7/8 = -8x/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:50.0 HINT HINT ES_02 ES_02-10 EG44 7/8 = -8x/-8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/8 = -8x/-8 strategic 3 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:54.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:37:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:06.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:14.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 4 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:19.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-8] is -8. This set of entry boxes represent the simplified form of [-8]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 ERROR -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:32.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 4 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 5 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:44.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-8] is -8. This set of entry boxes represent the simplified form of [-8]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:38:55.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:07.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 11 INITIAL_HINT Above is the simplified form of the expression -8x/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:12.0 HINT HINT ES_02 ES_02-10 EG44 7/8 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:17.0 HINT HINT ES_02 ES_02-10 EG44 1 = 3/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:18.0 HINT HINT ES_02 ES_02-10 EG44 1 = 3/x strategic 2 NEXT_HINT 3/x is 3 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:22.0 HINT HINT ES_02 ES_02-10 EG44 1 = 3/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = 3/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:28.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:29.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3/x*x strategic 2 NEXT_HINT Type in 1x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 3/x*x strategic 3 OK typein 1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:35.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:36.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3/x*x strategic 5 NEXT_HINT Type in 3/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 3/x*x strategic 6 OK typein 3/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:42.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3/x*x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:43.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3/x*x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 3/x*x strategic 9 OK mt 3/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:47.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK 3x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:53.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:39:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 3x/1x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR 1x/3x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR 1x/3x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR 1x/3x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR 1x/3x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:10.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT 1x/3x Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 3x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:17.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:19.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 3x/x strategic 3 OK rf 3x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:23.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG 3x 3X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:53.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 14 INITIAL_HINT 1x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:40:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:09.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 15 INITIAL_HINT 1x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:15.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:21.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:33.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT From the original equation at the top, select x from the denominator and drag it to the denominator of the x factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:38.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [3]/[1] is 1. This set of entry boxes represent the simplified form of [3]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:48.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 BUG x x
Perhaps you should fill in the denominator of the x factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:41:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 4 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 BUG 3 3
Perhaps you should fill in the denominator of the x factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:05.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 16 INITIAL_HINT 1x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:10.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 3 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:15.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT x The common factor between the numerator and denominator of [3]/[1] is 1. This set of entry boxes represent the simplified form of [3]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 BUG 3 3
Perhaps you should fill in the denominator of the x factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:20.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 3 INITIAL_HINT 3 Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:23.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 4 INITIAL_HINT x Before working on this answer, perhaps try filling in the denominator in the x factors above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 5 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 5 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:34.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 6 INITIAL_HINT x The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 7 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:46.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 4 INITIAL_HINT 3 The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:56.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 17 INITIAL_HINT 1x Above is the simplified form of the expression 3x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:42:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 18 ERROR 2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 19 OK 3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:07.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:08.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3 strategic 2 NEXT_HINT 1x is 1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:12.0 HINT HINT ES_02 ES_02-10 EG44 1x = 3 strategic 3 NEXT_HINT Divide both sides by 1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 3 strategic 4 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:18.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:19.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 2 NEXT_HINT Type in 1x/1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 3 OK typein 1x/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:24.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:24.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 5 NEXT_HINT Type in 3/1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 6 OK typein 3/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:27.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:28.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x/1 = 3/1 strategic 9 OK rf 1x/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:35.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT Because there are no constant factors in the numerator of x/1, you must double-click in order to enter a 1. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 3 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 4 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:45.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:43:53.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:07.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [1]/[1] is 1. This set of entry boxes represent the simplified form of [1]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:16.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 8 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 9 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:28.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 5 INITIAL_HINT The common factor between the numerator and denominator of [1]/[1] is 1. This set of entry boxes represent the simplified form of [1]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 20 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:43.0 HINT HINT ES_02 ES_02-10 EG44 x = 3/1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:44.0 HINT HINT ES_02 ES_02-10 EG44 x = 3/1 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = 3/1 strategic 3 OK rf 3/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 8 ERROR 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 9 ERROR 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:53.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 10 INITIAL_HINT 3 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 11 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:44:57.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 INITIAL_HINT The common factor between the numerator and denominator of [3]/[1] is 1. This set of entry boxes represent the simplified form of [3]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 6 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:02.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 7 INITIAL_HINT The common factor between the numerator and denominator of [3]/[1] is 1. This set of entry boxes represent the simplified form of [3]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 8 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:13.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 21 INITIAL_HINT Above is the simplified form of the expression 3/1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 22 OK 3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:17.0 HINT HINT ES_02 ES_02-10 EG44 x = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:22.0 HINT HINT ES_02 ES_02-10 EG44 8 = 5/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:23.0 HINT HINT ES_02 ES_02-10 EG44 8 = 5/x strategic 2 NEXT_HINT 5/x is 5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:27.0 HINT HINT ES_02 ES_02-10 EG44 8 = 5/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = 5/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:35.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:36.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5/x*x strategic 2 NEXT_HINT Type in 8x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = 5/x*x strategic 3 OK typein 8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:39.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:40.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5/x*x strategic 5 NEXT_HINT Type in 5/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = 5/x*x strategic 6 OK typein 5/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:46.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5/x*x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:49.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5/x*x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = 5/x*x strategic 9 OK mt 5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:53.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:45:58.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:03.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 5x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:10.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:12.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = 5x/x strategic 3 OK rf 5x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:18.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG 5x 5x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK 5x/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:37.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5x/x strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:38.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5x/x strategic 5 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = 5x/x strategic 6 OK rf 5x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:43.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:46:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:00.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:12.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:17.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[1] is 1. This set of entry boxes represent the simplified form of [5]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:28.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:39.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[1] is 1. This set of entry boxes represent the simplified form of [5]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:47.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:47:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:00.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 7 INITIAL_HINT Above is the simplified form of the expression 5x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK 5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:05.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:06.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5 strategic 2 NEXT_HINT 8x is 8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:10.0 HINT HINT ES_02 ES_02-10 EG44 8x = 5 strategic 3 NEXT_HINT Divide both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = 5 strategic 4 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:18.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:19.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 2 NEXT_HINT Type in 8x/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 3 ERROR typein 8x/x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 4 OK typein 8x/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:28.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:29.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 6 NEXT_HINT Type in 5/8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 7 OK typein 5/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:35.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 8 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:36.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 9 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = 5/8 strategic 10 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:41.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 3 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 5 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:48.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:48:56.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:02.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [8]/[8] is 8. This set of entry boxes represent the simplified form of [8]/[8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:11.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 4 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:22.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [8]/[8] is 8. This set of entry boxes represent the simplified form of [8]/[8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:33.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 4 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:41.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression 8x/8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:48.0 HINT HINT ES_02 ES_02-10 EG44 x = 5/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:48.0 HINT HINT ES_02 ES_02-10 EG44 x = 5/8 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:52.0 HINT HINT ES_02 ES_02-10 EG44 -1 = 5/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:53.0 HINT HINT ES_02 ES_02-10 EG44 -1 = 5/x strategic 2 NEXT_HINT 5/x is 5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:49:57.0 HINT HINT ES_02 ES_02-10 EG44 -1 = 5/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1 = 5/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:09.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:09.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5/x*x strategic 2 NEXT_HINT Type in -1x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = 5/x*x strategic 3 OK typein -1x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:15.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:16.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5/x*x strategic 5 NEXT_HINT Type in 5/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = 5/x*x strategic 6 OK typein 5x/x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:25.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:26.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = 5x/x strategic 3 OK rf 5x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:37.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG 1x 1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 5x 5x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 5x 5x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:50:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:02.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT 5x Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:06.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:11.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:15.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[1] is 1. This set of entry boxes represent the simplified form of [5]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:24.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:36.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[1] is 1. This set of entry boxes represent the simplified form of [5]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:44.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:50.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT 5x Above is the simplified form of the expression 5x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:55.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:51:56.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5 strategic 2 NEXT_HINT -1x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:00.0 HINT HINT ES_02 ES_02-10 EG44 -1x = 5 strategic 3 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x = 5 strategic 4 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:06.0 HINT HINT ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:06.0 HINT HINT ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 2 NEXT_HINT Type in -1x/-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 3 BUG typein -1x/1 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 4 OK typein 1x/1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:22.0 HINT HINT ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 5 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:23.0 HINT HINT ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 6 NEXT_HINT Type in 5/-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1x/-1 = 5/-1 strategic 7 OK typein 5/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:29.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 5/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:30.0 HINT HINT ES_02 ES_02-10 EG44 1x/1 = 5/-1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x/1 = 5/-1 strategic 3 OK rf 1x/1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:37.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT Because there are no constant factors in the numerator of x/1, you must double-click in order to enter a 1. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:44.0 HINT HINT ES_02 ES_02-10 EG44 x = 5/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:47.0 HINT HINT ES_02 ES_02-10 EG44 x = 5/-1 strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:50.0 HINT HINT ES_02 ES_02-10 EG44 x = 5/-1 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = 5/-1 strategic 4 OK rf 5/-1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:55.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT Above is the simplified form of the expression 5/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK -5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:52:59.0 HINT HINT ES_02 ES_02-10 EG44 x = -5 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:00.0 HINT HINT ES_02 ES_02-10 EG44 x = -5 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:05.0 HINT HINT ES_02 ES_02-10 EG44 -10/x = 9 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:05.0 HINT HINT ES_02 ES_02-10 EG44 -10/x = 9 strategic 2 NEXT_HINT -10/x is -10 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:09.0 HINT HINT ES_02 ES_02-10 EG44 -10/x = 9 strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x = 9 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:16.0 HINT HINT ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:17.0 HINT HINT ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 2 NEXT_HINT Type in -10/x*x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 3 OK typein -10/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:26.0 HINT HINT ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:28.0 HINT HINT ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 5 NEXT_HINT Type in 9x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 6 OK typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:33.0 HINT HINT ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:33.0 HINT HINT ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x*x = 9x strategic 9 OK mt -10/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:38.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -10x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:43.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:53:49.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -10x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:02.0 HINT HINT ES_02 ES_02-10 EG44 -10x/x = 9x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:03.0 HINT HINT ES_02 ES_02-10 EG44 -10x/x = 9x strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x/x = 9x strategic 3 OK rf -10x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:07.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:30.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:38.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:46.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-10]/[1] is 1. This set of entry boxes represent the simplified form of [-10]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:54:58.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:04.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-10]/[1] is 1. This set of entry boxes represent the simplified form of [-10]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:12.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:23.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression -10x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -10 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:30.0 HINT HINT ES_02 ES_02-10 EG44 -10 = 9x strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:30.0 HINT HINT ES_02 ES_02-10 EG44 -10 = 9x strategic 2 NEXT_HINT 9x is 9 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:34.0 HINT HINT ES_02 ES_02-10 EG44 -10 = 9x strategic 3 NEXT_HINT Divide both sides by 9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = 9x strategic 4 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:45.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:46.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 2 NEXT_HINT Type in -10/9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 3 OK typein -10/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:57.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:55:57.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 5 NEXT_HINT Type in 9x/9 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 6 OK typein 9x/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:04.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:04.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/9 = 9x/9 strategic 9 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:10.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT From the original equation at the top, select 9 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session29 2006-01-20 08:56:18.0 HINT HINT ES_02 ES_02-10 EG44 -10/9 = x strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:14:53.0 HINT HINT ES_02 ES_02-10 EG44 -5 = 10/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:14:58.0 HINT HINT ES_02 ES_02-10 EG44 -5 = 10/y strategic 2 NEXT_HINT 10/y is 10 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:03.0 HINT HINT ES_02 ES_02-10 EG44 -5 = 10/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = 10/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:14.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:15.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 2 NEXT_HINT Type in -5y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 3 OK typein -5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:20.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:20.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 5 NEXT_HINT Type in 10/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 6 OK typein 10/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:25.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:26.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = 10/y*y strategic 9 OK mt 10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:33.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK 10y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:39.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK y1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:44.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:15:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 10y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:06.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10y/y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:07.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10y/y strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = 10y/y strategic 3 OK rf 10y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:15.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 10y 10y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:43.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:49.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:16:56.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [10]/[1] is 1. This set of entry boxes represent the simplified form of [10]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:04.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:15.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [10]/[1] is 1. This set of entry boxes represent the simplified form of [10]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:25.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 10y 10y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR 10y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:34.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT 10y Above is the simplified form of the expression 10y/y. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 10 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:44.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:45.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10 strategic 2 NEXT_HINT -5y is -5 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:49.0 HINT HINT ES_02 ES_02-10 EG44 -5y = 10 strategic 3 NEXT_HINT Divide both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = 10 strategic 4 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:59.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:17:59.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 2 NEXT_HINT Type in -5y/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 3 OK typein -5y/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:11.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:12.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 5 NEXT_HINT Type in 10/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 6 OK typein 10/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:16.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:17.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = 10/-5 strategic 9 OK rf 10/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:29.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 5 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:42.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [10]/[-5] is -5. This set of entry boxes represent the simplified form of [10]/[-5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 ERROR 10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:18:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 6 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:01.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [10]/[-5] is -5. This set of entry boxes represent the simplified form of [10]/[-5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:11.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 8 INITIAL_HINT Above is the simplified form of the expression 10/-5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 OK -2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:16.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:17.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -2 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -2 strategic 3 OK rf -5y/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:22.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT From the original equation at the top, select -5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 BUG 5 5
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 BUG 5y 5y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 BUG -5 -5
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 BUG -5y -5y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 14 BUG -5y -5y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:48.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 15 INITIAL_HINT -5y Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:51.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 7 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 8 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:19:56.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:04.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 7 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[-5] is -5. This set of entry boxes represent the simplified form of [-5]/[-5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 8 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:08.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-Y strategic 4 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 5 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 6 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:19.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 5 INITIAL_HINT The common factor between the numerator and denominator of [-5]/[-5] is -5. This set of entry boxes represent the simplified form of [-5]/[-5]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 6 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 7 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:34.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-Y strategic 4 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:42.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 16 INITIAL_HINT -5y Above is the simplified form of the expression -5y/-5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 17 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:54.0 HINT HINT ES_02 ES_02-10 EG44 -10 = -8/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:20:57.0 HINT HINT ES_02 ES_02-10 EG44 -10 = -8/x strategic 2 NEXT_HINT -8/x is -8 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:01.0 HINT HINT ES_02 ES_02-10 EG44 -10 = -8/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -8/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:12.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:16.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 2 NEXT_HINT Type in -10x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 3 OK typein -10x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:20.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:20.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 5 NEXT_HINT Type in -8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 6 ERROR typein -8x/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:31.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:32.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 8 NEXT_HINT Type in -8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 9 OK typein -8/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:45.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:46.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 11 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = -8/x*x strategic 12 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:49.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:21:55.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:01.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -8x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:08.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:09.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = -8x/x strategic 3 OK rf -8x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:13.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:27.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 ERROR -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:38.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:43.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:22:51.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:06.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:13.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:22.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression -8x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:28.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:29.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8 strategic 2 NEXT_HINT -10x is -10 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:33.0 HINT HINT ES_02 ES_02-10 EG44 -10x = -8 strategic 3 NEXT_HINT Divide both sides by -10. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x = -8 strategic 4 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:41.0 HINT HINT ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:42.0 HINT HINT ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 2 NEXT_HINT Type in -10x/-10 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 3 OK typein -10x/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:52.0 HINT HINT ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:53.0 HINT HINT ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 5 NEXT_HINT Type in -8/-10 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 6 OK typein -8/-10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:23:58.0 HINT HINT ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:00.0 HINT HINT ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10x/-10 = -8/-10 strategic 9 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:06.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select -10 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG 10x 10x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG -10x -10x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:23.0 HINT HINT ES_02 ES_02-10 EG44 x = -8/-10 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:24.0 HINT HINT ES_02 ES_02-10 EG44 x = -8/-10 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -8/-10 strategic 3 OK rf -8/-10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:28.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 ERROR -10 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:32.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 8 INITIAL_HINT -10 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 9 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:41.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-10] is -2. This set of entry boxes represent the simplified form of [-8]/[-10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 ERROR -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 6 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:24:56.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-10] is -2. This set of entry boxes represent the simplified form of [-8]/[-10]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:07.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 8 INITIAL_HINT Above is the simplified form of the expression -8/-10. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 OK 4/5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:17.0 HINT HINT ES_02 ES_02-10 EG44 x = 4/5 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:21.0 HINT HINT ES_02 ES_02-10 EG44 -7/y = 3 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:22.0 HINT HINT ES_02 ES_02-10 EG44 -7/y = 3 strategic 2 NEXT_HINT -7/y is -7 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:26.0 HINT HINT ES_02 ES_02-10 EG44 -7/y = 3 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y = 3 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:32.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:33.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 2 NEXT_HINT Type in -7/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 3 ERROR typein -7/y 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:47.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:48.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 5 NEXT_HINT Type in -7/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 6 OK typein -7/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:58.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:25:59.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 8 NEXT_HINT Type in 3y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 9 OK typein 3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:04.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:05.0 HINT HINT ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 11 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/y*y = 3y strategic 12 OK mt -7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:10.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -7y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:15.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK y1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:19.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -7y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:31.0 HINT HINT ES_02 ES_02-10 EG44 -7y/y = 3y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:32.0 HINT HINT ES_02 ES_02-10 EG44 -7y/y = 3y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/y = 3y strategic 3 OK rf -7y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:36.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG -7y -7y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:57.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 3y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:26:58.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 3y strategic 2 NEXT_HINT 3y is 3 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:01.0 HINT HINT ES_02 ES_02-10 EG44 -7 = 3y strategic 3 NEXT_HINT Divide both sides by 3. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 3y strategic 4 ERROR divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:10.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:11.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 2 NEXT_HINT Type in -7/-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 3 BUG typein -7/3 You are dividing a negative by a negative. The result should be positive. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:21.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:22.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 5 NEXT_HINT Type in -7/-3 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 6 OK typein -7/-3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:28.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:29.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 8 NEXT_HINT Type in 3y/-3 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 9 OK typein 3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:37.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:38.0 HINT HINT ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 11 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/-3 = 3y/-3 strategic 12 OK rf -7/-3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:44.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT Above is the simplified form of the expression -7/-3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK 7/3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:52.0 HINT HINT ES_02 ES_02-10 EG44 7/3 = 3y/-3 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:53.0 HINT HINT ES_02 ES_02-10 EG44 7/3 = 3y/-3 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/3 = 3y/-3 strategic 3 OK rf 3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:27:57.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 BUG 3y 3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 BUG -3y -3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 BUG 1y 1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 BUG 1y 1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:23.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 14 INITIAL_HINT 1y Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:27.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:36.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the y factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:40.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [3]/[-3] is -3. This set of entry boxes represent the simplified form of [3]/[-3]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:28:57.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:12.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [3]/[-3] is -3. This set of entry boxes represent the simplified form of [3]/[-3]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:24.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:43.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 15 INITIAL_HINT 1y Above is the simplified form of the expression 3y/-3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 16 OK -y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:49.0 HINT HINT ES_02 ES_02-10 EG44 7/3 = -y strategic 1 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:50.0 HINT HINT ES_02 ES_02-10 EG44 7/3 = -y strategic 2 NEXT_HINT -y is -1 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:29:53.0 HINT HINT ES_02 ES_02-10 EG44 7/3 = -y strategic 3 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/3 = -y strategic 4 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:04.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 1 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:05.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 2 NEXT_HINT Type in (7/3)/-1 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 3 OK typein 7/3/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:16.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 4 INITIAL_HINT default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:17.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 5 NEXT_HINT Type in -y/-1 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 6 OK typein -y/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:24.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 7 INITIAL_HINT default_condition [SkillRule: invert-mult; {ivm}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:25.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 8 NEXT_HINT Dividing by a fraction is the same as multiplying by its inverse. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:28.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 9 NEXT_HINT Invert and multiply to convert the division to multiplication. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 10 ERROR mt (7/3)/-1 = -y/-1 strategic default_condition [SkillRule: invert-mult; {ivm}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (7/3)/-1 = -y/-1 strategic 11 OK ivm (7/3)/-1 = -y/-1 strategic default_condition [SkillRule: invert-mult; {ivm}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:43.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)*(1/-1) = -y/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:44.0 HINT HINT ES_02 ES_02-10 EG44 (7/3)*(1/-1) = -y/-1 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (7/3)*(1/-1) = -y/-1 strategic 3 OK mt (7/3)*(1/-1) default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:47.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 OK 7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:53.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 3 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 4 ERROR 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:30:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 5 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:01.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 17 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 18 OK 7/-3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:09.0 HINT HINT ES_02 ES_02-10 EG44 7/-3 = -y/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:10.0 HINT HINT ES_02 ES_02-10 EG44 7/-3 = -y/-1 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-3 = -y/-1 strategic 3 OK rf 7/-3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:16.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 19 INITIAL_HINT Above is the simplified form of the expression 7/-3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 20 OK -7/3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:22.0 HINT HINT ES_02 ES_02-10 EG44 -7/3 = -y/-1 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:22.0 HINT HINT ES_02 ES_02-10 EG44 -7/3 = -y/-1 strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:26.0 HINT HINT ES_02 ES_02-10 EG44 -7/3 = -y/-1 strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/3 = -y/-1 strategic 4 OK rf -y/-1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:31.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 21 INITIAL_HINT Above is the simplified form of the expression -y/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 22 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:35.0 HINT HINT ES_02 ES_02-10 EG44 -7/3 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:36.0 HINT HINT ES_02 ES_02-10 EG44 -7/3 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:41.0 HINT HINT ES_02 ES_02-10 EG44 -8 = -8/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:42.0 HINT HINT ES_02 ES_02-10 EG44 -8 = -8/x strategic 2 NEXT_HINT -8/x is -8 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:45.0 HINT HINT ES_02 ES_02-10 EG44 -8 = -8/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -8/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:52.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:53.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 2 NEXT_HINT Type in -8x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 3 OK typein -8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:56.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:31:57.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 5 NEXT_HINT Type in -8/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 6 OK typein -8/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:04.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:05.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8/x*x strategic 9 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:08.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -8x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:13.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:17.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -8x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:24.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:24.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8x/x strategic 3 OK rf -8x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:29.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:41.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:47.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:51.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:32:58.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:07.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:20.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:30.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:38.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression -8x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -8 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:44.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:45.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8 strategic 2 NEXT_HINT -8x is -8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:49.0 HINT HINT ES_02 ES_02-10 EG44 -8x = -8 strategic 3 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = -8 strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:57.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:33:58.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 2 NEXT_HINT Type in -8x/-8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 3 OK typein -8x/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:05.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:05.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 5 NEXT_HINT Type in -8/-8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 6 OK typein -8/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:12.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:12.0 HINT HINT ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = -8/-8 strategic 9 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:18.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG -8 -8
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:28.0 HINT HINT ES_02 ES_02-10 EG44 x = -8/-8 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:28.0 HINT HINT ES_02 ES_02-10 EG44 x = -8/-8 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = -8/-8 strategic 3 OK rf -8/-8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:33.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 OK -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:42.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-8]/[-8] is -8. This set of entry boxes represent the simplified form of [-8]/[-8]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 ERROR -8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:34:57.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 7 INITIAL_HINT Above is the simplified form of the expression -8/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:03.0 HINT HINT ES_02 ES_02-10 EG44 x = 1 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 x = 1 strategic 2 BUG clt x = 1 strategic You already solved the equation. x is 1. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:15.0 HINT HINT ES_02 ES_02-10 EG44 -5 = -3/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:16.0 HINT HINT ES_02 ES_02-10 EG44 -5 = -3/y strategic 2 NEXT_HINT -3/y is -3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:19.0 HINT HINT ES_02 ES_02-10 EG44 -5 = -3/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = -3/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:31.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:32.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 2 NEXT_HINT Type in -5y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 3 OK typein -5y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:36.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:37.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 5 NEXT_HINT Type in -3/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 6 ERROR typein -3/4 y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:49.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:50.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 8 NEXT_HINT Type in -3/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 9 OK typein -3/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:55.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:56.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 11 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:35:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3/y*y strategic 12 OK mt -3/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:00.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:05.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:12.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -3y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:21.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3y/y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:22.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3y/y strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3y/y strategic 3 OK rf -3y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:26.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG -1y -1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG -y -Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG -1 -1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 BUG -1 -1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:51.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 8 INITIAL_HINT -1 Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:54.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:36:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:00.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:05.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-3]/[1] is 1. This set of entry boxes represent the simplified form of [-3]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:16.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:30.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-3]/[1] is 1. This set of entry boxes represent the simplified form of [-3]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:38.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:46.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT -1 Above is the simplified form of the expression -3y/y. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK -3 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:57.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:37:58.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3 strategic 2 NEXT_HINT -5y is -5 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:04.0 HINT HINT ES_02 ES_02-10 EG44 -5y = -3 strategic 3 NEXT_HINT Divide both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y = -3 strategic 4 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:14.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:15.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 2 NEXT_HINT Type in -5y/-5 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 3 OK typein -5y/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:30.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:31.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 5 NEXT_HINT Type in -3/-5 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 6 OK typein -3/-5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:39.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:39.0 HINT HINT ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/-5 = -3/-5 strategic 9 OK rf -5y/-5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:45.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT From the original equation at the top, select -5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 BUG -1y -1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:56.0 HINT HINT ES_02 ES_02-10 EG44 y = -3/-5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:38:58.0 HINT HINT ES_02 ES_02-10 EG44 y = -3/-5 strategic 2 NEXT_HINT Move the negative sign out of the denominator. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 y = -3/-5 strategic 3 BUG ivm y = -3/-5 strategic You already solved the equation. y is -3/-5. BUG default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:08.0 HINT HINT ES_02 ES_02-10 EG44 4 = 5/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:09.0 HINT HINT ES_02 ES_02-10 EG44 4 = 5/x strategic 2 NEXT_HINT 5/x is 5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:13.0 HINT HINT ES_02 ES_02-10 EG44 4 = 5/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = 5/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:19.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:20.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5/x*x strategic 2 NEXT_HINT Type in 4x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = 5/x*x strategic 3 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:24.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:25.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5/x*x strategic 5 NEXT_HINT Type in 5/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = 5/x*x strategic 6 OK typein 5/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:34.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5/x*x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:35.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5/x*x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = 5/x*x strategic 9 OK mt 5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:39.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:44.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:51.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 5x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:58.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:39:59.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = 5x/x strategic 3 OK rf 5x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:04.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:12.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:13.0 HINT HINT ES_02 ES_02-10 EG44 4x = 5 strategic 2 NEXT_HINT 4x is 4 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x = 5 strategic 3 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 1 ERROR typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 2 BUG typein 5 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:31.0 HINT HINT ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:32.0 HINT HINT ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 4 NEXT_HINT Type in 4x/4 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 5 OK typein 4x/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:48.0 HINT HINT ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:48.0 HINT HINT ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 7 NEXT_HINT Type in 5/4 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 8 OK typein 5/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:53.0 HINT HINT ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 9 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:56.0 HINT HINT ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 10 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:40:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/4 = 5/4 strategic 11 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:01.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 4 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 4 4
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG 4x 4x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:16.0 HINT HINT ES_02 ES_02-10 EG44 8 = -6/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:17.0 HINT HINT ES_02 ES_02-10 EG44 8 = -6/x strategic 2 NEXT_HINT -6/x is -6 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:21.0 HINT HINT ES_02 ES_02-10 EG44 8 = -6/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = -6/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:34.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:34.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 2 NEXT_HINT Type in 8x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -6/x*x strategic 3 OK typein 8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:39.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:40.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 5 NEXT_HINT Type in -6/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -6/x*x strategic 6 ERROR typein -6x/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:50.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 7 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:51.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 8 NEXT_HINT Type in -6/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -6/x*x strategic 9 OK typein -6/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:57.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 10 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:41:58.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6/x*x strategic 11 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -6/x*x strategic 12 OK mt -6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:01.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:07.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:13.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -6x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:25.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:29.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6x/x strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:30.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6x/x strategic 3 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -6x/x strategic 4 OK rf -6x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:34.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG -1x -1x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 1 1
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG x X
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 BUG 6 6
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:49.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 7 INITIAL_HINT 6 Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:42:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:01.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 8 INITIAL_HINT 6 Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:04.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:09.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:17.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-6]/[1] is 1. This set of entry boxes represent the simplified form of [-6]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:28.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:38.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-6]/[1] is 1. This set of entry boxes represent the simplified form of [-6]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:49.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:43:57.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT 6 Above is the simplified form of the expression -6x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK -6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:04.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:05.0 HINT HINT ES_02 ES_02-10 EG44 8x = -6 strategic 2 NEXT_HINT 8x is 8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -6 strategic 3 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:10.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:11.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 2 NEXT_HINT Type in 8x/8 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 3 OK typein 8x/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:17.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:18.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 5 NEXT_HINT Type in -6/8 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 6 OK typein -6/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:22.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:23.0 HINT HINT ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -6/8 strategic 9 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:32.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT From the original equation at the top, select 8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 BUG 8x 8x
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 BUG 8 8
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 OK 1x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:54.0 HINT HINT ES_02 ES_02-10 EG44 2 = 7/y strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:55.0 HINT HINT ES_02 ES_02-10 EG44 2 = 7/y strategic 2 NEXT_HINT 7/y is 7 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:44:59.0 HINT HINT ES_02 ES_02-10 EG44 2 = 7/y strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = 7/y strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:04.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7/y*y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:05.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7/y*y strategic 2 NEXT_HINT Type in 2y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = 7/y*y strategic 3 OK typein 2y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:10.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7/y*y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:11.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7/y*y strategic 5 NEXT_HINT Type in 7/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = 7/y*y strategic 6 OK typein 7/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:24.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7/y*y strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:25.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7/y*y strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = 7/y*y strategic 9 OK mt 7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:29.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK 7y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:34.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:38.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 7y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:45.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7y/y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:45.0 HINT HINT ES_02 ES_02-10 EG44 2y = 7y/y strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = 7y/y strategic 3 OK rf 7y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:50.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 1y 1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:45:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK 7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y = 7 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 1 OK typein 2y/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 2 OK typein 7/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 3 ERROR clt 2y/2 = 7/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 4 ERROR mt 2y/2 = 7/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:29.0 HINT HINT ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 5 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:29.0 HINT HINT ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 6 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2y/2 = 7/2 strategic 7 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:42.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select 2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:49.0 HINT HINT ES_02 ES_02-10 EG44 y = 7/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:50.0 HINT HINT ES_02 ES_02-10 EG44 y = 7/2 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:56.0 HINT HINT ES_02 ES_02-10 EG44 -2/y = 7 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:46:56.0 HINT HINT ES_02 ES_02-10 EG44 -2/y = 7 strategic 2 NEXT_HINT -2/y is -2 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:00.0 HINT HINT ES_02 ES_02-10 EG44 -2/y = 7 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/y = 7 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:14.0 HINT HINT ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:14.0 HINT HINT ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 2 NEXT_HINT Type in -2/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 3 OK typein -2/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:24.0 HINT HINT ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:24.0 HINT HINT ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 5 NEXT_HINT Type in 7y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 6 OK typein 7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:31.0 HINT HINT ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:32.0 HINT HINT ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/y*y = 7y strategic 9 OK mt -2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:36.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -2y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:42.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:47:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:08.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK -2y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:19.0 HINT HINT ES_02 ES_02-10 EG44 -2y/y = 7y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:20.0 HINT HINT ES_02 ES_02-10 EG44 -2y/y = 7y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2y/y = 7y strategic 3 OK rf -2y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:27.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -2 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:45.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:48:54.0 HINT HINT ES_02 ES_02-10 EG44 row2Y strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 4 OK y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:11.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-2]/[1] is 1. This set of entry boxes represent the simplified form of [-2]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:23.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 ERROR 0 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:35.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-2]/[1] is 1. This set of entry boxes represent the simplified form of [-2]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:45.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-Y strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [y]/[y] is y. This set of entry boxes represent the simplified form of [y]/[y]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:56.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 6 INITIAL_HINT Above is the simplified form of the expression -2y/y. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:49:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK -2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:50:00.0 HINT HINT ES_02 ES_02-10 EG44 -2 = 7y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:50:01.0 HINT HINT ES_02 ES_02-10 EG44 -2 = 7y strategic 2 NEXT_HINT 7y is 7 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:50:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = 7y strategic 3 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:50:11.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:50:12.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 2 NEXT_HINT Type in -2/7 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 3 OK typein -2/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:03.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:06.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 5 NEXT_HINT Type in 7y/7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 6 OK typein 7y/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:15.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:16.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 8 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/7 = 7y/7 strategic 9 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:25.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 4 INITIAL_HINT From the original equation at the top, select 7 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK 1y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:31.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = y strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:33.0 HINT HINT ES_02 ES_02-10 EG44 -2/7 = y strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:38.0 HINT HINT ES_02 ES_02-10 EG44 -3/y = -6 strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:40.0 HINT HINT ES_02 ES_02-10 EG44 -3/y = -6 strategic 2 NEXT_HINT -3/y is -3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:53:44.0 HINT HINT ES_02 ES_02-10 EG44 -3/y = -6 strategic 3 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y = -6 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:26.0 HINT HINT ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:27.0 HINT HINT ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 2 NEXT_HINT Type in -3/y*y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 3 OK typein -3/y y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:42.0 HINT HINT ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:42.0 HINT HINT ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 5 NEXT_HINT Type in -6y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 6 OK typein -6y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:49.0 HINT HINT ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:49.0 HINT HINT ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = -6y strategic 9 OK mt -3/y*y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:53.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -3y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:54:59.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:04.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -3y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:14.0 HINT HINT ES_02 ES_02-10 EG44 -3y/y = -6y strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:14.0 HINT HINT ES_02 ES_02-10 EG44 -3y/y = -6y strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/y = -6y strategic 3 OK rf -3y/y default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:20.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG -1y -1y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 BUG 3y 3y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 BUG y Y
Perhaps you should fill in the answers above. BUG default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session30 2006-01-25 08:55:36.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT From the original equation at the top, select -3 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:39.0 HINT HINT ES_02 ES_02-10 EG44 -6 = 5/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:40.0 HINT HINT ES_02 ES_02-10 EG44 -6 = 5/x strategic 2 NEXT_HINT 5/x is 5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:44.0 HINT HINT ES_02 ES_02-10 EG44 -6 = 5/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6 = 5/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:53.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:53.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 2 NEXT_HINT Type in -6x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:13:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 3 OK typein -6x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:02.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:03.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 5 NEXT_HINT Type in 5/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 6 OK typein 5/x x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:14.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:14.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = 5/x*x strategic 9 OK mt 5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:27.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK 5x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:35.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK 1x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:42.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 1 INITIAL_HINT Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:14:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 5x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:00.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5x/x strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:00.0 HINT HINT ES_02 ES_02-10 EG44 -6x = 5x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = 5x/x strategic 3 OK rf 5x/x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:06.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select 5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:18.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 2 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 ERROR 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:37.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 1 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:47.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[1] is 1. This set of entry boxes represent the simplified form of [5]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:15:59.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [X]/[X] is X. This set of entry boxes represent the simplified form of [X]/[X]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:11.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [5]/[1] is 1. This set of entry boxes represent the simplified form of [5]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:22.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [x]/[x] is x. This set of entry boxes represent the simplified form of [x]/[x]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:33.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Above is the simplified form of the expression 5x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK 5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x = 5 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:47.0 HINT HINT ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:48.0 HINT HINT ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 2 NEXT_HINT Type in -6x/-6 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:16:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 3 OK typein -6x/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:00.0 HINT HINT ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:01.0 HINT HINT ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 5 NEXT_HINT Type in 5/-6 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 6 OK typein 5/-6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:05.0 HINT HINT ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:06.0 HINT HINT ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 8 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6x/-6 = 5/-6 strategic 9 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:13.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 5 INITIAL_HINT From the original equation at the top, select -6 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:22.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 6 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator in the group above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 7 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:39.0 HINT HINT ES_02 ES_02-10 EG44 row2X strategic 3 INITIAL_HINT You need to find the most appropriate common factor between the numerator and denominator above in the x factors. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:17:52.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-6]/[-6] is -6. This set of entry boxes represent the simplified form of [-6]/[-6]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 ERROR -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:08.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-X strategic 4 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 5 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 6 OK x default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:20.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [-6]/[-6] is -6. This set of entry boxes represent the simplified form of [-6]/[-6]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 ERROR -6 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:31.0 HINT HINT ES_02 ES_02-10 EG44 row3-D-X strategic 3 INITIAL_HINT The common factor between the numerator and denominator of [x]/[1] is 1. This set of entry boxes represent the simplified form of [x]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:39.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT Above is the simplified form of the expression -6x/-6. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 LM96hW22T2 session31 2006-01-27 08:18:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 M7hLaVJGvX session10 2005-10-21 08:47:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 BUG Equipment Equipment
Although equipment is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:47:25.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 OK Time default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:47:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK Hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:47:30.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG Money Money
You're close. How about total cost of scuba lessons? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:47:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 OK Total cost of scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:47:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:49:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:49:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 855.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:49:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:50:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C2 1 OK 1365.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:50:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 7 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 ERROR 7 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:21.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 INITIAL_HINT 7 Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:25.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 NEXT_HINT How many hours does it take to get total cost of scuba lessons to be 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:29.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT If you were given time spent taking lessons (the input) and you wanted to find total cost of scuba lessons (the output), you would perform one or more operations on time spent taking lessons. Since you are given total cost of scuba lessons, you need to reverse the process (or work backwards). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:32.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 ERROR 7 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK H default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:52:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50H+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:52:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 ERROR 7 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:54:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 ERROR 7 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:54:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:54:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2,385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:56:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 ERROR 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session10 2005-10-21 08:56:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:17:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 ERROR 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:23:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:24:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:25:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 1 BUG Square yards Square yards
SQUARE YARDS is a unit used to measure something in this problem. Try using a more descriptive phrase. What is measured in square yards? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:25:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 2 ERROR Yars default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:25:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 3 BUG Yards Yards
Try the amount of carpet. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:25:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 4 OK the amount of carpet default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 1 BUG yards YARDS
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:25:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 2 OK square yards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:26:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 1 BUG Money Money
You're close. How about the cost of the carpet? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 2 OK cost of the carpet default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:26:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:26:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 1 BUG 209.30 209.30
You entered 209.30 in the wrong row. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:27:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 1 BUG 14 14
You entered 14 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:27:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C1 1 OK 14 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C2 1 OK 209.30 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:28:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 1 OK 10.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:28:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C2 1 OK 156.975 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:30:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C1 1 OK 50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:30:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C2 1 OK 747.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:31:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 1 BUG 1,196 1,196
You entered 1,196 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:31:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 1 OK 1,196 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 2 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:31:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 2 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:32:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 2 OK 14.95D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 1 BUG Long distance Long distance
Try the amount spent on long distance. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:33:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 2 OK the amount spent on long distance default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:33:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 1 OK Points earned default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:33:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:34:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 BUG 50 50
You entered 50.00 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:34:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:35:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C2 1 OK 5250 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C2 1 BUG 1650 1650
Total number of travel points increases by 1650 when the amount spent on long distance is 330, but remember that it starts at 5000 points. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:36:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C2 2 ERROR 5330 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 1 OK 330 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C2 3 ERROR 5,330 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C2 4 INITIAL_HINT 5,330 You are given a value for the amount spent on long distance. Find total number of travel points. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:51.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C2 5 NEXT_HINT You are given a value for the amount spent on long distance. Find total number of travel points by calculating 5 times the amount spent on long distance plus 5000. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:54.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 1 INITIAL_HINT Is the number given in this question an input or an output value? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:56.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 2 NEXT_HINT How many dollars does it take to get total number of travel points to be 46000 points? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:37:59.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 3 NEXT_HINT If you were given the amount spent on long distance (the input) and you wanted to find total number of travel points (the output), you would perform one or more operations on the amount spent on long distance. Since you are given total number of travel points, you need to reverse the process (or work backwards). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:02.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 4 NEXT_HINT When the output is given and you want to find the input, knowing the expression is useful. Try filling in the expression row first and then come back to this cell. If you still need help after that, the hints for this cell will support this new strategy. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 2 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 BUG D+5000 D+5000
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 2 BUG D+5000 D+5000
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 3 BUG D+5000 D+5000
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:25.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 4 INITIAL_HINT D+5000 Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:27.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 5 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:30.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:34.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 7 NEXT_HINT Write an expression that means the same thing as 5000 plus 5 times the amount spent on long distance. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:40.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 8 NEXT_HINT Enter 5D + 5000 HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:38:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 9 OK 5D+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:39:56.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 5 INITIAL_HINT 46000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 46000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:39:58.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 6 NEXT_HINT You know that the expression 5D + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5D + 5000 output the given value of 46000 points? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:40:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 7 NEXT_HINT Since the general expression for total number of travel points is 5D + 5000 and since total number of travel points in this question is 46000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:41:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 1 OK 46000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:43:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 1 INITIAL_HINT 46000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 46000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:44:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 2 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:44:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C2 1 OK 27000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:44:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 1 ERROR 440 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 2 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:45:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 1 BUG Amount of money
You're close. How about the cost of construction? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:45:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 2 OK the cost of construction default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:45:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:46:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C1 1 BUG Estimation of feet Estimation of feet
Try the area to be constructed. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:46:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C1 2 OK the area to be constructed default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:46:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C1 1 OK Square Feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C1 1 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:47:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 2 OK 46.50D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C2 1 OK 69750 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:47:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C1 1 OK 1500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C2 1 ERROR 79747.50 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:49:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 1 OK 215 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:49:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C2 1 OK 162,750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:49:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C1 1 OK 3500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:50:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C2 1 OK 97138.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:50:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C1 1 OK 2089 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C1 1 BUG Speed of jet Speed of jet
Although speed is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C1 2 BUG Speed Speed
Although speed is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C2 1 BUG Miles
MILES is a unit used to measure something in this problem. Try using a more descriptive phrase. What is measured in miles? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C2 2 OK Miles the jet has flown default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C2 1 OK Miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C1 3 BUG Speed of the jet Speed of the jet
Although speed is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C1 4 INITIAL_HINT Speed of the jet One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C1 5 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R1C1 6 NEXT_HINT Try typing in the phrase "the time". HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:51:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C1 7 OK The time default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C1 1 OK Hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C1 1 BUG 2.5 2.5
You entered 2.5 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 1 OK 2.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C1 2 OK H default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 1 ERROR 250H default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 2 ERROR 250H default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 3 INITIAL_HINT 250H Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:52:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 4 NEXT_HINT First consider the initial value of the total distance it has flown. Next consider how the total distance it has flown will change for each hour. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:53:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 5 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance it has flown plus the change in the total distance it has flown for each hour times the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:53:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 6 NEXT_HINT Write an expression that means the same thing as 250 plus 1200 times the time. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:53:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 7 ERROR 250+1200* default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:53:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R3C2 8 INITIAL_HINT 250+1200* Write an expression that means the same thing as 250 plus 1200 times the time. HINT 4 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:53:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 9 BUG 250+1200*T 250+1200*T
You have the right expression, but you need to use H as your variable. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:53:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 10 OK 250+1200*H default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 1 BUG 15 15
15 is the the time in minutes, but we want to use hours. How many hours are in 15 minutes? BUG default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 2 ERROR .15 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 3 ERROR .15 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 4 ERROR .15 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 5 INITIAL_HINT .15 Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 6 NEXT_HINT You know that the time is 15 minutes. Convert 15 minutes to hours. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 7 NEXT_HINT There are 60 minutes in a hour. What is 15 minutes in hours? HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:54:50.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R5C1 8 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 15 minutes is 0.25 hours. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 9 OK .25 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session11 2005-10-26 08:55:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:19:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:19:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C2 1 OK 3500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 1 ERROR 16 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 2 ERROR 16 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 3 INITIAL_HINT 16 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 4 INITIAL_HINT 16 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 5 NEXT_HINT You know that the expression 1200H + 250 represents the total distance it has flown. What value of the time will make the general expression 1200H + 250 output the given value of 1750 miles? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 6 NEXT_HINT Since the general expression for the total distance it has flown is 1200H + 250 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 7 NEXT_HINT Solve the equation 1200H + 250 = 1750. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:22:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 8 ERROR 16 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:23:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 2 OK 1750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:24:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 1 INITIAL_HINT 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:24:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 2 NEXT_HINT You know that the expression 1200H + 250 represents the total distance it has flown. What value of the time will make the general expression 1200H + 250 output the given value of 3500 miles? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:24:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 3 NEXT_HINT Since the general expression for the total distance it has flown is 1200H + 250 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:24:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 4 NEXT_HINT Solve the equation 1200H + 250 = 3500. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:24:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 9 ERROR 3500 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:24:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 5 BUG 3500 3500
You entered 3,500 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:25:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R6C1 10 INITIAL_HINT 3500 Solve the equation 1200H + 250 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 11 BUG 1 1
1 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 12 OK 1.25 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 6 ERROR 2.10 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 7 BUG 2.5 2.5
You entered 2.5 in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 8 BUG 2.5 2.5
You entered 2.5 in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 9 BUG 2.5 2.5
You entered 2.5 in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 10 INITIAL_HINT 2.5 Solve the equation 1200H + 250 = 3500. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 11 ERROR 2.8 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 12 ERROR 2.8 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 13 ERROR 2.8 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 14 INITIAL_HINT 2.8 Solve the equation 1200H + 250 = 3500. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:27:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 15 NEXT_HINT Since the general expression for the total distance it has flown is 1200H + 250 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:28:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 16 NEXT_HINT Solve the equation 1200H + 250 = 3500. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 17 BUG 3 3
3 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 18 BUG 3 3
3 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 19 ERROR 3.25 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 20 ERROR 3.25 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 21 ERROR 3.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 22 INITIAL_HINT 3.5 Solve the equation 1200H + 250 = 3500. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 23 ERROR 3.10 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 24 ERROR 3.10 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 25 ERROR 3.50 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 26 ERROR 3.50 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 27 ERROR 3.50 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:29:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31A R7C1 28 INITIAL_HINT 3.50 Solve the equation 1200H + 250 = 3500. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:31:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 1 OK 1200H+250=3500 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:32:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200H+250 = 3500 strategic 1 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:32:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1200H = 3250 strategic 1 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:33:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A H = 65/24 strategic 1 BUG rf H = 65/24 strategic You already solved the equation. H is 65/24. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:33:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 29 OK 65/24 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:34:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 OK Students enrolled in algebra each year default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:34:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 BUG A or B's that have been earned A or B's that have been earned
Although earned is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:34:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 2 BUG Percent Percent
Although percent is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:34:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 3 BUG Last year Last year
Although year is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:34:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 4 INITIAL_HINT Last year One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:34:55.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R1C2 5 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:35:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 6 OK Students receiving an a or b default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:35:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK S default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:35:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 OK .12S default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:35:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 OK 175 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:36:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 ERROR 75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:36:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 2 ERROR 75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:36:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 3 BUG 12 12
You entered 12 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:36:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C2 1 OK 12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C2 1 OK 75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:15.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 4 INITIAL_HINT 12 12 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 12 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 5 NEXT_HINT You know that the expression 0.12S represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.12S output the given value of 12 students? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:22.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 6 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.12S and since the number of students earning an A or B in Algebra in this question is 12, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R6C1 7 NEXT_HINT Solve the equation 0.12S = 12. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 2 OK 0.12S=12 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 1 OK 0.12s=12 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:37:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 1 BUG divide 12 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 2 OK divide .12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 8 OK 100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 BUG 100 100
You entered 100 in the wrong row. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:31.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 2 INITIAL_HINT 100 75 students is the given output value in this question, because it depends on the number of students in algebra. What value of the number of students in algebra does it take to output 75 students? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 3 NEXT_HINT You know that the expression 0.12S represents the number of students earning an A or B in Algebra. What value of the number of students in algebra will make the general expression 0.12S output the given value of 75 students? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 4 NEXT_HINT Since the general expression for the number of students earning an A or B in Algebra is 0.12S and since the number of students earning an A or B in Algebra in this question is 75, set the two of them equal to find the number of students in algebra. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R7C1 5 NEXT_HINT Solve the equation 0.12S = 75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 4 OK 0.12S=75 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:38:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 3 OK 0.12s=75 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:39:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 75 strategic 1 OK divide .12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:39:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 6 OK 625 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 BUG Number of people at the party Number of people at the party
You are on the right track with persons, but you need a more specific label. Try people. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 2 OK People default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 BUG Money per person Money per person
A quantity name should refer to a thing, not the rate of change. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 2 BUG Money Money
You're close. How about the cost of the cake? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 3 OK the cost of the cake default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:40:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 BUG 24 24
You entered 24 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:41:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 2 OK P default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:41:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 OK .75P default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:41:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C2 1 OK 18 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:41:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:41:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:41:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:44:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 ERROR 48 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:44:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 2 ERROR 48.3 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:44:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 1 ERROR 36.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:44:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 2 ERROR 36.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:44:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 3 OK 36.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:45:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 3 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:45:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 1 BUG Employees Employees
Be more specific. Can you say more about EMPLOYEE? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:45:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 2 ERROR People default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:45:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 3 BUG Empoyees Empoyees
Be more specific. Can you say more about EMPLOYEE'S? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 4 BUG Empoyees Empoyees
Be more specific. Can you say more about EMPLOYEE'S? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 5 ERROR Number of Empoyees default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 6 ERROR Number of Empoyees default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C2 1 BUG Workers
Try the raise. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C2 2 OK the raise default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C2 1 BUG Money Money
The raise is a quantity of Money. What unit measuring Money can be used to measure the raise in this problem? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:46:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C2 2 ERROR 4% default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C2 3 ERROR Percent default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:02.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04 R2C2 4 INITIAL_HINT Percent You need to enter a unit for measuring the raise. HINT 1 default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:05.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04 R2C2 5 NEXT_HINT What would you say if you were measuring the raise? You would count one dollar, two dollars, three... HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C2 6 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 7 BUG Money Money
You're close. How about the current salary? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 8 OK the current salary default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C1 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C2 2 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C1 1 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:47:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C2 3 OK .04D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R4C2 1 OK 880 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:49:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R4C1 1 OK 22000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:49:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R5C1 1 OK 44000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:49:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C2 1 OK 6000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:49:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C1 1 OK 150,000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:49:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C2 1 OK 3,360 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C1 1 ERROR 8400 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C1 2 OK 84000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:50:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 BUG Pay Pay
You're close. How about the gross pay? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:50:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 2 OK the gross pay default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:50:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:50:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 BUG Salery Per month Salery Per month
A quantity name should refer to a thing, not the rate of change. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:51:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 2 OK Take home pay default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:51:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:51:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 BUG .65D .65D
You entered 0.65D in the wrong column. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 2 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:51:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 OK .65D default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:51:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:52:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 OK 40,000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:52:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 ERROR 500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:52:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 2 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:52:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 2575 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK Number of snowcones sold default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 BUG Money Money
You're close. How about the profit? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 2 OK the profit default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 2 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:54:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 3 BUG .50D+50 .50D+50
Does the profit start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:55:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 4 OK .50D-50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:55:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:55:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:55:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 BUG 550 550
Subtract the initial value, -50, from the total amount 300 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session12 2005-10-28 08:55:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 2 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 2 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:20.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 3 INITIAL_HINT 500 300 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 300 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 4 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 5 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 6 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:23:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 7 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:27:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK 0.5D-50=300 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:28:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5D-50 = 300 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:28:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5D = 350 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:28:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 8 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:28:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:29:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK 0.5D-50=153.5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:29:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5D-50 = 153.5 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:29:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5D = 203.5 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:29:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 1 BUG Money
You're close. How about the cost of a mobile telephone call? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 2 OK the cost of a mobile telephone call default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 1 OK Time on the phone default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:30:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:31:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 2 OK .50D+3.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:31:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C2 1 BUG 3 3
The cost of a mobile telephone call starts at 3.00. How much does it change when the length of the phone call is 3? BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:31:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C2 2 BUG 3.00 3.00
The cost of a mobile telephone call starts at 3.00. How much does it change when the length of the phone call is 3? BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:31:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C2 3 OK 4.50 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:31:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 1 OK 3.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:32:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C2 1 OK 10.50 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:32:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 1 OK 15 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:32:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C2 1 OK 7.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:32:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C2 1 OK 23.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:32:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 1 OK 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:33:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 1 OK 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK Cost of item default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 BUG Money saved Money saved
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 2 BUG Money saved Money saved
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 3 BUG Money saved Money saved
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 4 BUG Money saved Money saved
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 5 BUG Money saved Money saved
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 6 OK the total cost of the order default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR 10D+.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR 10D+.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:05.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 INITIAL_HINT 10D+.15 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:07.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 4 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:13.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 5 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 15%. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:17.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 6 NEXT_HINT Discounting each item in the order by 15%. means subtracting 0.15 times the cost of the items. So the discount is 0.15D. Since the discount is subtracted from the cost of the items, the total cost of the order will be D-0.15D. Don't forget the flat fee of $10 . HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:21.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 7 NEXT_HINT Write an expression that means the cost of the items minus 0.15 times the cost of the items plus the flat fee of $10 . HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 8 ERROR D-.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:35:49.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 9 NEXT_HINT Enter D-0.15D+10 (you could also enter 0.85D + 10, which means the same thing). HINT 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:36:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 10 OK D-.15D+10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:36:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:36:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:37:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:37:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 OK 180 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:38:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 1 OK D-0.15D+10=116.25 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 116.25 strategic 1 BUG add 10 Since 10 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 10 from both sides. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 116.25 strategic 2 ERROR add .15 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:39:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 116.25 strategic 3 ERROR divide .15 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:40:01.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 116.25 strategic 4 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:40:03.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 116.25 strategic 5 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:40:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 116.25 strategic 6 OK clt D-0.15D+10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:40:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85D+10 = 116.25 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D+11.76470588 = 136.76470588 strategic 1 ERROR clt D+11.76470588 = 136.76470588 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:00.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B D+11.76470588 = 136.76470588 strategic 2 INITIAL_HINT default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:03.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B D+11.76470588 = 136.76470588 strategic 3 NEXT_HINT 11.7647 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 11.7647 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:07.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B D+11.76470588 = 136.76470588 strategic 4 NEXT_HINT You can subtract 11.7647 from both sides of the equation to eliminate the constant value of 11.7647 (11.7647 - 11.7647 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D+11.76470588 = 136.76470588 strategic 5 OK subtract 11.7647 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 OK 125 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 2 OK D-0.15D+10=180 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:41:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D-0.15D+10 = 180 strategic 1 OK clt D-0.15D+10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:42:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85D+10 = 180 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B D+11.76470588 = 211.76470588 strategic 1 OK subtract 11.7647 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:43:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 BUG Time on the phone Time on the phone
Try the cellular phone time used next month. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:43:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 2 OK the cellular phone time used next month default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:43:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 OK Minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:44:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 ERROR Money default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 2 BUG Charge on the phone Charge on the phone
Although phone is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:44:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 3 BUG Monthly bill Monthly bill
Try balance on the next bill. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:44:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 4 OK the balance on the next bill default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:44:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK Dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:45:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:45:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 2 BUG D D
You entered D in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:45:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK D default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:45:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 3 OK .21D-5.26 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:45:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:46:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:47:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK 0.21D-5.26=15.74 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:47:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21D-5.26 = 15.74 strategic 1 ERROR clt 0.21D-5.26 = 15.74 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:47:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21D-5.26 = 15.74 strategic 2 ERROR add .21 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:47:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21D-5.26 = 15.74 strategic 3 OK divide .21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:47:57.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A D-25.04761905 = 74.95238095 strategic 1 INITIAL_HINT default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:47:58.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A D-25.04761905 = 74.95238095 strategic 2 NEXT_HINT -25.0476 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -25.0476 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:48:01.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A D-25.04761905 = 74.95238095 strategic 3 NEXT_HINT You can add 25.0476 to both sides of the equation to eliminate the constant value of -25.0476 (-25.0476 + 25.0476 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:48:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A D-25.04761905 = 74.95238095 strategic 4 OK add 25.0476 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:48:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:48:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK 0.21D-5.26=20 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21D-5.26 = 20 strategic 1 OK divide .21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:48:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A D-25.04761905 = 95.23809524 strategic 1 OK add 25.0476 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 1 OK Temperatrue default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:50:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 1 BUG Degrees DEGREES
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 2 OK Celcius default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 1 OK Time default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 BUG H H
You entered H in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK H default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 2 ERROR -33H-1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 3 ERROR -33H-1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:55.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 4 INITIAL_HINT -33H-1 Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:51:56.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 5 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:52:00.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:52:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 7 NEXT_HINT Write an expression that means the same thing as -33 minus 1.5 times the number of hours from now. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:52:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 8 NEXT_HINT Enter -33 - 1.5H HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:52:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 9 ERROR -33H-1.5H default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 10 OK -33-1.5H default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:53:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C2 1 BUG 8 8
You entered 8 in the wrong column. BUG default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:53:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:53:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session13 2005-11-02 08:53:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 OK -60 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:13:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 OK -33-1.5H=-60 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:13:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5H = -60 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:14:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 22+H = 40 strategic 1 ERROR clt 22+H = 40 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:14:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 22+H = 40 strategic 2 BUG add 22 Since 22 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 22 from both sides. BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:14:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 22+H = 40 strategic 3 BUG divide 22 You want to isolate H by removing 22 from the left side. 22 is added to H. What is the opposite of addition? BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:14:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 22+H = 40 strategic 4 BUG add 22 Since 22 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 22 from both sides. BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:14:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A 22+H = 40 strategic 5 OK subtract 22 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:15:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 1 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:15:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 2 OK -33-1.5H=-0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:15:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5H = -0 strategic 1 OK divide 1.5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:15:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -22-H = 0 strategic 1 OK add 22 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:15:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 BUG 22 22
Use parentheses. Type (0 - -33)/ -1.5 as (0 - -33)/ -1.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 1 ERROR clt -H = 22 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:07.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 2 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 3 BUG subtract 22 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 4 BUG divide 22 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:49.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H/22 = 1 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:51.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H/22 = 1 strategic 2 NEXT_HINT In -H/22, H is multiplied by -1/22. How do you change the -1/22 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:16:55.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H/22 = 1 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -22/1, which is the same as mulitplying by -22. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -H/22 = 1 strategic 4 OK multiply 22 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:11.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 5 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:13.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 6 NEXT_HINT -H is -1 times H. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 7 ERROR divide -22 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:30.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 8 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:31.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 9 NEXT_HINT -H is -1 times H. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:34.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 10 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -H = 22 strategic 11 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:17:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 2 OK -22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:18:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 BUG Feet below the surface Feet below the surface
Although below is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:18:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK Depth of the mine default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:18:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 OK Feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:18:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 2 OK Time default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:18:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 OK months default_condition Identifying units hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:18:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 BUG F F
You entered F in the wrong column. BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 OK F default_condition Define Variable hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 2 ERROR -1225F+1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 3 ERROR -1225F+1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 4 ERROR -1225F+1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:24.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 5 INITIAL_HINT -1225F+1 Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:27.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 6 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 7 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 8 NEXT_HINT Write an expression that means the same thing as -1225 minus 12 times the digging time. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 9 BUG -1225-12x -1225-12x
You have the right expression, but you need to use F as your variable. BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:19:57.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R3C2 10 NEXT_HINT Enter -1225 - 12F HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:20:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 11 OK -1225-12F default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:21:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C2 1 ERROR -1345 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:21:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 ERROR -1345 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 2 ERROR 10 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 3 OK 120 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 ERROR 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 2 ERROR -3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 3 ERROR -3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 4 BUG 36 36
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:22:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 5 OK -36 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:23:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 BUG -1225-12F=1705 -1225-12F=1705
Please check to make sure that -1225-12F=1705 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:23:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12F = 1705 strategic 1 ERROR divide 12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:23:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 BUG 1705 1705
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:23:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 OK -1705 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:25:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 ERROR 50 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:25:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 2 ERROR 50 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:25:09.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 3 INITIAL_HINT 50 -1705 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output -1705 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:25:11.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 4 NEXT_HINT You know that the expression -1225 - 12F represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12F output the given value of -1705 feet? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:25:43.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 5 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12F and since the depth of the mine in this question is -1705, set the two of them equal to find the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:25:47.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R7C1 6 NEXT_HINT Solve the equation -1225 - 12F = -1705. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:26:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12F = 1705 strategic 2 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12F = 2930 strategic 1 BUG add 12 In -12F, F is multiplied by -12. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:26:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12F = 2930 strategic 2 BUG divide 12 In this equation, F is multiplied by -12. Dividing by 12 leaves -F, so you still need to remove the negative sign. It is better to divide by -12, since that would leave F. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:26:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12F = 2930 strategic 3 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:26:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A F = -1465/6 strategic 1 BUG rf F = -1465/6 strategic You already solved the equation. F is -1465/6. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:27:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A F = -1465/6 strategic 2 BUG clt F = -1465/6 strategic You already solved the equation. F is -1465/6. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:27:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 7 ERROR 244 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:27:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A F = -1465/6 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:30:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 8 ERROR -244 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:31:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A F = -1465/6 strategic 4 BUG multiply 6 You already solved the equation. F is -1465/6. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:32:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12F = 2930 strategic 4 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:34:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 OK -1225-12F=-1705 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:34:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12F = -1705 strategic 1 ERROR divide 12 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:34:37.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A -1225-12F = -1705 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12F = -1705 strategic 3 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:34:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12F = -480 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:35:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 9 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:35:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 3 OK -1225-12F=0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1225-12F = 0 strategic 1 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -12F = 1225 strategic 1 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:38:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 1 ERROR 50 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 2 ERROR 60 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 3 ERROR 60 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:35.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 4 INITIAL_HINT 60 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 5 NEXT_HINT You know that the expression -1225 - 12F represents the depth of the mine. What value of the digging time will make the general expression -1225 - 12F output the given value of 0 feet? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:43.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 6 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12F and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:46.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 7 NEXT_HINT Solve the equation -1225 - 12F = 0. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:50.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 8 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12F and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:39:55.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 9 NEXT_HINT Solve the equation -1225 - 12F = 0. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:41:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 10 NEXT_HINT Since the general expression for the depth of the mine is -1225 - 12F and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:41:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 11 ERROR 12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:41:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 12 BUG -102 -102
-102 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:42:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 13 ERROR 100 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:42:05.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 14 INITIAL_HINT 100 Since the general expression for the depth of the mine is -1225 - 12F and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:42:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R6C1 15 NEXT_HINT Solve the equation -1225 - 12F = 0. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:42:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 16 BUG 120 120
You entered 120 in the wrong row. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:43:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 17 OK -1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:44:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:44:41.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG subtract 3 Since -3 is negative, you should add to remove it from the left side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:44:59.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:45:04.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 1 ERROR rf (2y-3)/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:45:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 2 ERROR rf (2y-3)/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:45:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 3 BUG divide 5/2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:45:47.0 HINT HINT ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 4 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:45:56.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 5 BUG divide 2 To remove the coefficient of [2y-3]/2, you need to divide by 1/2 or multiply by 2. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:46:01.0 HINT HINT ES_02 ES_02-1 EG2-FIXED ((2y-3)/2)/2 = (5/2)/2 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:46:03.0 HINT HINT ES_02 ES_02-1 EG2-FIXED ((2y-3)/2)/2 = (5/2)/2 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:46:31.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:46:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 6 ERROR rds (2y-3)/2 = 5/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:46:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2 = 5/2 strategic 7 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:46:58.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 1 ERROR clt (2y-3)/2*2 = 5/2*2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 5/2*2 strategic 2 OK mt 5/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:14.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 10/2 strategic 1 ERROR clt (2y-3)/2*2 = 10/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:19.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED (2y-3)/2*2 = 10/2 strategic 2 OK mt (2y-3)/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:24.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 10/2 strategic 1 OK rf 10/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:34.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:36.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 6 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:40.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 7 NEXT_HINT You can add 3 to both sides of the equation to eliminate the constant value of -3 (-3 + 3 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:49.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 8 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:47:58.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:48:05.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:48:13.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:48:25.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR mt 2y/2 = 8/2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:48:31.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 OK rf 8/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:49:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 ERROR rds 2y/2 = 4 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:49:07.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 2 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:49:46.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-6)*1 strategic 1 OK mt (-5-6)*1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:49:58.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5-6 strategic 1 ERROR mt -5-6 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:10.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5-6 strategic 2 BUG add 5 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:15.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-6)*1 strategic 2 OK mt (-5-6)*1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:16.0 HINT HINT ES_02 ES_02-1 EG30 -5-6 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:18.0 HINT HINT ES_02 ES_02-1 EG30 -5-6 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:21.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5-6 strategic 5 OK clt -5-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(-7-2) strategic 1 ERROR mt -9(-7-2) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:36.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(-7-2) strategic 2 OK clt -7-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:50:40.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*-9 strategic 1 OK mt -9*-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:12.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-9-10) strategic 1 ERROR mt -8(-9-10) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:16.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(-9-10) strategic 2 OK clt -9-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:19.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*-19 strategic 1 OK mt -8*-19 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:32.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-3+6)*9 strategic 1 OK clt -3+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:35.0 CYCLE CYCLE ES_02 ES_02-1 EG30 3*9 strategic 1 OK mt 3*9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:42.0 CYCLE CYCLE ES_02 ES_02-1 EG28 8-9*4 strategic 1 OK mt 9*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:45.0 CYCLE CYCLE ES_02 ES_02-1 EG28 8-36 strategic 1 OK clt 8-36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:52.0 CYCLE CYCLE ES_02 ES_02-1 EG29 1+4*-4 strategic 1 ERROR clt 1+4*-4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:51:54.0 HINT HINT ES_02 ES_02-1 EG29 1+4*-4 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:00.0 CYCLE CYCLE ES_02 ES_02-1 EG29 1+4*-4 strategic 3 OK mt 4*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:05.0 CYCLE CYCLE ES_02 ES_02-1 EG29 1+(-16) strategic 1 ERROR mt 1+(-16) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:09.0 CYCLE CYCLE ES_02 ES_02-1 EG29 1+(-16) strategic 2 OK clt 1+(-16) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:16.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6-8*9 strategic 1 ERROR clt -6-8*9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:23.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6-8*9 strategic 2 OK mt 8*9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:27.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6-72 strategic 1 OK clt -6-72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:42.0 CYCLE CYCLE ES_02 ES_02-1 EG28 6+3*-7 strategic 1 OK mt 3*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:45.0 CYCLE CYCLE ES_02 ES_02-1 EG28 6+(-21) strategic 1 OK clt 6+(-21) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:51.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -1(5-8) strategic 1 OK mt -1(5-8) default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:52:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -(5-8) strategic 1 OK clt 5-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:10.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3+10*-4 strategic 1 OK mt 10*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:24.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3+(-40) strategic 1 OK clt 3+(-40) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:31.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4-1)*6 strategic 1 ERROR mt (-4-1)*6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:36.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4-1)*6 strategic 2 OK clt -4-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:40.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5*6 strategic 1 OK mt -5*6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-7)*6 strategic 1 ERROR mt (-9-7)*6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:51.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9-7)*6 strategic 2 OK clt -9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:53:54.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -16*6 strategic 1 OK mt -16*6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:54:01.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(7+0) strategic 1 OK clt 7+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:54:04.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*7 strategic 1 OK mt -9*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:54:27.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7+3)*-5 strategic 1 OK clt -7+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:54:30.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*-5 strategic 1 OK mt -4*-5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session14 2005-11-04 08:54:43.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-1*8 strategic 1 OK mt 1*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:26:53.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7+9*-3 strategic 1 OK mt 9*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:26:58.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7+(-27) strategic 1 OK clt 7+(-27) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3(-1-2) strategic 1 ERROR mt -3(-1-2) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3(-1-2) strategic 2 OK clt -1-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -3(-3) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3*-3 strategic 1 OK mt -3*-3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:27:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 9 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:28:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-9)*-7 strategic 1 ERROR mt (-9-9)*-7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:28:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-9)*-7 strategic 2 OK clt -9-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:28:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG (18)*(-7) (18)*(-7)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:28:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG (18)*(-7) (18)*(-7)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:28:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG (18)*(-7) (18)*(-7)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:29:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR 567 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:29:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR 567 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:29:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 ERROR 567 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:29:54.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 7 INITIAL_HINT 567 You need to combine like terms in (-9-9)*-7. HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:30:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 ERROR 81*7 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:30:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 BUG -18*7 -18*7
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:30:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 10 OK -18*-7 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:30:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -18*-7 strategic 1 OK mt -18*-7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 11 OK 126 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(2-3) strategic 1 OK clt 2-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -4*-1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4*-1 strategic 1 OK mt -4*-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR - default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:31:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:32:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-8*-9 strategic 1 ERROR clt -9-8*-9 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:32:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-8*-9 strategic 2 OK mt 8*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:33:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 72*-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:33:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 72*-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:33:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 72*-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:33:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 72*-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:33:04.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 5 INITIAL_HINT 72*-9 You need to perform multiplication in -9-8*-9. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:33:47.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR -9*72 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:34:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 ERROR -9*-72 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:34:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK -9-(-72) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:34:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+72 strategic 1 OK clt -9+72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:34:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 OK 63 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:34:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0*-6-5 strategic 1 OK mt 0*-6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:35:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG 0*30 0*30
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:35:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG 0*30 0*30
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:35:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG 0*30 0*30
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:35:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 BUG 0*-30 0*-30
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:35:47.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0*-6-5 strategic 2 ERROR clt 0*-6-5 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:35:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0*-6-5 strategic 3 OK mt 0*-6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 BUG 0*(-30) 0*(-30)
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 BUG 0*(-30) 0*(-30)
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 BUG 0*(-30) 0*(-30)
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:06.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 8 INITIAL_HINT 0*(-30) You need to perform multiplication in 0*-6-5. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 OK 0-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0-5 strategic 1 OK clt 0-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 10 OK -5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:36:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-5*-1 strategic 1 OK mt 5*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -4*-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -4*-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -4*-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:18.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT -4*-5 You need to perform multiplication in -4-5*-1. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -4-(-5) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4+5 strategic 1 OK clt -4+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK 1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:37:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (8-7)*4 strategic 1 OK clt 8-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG -1*4 -1*4
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG -1*4 -1*4
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG -1*4 -1*4
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:16.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT -1*4 You need to combine like terms in (8-7)*4. HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 1*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*4 strategic 1 OK mt 1*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK 4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -10(-7-3) strategic 1 ERROR mt -10(-7-3) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:38:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -10(-7-3) strategic 2 OK clt -7-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -10(-10) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -10*-10 strategic 1 OK mt -10*-10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -100 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -100 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -100 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -100 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -100 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:19.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 7 INITIAL_HINT -100 In the group above, you have [-10]*[-10]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK 100 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:39:47.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8+1*-2 strategic 1 OK mt 1*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 8*-2 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 8*-2 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 8*-2 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:19.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 8*-2 You need to perform multiplication in 8+1*-2. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 8+(-2) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 8-2 strategic 1 OK clt 8-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:40:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK 6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:41:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-10)*-9 strategic 1 ERROR mt (-3-10)*-9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:41:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-10)*-9 strategic 2 OK clt -3-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:41:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -13*-9 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:41:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -13*-9 strategic 1 OK mt -13*-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:41:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 117 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:41:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4-3)*8 strategic 1 OK clt -4-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -7*8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*8 strategic 1 OK mt -7*8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -56 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+7*0 strategic 1 OK mt 7*0 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -3*0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -3*0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -3*0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:42:44.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT -3*0 You need to perform multiplication in -3+7*0. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:43:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -3+0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:43:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+0 strategic 1 OK clt -3+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:43:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:44:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-10*-3 strategic 1 OK mt 10*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:44:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -8*(-30) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:44:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -8*(-30) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:44:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -8*(-30) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:44:45.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT -8*(-30) You need to perform multiplication in -8-10*-3. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:44:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -8-(-30) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:45:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8+30 strategic 1 OK clt -8+30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:45:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK 22 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:45:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-9*7 strategic 1 OK mt 9*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 4*-63 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 4*-63 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 4*-63 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:12.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 4+-63 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-63 strategic 1 OK clt 4-63 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -59 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:46:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10-3*-4 strategic 1 OK mt 3*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:47:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -10+12 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:47:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -10+12 strategic 1 OK clt -10+12 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:47:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 2 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:47:48.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-2-1)*-4 strategic 1 ERROR mt x = (-2-1)*-4 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:47:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-2-1)*-4 strategic 2 OK clt -2-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:47:57.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = -3*-4 strategic 1 OK mt -3*-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:06.0 CYCLE CYCLE ES_02 ES_02-3 EG35A y = -9(43+10) strategic 1 OK clt 43+10 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:09.0 CYCLE CYCLE ES_02 ES_02-3 EG35A y = -9*53 strategic 1 OK mt -9*53 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:17.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -16*-24+19 strategic 1 OK mt -16*-24 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:20.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 384+19 strategic 1 OK clt 384+19 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:28.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -22(-8+22) strategic 1 OK clt -8+22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -22*14 strategic 1 OK mt -22*14 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:40.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -34+5*-9 strategic 1 OK mt 5*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:43.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -34+(-45) strategic 1 OK clt -34+(-45) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:51.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = (-44-33)*7 strategic 1 OK clt -44-33 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:48:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = -77*7 strategic 1 OK mt -77*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:49:02.0 CYCLE CYCLE ES_02 ES_02-3 EG32C 8-11*33 = y strategic 1 OK mt 11*33 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:49:05.0 CYCLE CYCLE ES_02 ES_02-3 EG32C 8-363 = y strategic 1 OK clt 8-363 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:49:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (21-40)*-8 = y strategic 1 OK clt 21-40 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:49:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -19*(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:49:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -19*-8 = y strategic 1 OK mt -19*-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 152 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:25.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -21(-17-30) strategic 1 OK clt -17-30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -21*-47 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -21*-47 strategic 1 OK mt -21*-47 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 ERROR -987 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 3 ERROR -987 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:50:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 4 ERROR -987 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:51:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 5 OK 987 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:51:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-2+8)*-2 strategic 1 OK clt -2+8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:51:38.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK 6*-2 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:51:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = 6*-2 strategic 1 OK mt 6*-2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:51:52.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -12 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:52:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+2y = 0 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session15 2005-11-11 08:52:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6+2y+6 = 0+6 strategic 1 OK clt 0+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:29:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -1x+1 strategic 1 BUG add 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -1x+1 strategic 2 ERROR add -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:11.0 HINT HINT ES_02 ES_02-5 EG40 4 = -1x+1 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -1x+1 strategic 4 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-1 = -1x+1-1 strategic 1 OK clt 4-1 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1x+1-1 strategic 1 OK clt -1x+1-1 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1x strategic 1 ERROR clt 3 = -1x strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:30:57.0 HINT HINT ES_02 ES_02-5 EG40 3 = -1x strategic 2 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1x strategic 3 BUG add 1 In -1x, x is multiplied by -1. How do you undo multiplication? BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1x strategic 4 BUG divide 1 In this equation, x is multiplied by -1. Dividing by 1 leaves -x, so you still need to remove the negative sign. It is better to divide by -1, since that would leave x. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:24.0 HINT HINT ES_02 ES_02-5 EG40 3 = -1x strategic 5 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:25.0 HINT HINT ES_02 ES_02-5 EG40 3 = -1x strategic 6 NEXT_HINT -1x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:29.0 HINT HINT ES_02 ES_02-5 EG40 3 = -1x strategic 7 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1x strategic 8 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/-1 = -1x/-1 strategic 1 OK rf 3/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -1x/-1 strategic 1 ERROR clt -3 = -1x/-1 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:31:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -1x/-1 strategic 2 OK rf -1x/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:32:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-5y = 2 strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:32:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-5y = 2 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:32:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-5y+3 = 2+3 strategic 1 OK clt 2+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:32:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-5y+3 = 5 strategic 1 OK clt -3-5y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:32:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = 5 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:32:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = 5/-5 strategic 1 OK rf 5/-5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = -1 strategic 1 OK rf -5y/-5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+8 = 8 strategic 1 BUG add 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:22.0 HINT HINT ES_02 ES_02-5 EG40 6x+8+8 = 8+8 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+8 = 8 strategic 2 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+8-8 = 8-8 strategic 1 OK clt 8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x+8-8 = 0 strategic 1 OK clt 6x+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x = 0 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:33:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 0/6 strategic 1 OK rf 0/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 0 strategic 1 ERROR rds 6x/6 = 0 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6x/6 = 0 strategic 2 OK rf 6x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 1 BUG add -2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:29.0 HINT HINT ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:32.0 HINT HINT ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 3 NEXT_HINT 1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:33.0 HINT HINT ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 4 NEXT_HINT What can you do to both sides of the equation to eliminate the constant value from the left side? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:36.0 HINT HINT ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 5 NEXT_HINT 1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:34:45.0 HINT HINT ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 6 NEXT_HINT You can subtract 1 from both sides of the equation to eliminate the constant value of 1 (1 - 1 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y+1 = -2 strategic 7 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y+1-1 = -2-1 strategic 1 OK clt -2-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y+1-1 = -3 strategic 1 OK clt -8y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = -3 strategic 1 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:26.0 HINT HINT ES_02 ES_02-5 EG40 -8y/-3 = -3/-3 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:27.0 HINT HINT ES_02 ES_02-5 EG40 -8y/-3 = -3/-3 strategic 2 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = -3 strategic 2 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y/-8 = -3/-8 strategic 1 OK rf -3/-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:35:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y/-8 = 3/8 strategic 1 OK rf -8y/-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 3/8 strategic 1 BUG rf y = 3/8 strategic You already solved the equation. y is 3/8. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+1 = 7 strategic 1 BUG add 1 Since 1 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 1 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:22.0 HINT HINT ES_02 ES_02-5 EG40 9x+1 = 7 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:27.0 HINT HINT ES_02 ES_02-5 EG40 9x+1 = 7 strategic 3 NEXT_HINT 1 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+1 = 7 strategic 4 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+1-1 = 7-1 strategic 1 OK clt 7-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+1-1 = 6 strategic 1 OK clt 9x+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = 6 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:36:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = 6/9 strategic 1 OK rf 6/9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:37:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = 2/3 strategic 1 OK rf 9x/9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:37:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0 = 3+4x strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:37:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 0-3 = 3+4x-3 strategic 1 OK clt 0-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:37:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 3+4x-3 strategic 1 OK clt 3+4x-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:37:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:37:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/4 = 4x/4 strategic 1 OK rf 4x/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:38:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+9 = 10 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:38:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+9-9 = 10-9 strategic 1 OK clt 10-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:38:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y+9-9 = 1 strategic 1 OK clt 4y+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:38:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y = 1 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:38:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4y/4 = 1/4 strategic 1 OK rf 4y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:39:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -10y-6 strategic 1 BUG subtract 6 Since -6 is negative, you should add to remove it from the right side. Erase your last step and add 6 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:39:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -10y-6 strategic 2 BUG subtract -2 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:39:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -10y-6 strategic 3 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:39:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2-(-6) = -10y-6-(-6) strategic 1 OK clt -2-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:39:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -10y-6-(-6) strategic 1 OK clt -10y-6-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:39:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -10y strategic 1 BUG divide 10 In this equation, y is multiplied by -10. Dividing by 10 leaves -y, so you still need to remove the negative sign. It is better to divide by -10, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:40:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -10y strategic 2 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:40:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4/-10 = -10y/-10 strategic 1 OK rf 4/-10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:40:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/5 = -10y/-10 strategic 1 OK rf -10y/-10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:40:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/5 = -10y/-10 strategic 2 OK rf -10y/-10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:41:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+5y = 7 strategic 1 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:41:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+5y = 7 strategic 2 ERROR divide -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:41:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+5y = 7 strategic 3 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:41:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+5y-(-8) = 7-(-8) strategic 1 OK clt 7-(-8) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:41:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+5y-(-8) = 15 strategic 1 OK clt -8+5y-(-8) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:41:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y = 15 strategic 1 BUG divide 15 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:42:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y = 15 strategic 2 BUG divide 15 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:42:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y = 15 strategic 3 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:42:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y/5 = 15/5 strategic 1 OK rf 15/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:42:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y/5 = 3 strategic 1 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -5-2x strategic 1 BUG add -5 To remove -5 from the right side, you can add a positive to it. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -5-2x strategic 2 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-(-5) = -5-2x-(-5) strategic 1 OK clt 2-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -5-2x-(-5) strategic 1 OK clt -5-2x-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -2x strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/-2 = -2x/-2 strategic 1 OK rf 7/-2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:43:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/2 = -2x/-2 strategic 1 OK rf -2x/-2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7/2 = x strategic 1 BUG rf -7/2 = x strategic You already solved the equation. x is -7/2. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -9-1y strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6-(-9) = -9-1y-(-9) strategic 1 OK clt -6-(-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -9-1y-(-9) strategic 1 ERROR mt 3 = -9-1y-(-9) strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -9-1y-(-9) strategic 2 OK clt -9-1y-(-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -1y strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/-1 = -1y/-1 strategic 1 ERROR clt 3/-1 = -1y/-1 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:44:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/-1 = -1y/-1 strategic 2 OK rf 3/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:45:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -1y/-1 strategic 1 OK rf -1y/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:45:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -9-7x strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:45:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-(-9) = -9-7x-(-9) strategic 1 OK clt 2-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:45:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11 = -9-7x-(-9) strategic 1 OK clt -9-7x-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:45:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:45:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11/-7 = -7x/-7 strategic 1 OK rf 11/-7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -11/7 = -7x/-7 strategic 1 OK rf -7x/-7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x-5 = 2 strategic 1 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x-5-(-5) = 2-(-5) strategic 1 OK clt 2-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x-5-(-5) = 7 strategic 1 OK clt -3x-5-(-5) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = 7 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x/-3 = 7/-3 strategic 1 OK rf 7/-3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:46:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x/-3 = -7/3 strategic 1 OK rf -3x/-3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:47:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+8 = 2 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:47:36.0 HINT HINT ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 1 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:47:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 2 BUG typein -8 You forgot the y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:47:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 3 OK typein -8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:48:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+8 = 2 strategic 2 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:48:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 4 OK typein -8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:48:56.0 HINT HINT ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:48:58.0 HINT HINT ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 6 NEXT_HINT Type in 2-8 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y+8-8 = 2-8 strategic 7 OK typein 2-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y = 2-8 strategic 1 OK clt 2-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y = -6 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 1 BUG typein -8y You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 2 ERROR typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:40.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:46.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:47.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 5 NEXT_HINT Type in -8y/-8 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:56.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:49:58.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 7 NEXT_HINT Type in -8y/-8 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:50:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 8 BUG typein -8y/8 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:50:22.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:50:26.0 HINT HINT ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 10 NEXT_HINT Type in -8y/-8 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:50:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 11 OK typein -8y/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:50:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 12 OK typein -6/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = -6/-8 strategic 13 OK rf -6/-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:51:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:51:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 ERROR -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:51:33.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 3 INITIAL_HINT -8 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:51:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 4 OK -2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:51:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:52:43.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT -6 The common factor between the numerator and denominator of [-6]/[-8] is -2. This set of entry boxes represent the simplified form of [-6]/[-8]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:52:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:52:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:04.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 2 INITIAL_HINT Above is the simplified form of the expression -6/-8. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 3/4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 3/4 strategic 1 OK rf -8y/-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 5 BUG -2 -2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 6 BUG 2 2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 7 BUG 2 2
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:34.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 8 INITIAL_HINT 2 From the original equation at the top, select -8 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session16 2005-11-16 08:53:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8y/-8 = 3/4 strategic 2 ERROR mt -8y/-8 = 3/4 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:24:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -1-9x strategic 1 BUG subtract -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:24:42.0 HINT HINT ES_02 ES_02-6 EG40 -7 = -1-9x strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:24:44.0 HINT HINT ES_02 ES_02-6 EG40 -7 = -1-9x strategic 3 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:24:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = -1-9x strategic 4 OK subtract -1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:25:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-(-1) = -1-9x-(-1) strategic 1 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:25:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-(-1) = -1-9x-(-1) strategic 2 OK typein -9x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:25:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:25:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 1 BUG typein -6 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:25:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -9x strategic 2 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:25:56.0 HINT HINT ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 3 ERROR typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -9x strategic 3 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -9x strategic 4 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:22.0 HINT HINT ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:25.0 HINT HINT ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 5 NEXT_HINT Type in -6/-9 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 6 OK typein -6/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 7 ERROR typein -9/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:26:59.0 HINT HINT ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 8 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:00.0 HINT HINT ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 9 NEXT_HINT Type in -9x/-9 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 10 OK typein -9x/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-9 = -9x/-9 strategic 11 OK rf -6/-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 ERROR -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 2 ERROR -6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 3 ERROR -6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:26.0 HINT HINT ES_02 ES_02-6 EG40 row2constant factors strategic 4 INITIAL_HINT -6 You need to find the most appropriate common factor between the numerator and denominator above in the constant factors. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:27:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 5 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:05.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 INITIAL_HINT The common factor between the numerator and denominator of [-6]/[-9] is -3. This set of entry boxes represent the simplified form of [-6]/[-9]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR -1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 ERROR -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:34.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 5 INITIAL_HINT -3 The common factor between the numerator and denominator of [-6]/[-9] is -3. This set of entry boxes represent the simplified form of [-6]/[-9]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 6 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:28:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 2 OK 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 2/3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/3 = -9x/-9 strategic 1 OK rf -9x/-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 6 BUG 9 9
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 7 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 BUG -9 -9
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 BUG -9x -9x
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 3 BUG -9x -9x
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:32.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 4 INITIAL_HINT -9x From the original equation at the top, select X from the numerator and drag it to the numerator of the X factors box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 3 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:29:55.0 HINT HINT ES_02 ES_02-6 EG40 row1-N-constant factors strategic 4 INITIAL_HINT x This entry box represent the constant factor of the numerator. Find the constant factor in the numerator of the expression -9x/-9. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 5 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 6 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 7 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 8 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 9 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 5 BUG -9 -9
Perhaps you should fill in the numerator of the x factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 10 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 11 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 12 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:30:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 13 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:31:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:31:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:32:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 6 BUG 3 3
Perhaps you should fill in the denominator of the x factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:32:26.0 HINT HINT ES_02 ES_02-6 EG40 row2x strategic 7 INITIAL_HINT 3 Because there are no x factors in the denominator of -9x/-9, you must double-click in order to enter a 1. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:32:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 8 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:32:41.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 7 INITIAL_HINT Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:32:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 8 BUG -9 -9
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:14.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 9 INITIAL_HINT -9 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 10 BUG 9 9
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:21.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 11 INITIAL_HINT 9 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 12 BUG -3 -3
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:36.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 13 INITIAL_HINT -3 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:36.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 14 INITIAL_HINT -3 Before working on this answer, perhaps try filling in the numerator in the constant factors above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 14 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 15 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 2 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 2 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:33:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:35:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 16 ERROR - default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:35:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 17 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:36:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 18 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:36:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 4 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:36:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:36:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 15 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:36:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:36:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:37:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:37:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2/3 = x strategic 1 BUG rf 2/3 = x strategic You already solved the equation. x is 2/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:37:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-4y = -4 strategic 1 ERROR divide -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:38:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-4y = -4 strategic 2 OK subtract -5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:38:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-4y-(-5) = -4-(-5) strategic 1 OK typein -4y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:38:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5-4y-(-5) = -4-(-5) strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:38:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y = 1 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:38:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4y/-4 = 1/-4 strategic 1 BUG typein -4y You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:38:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4y/-4 strategic 1 OK typein 1/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4y/-4 strategic 2 OK typein -4y/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1/-4 = -4y/-4 strategic 3 OK rf 1/-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 ERROR -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:24.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 10 INITIAL_HINT 1 Above is the simplified form of the expression 1/-4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:24.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 11 INITIAL_HINT 1 Above is the simplified form of the expression 1/-4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:24.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 12 INITIAL_HINT 1 Above is the simplified form of the expression 1/-4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 OK -1/4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1/4 = -4y/-4 strategic 1 OK rf -4y/-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:39:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:19.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT -4 The common factor between the numerator and denominator of [-4]/[-4] is -4. This set of entry boxes represent the simplified form of [-4]/[-4]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:40:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -3+9x strategic 1 BUG subtract 4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -3+9x strategic 2 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:41:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 1 BUG typein 1 1 is equal to 4 plus -3. You need to calculate 4 minus -3. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:41:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 2 BUG typein -1 -1 is equal to -4 minus -3. You need to calculate 4 minus -3. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:41:38.0 HINT HINT ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:41:41.0 HINT HINT ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 4 NEXT_HINT Type in 4-(-3) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:42:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 5 OK typein 4-(-3) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:42:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 6 ERROR typein 9x-(-3) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:42:33.0 HINT HINT ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:42:35.0 HINT HINT ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 8 NEXT_HINT Type in -3+9x-(-3) on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:42:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-(-3) = -3+9x-(-3) strategic 9 OK typein -3+9x-(-3) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:42:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+3 = -3+9x+3 strategic 1 OK clt 4+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 7 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -3+9x+3 strategic 1 OK clt -3+9x+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG -3 -3
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -3, is not one of the x terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 9x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 9x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:43:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 BUG 1 1
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG 1 1
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:01.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 3 INITIAL_HINT 1 From the original equation at the top, select 3 and drag it to the constant terms box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 4 BUG 3 3
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 BUG -3 -3
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:24.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 6 INITIAL_HINT -3 From the original equation at the top, select 3 and drag it to the constant terms box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK +3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:44:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 7 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 9x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 9x strategic 1 BUG divide 9x Dividing anything by itself will leave 1. If you divide 9x by 9, x will be left. Erase your last step and then divide by 9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 9x strategic 2 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:35.0 HINT HINT ES_02 ES_02-6 EG40 7 = 9x strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:37.0 HINT HINT ES_02 ES_02-6 EG40 7 = 9x strategic 4 NEXT_HINT 9x is 9 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:41.0 HINT HINT ES_02 ES_02-6 EG40 7 = 9x strategic 5 NEXT_HINT Divide both sides by 9. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 9x strategic 6 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:45:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/9 = 9x/9 strategic 1 OK typein 7/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/9 = 9x/9 strategic 2 OK typein 9x/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/9 = 9x/9 strategic 3 OK rf 9x/9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 2 ERROR 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:39.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 INITIAL_HINT 9 The common factor between the numerator and denominator of [9]/[9] is 9. This set of entry boxes represent the simplified form of [9]/[9]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 3 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:46:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 6x-1 strategic 1 OK subtract -1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-1) = 6x-1-(-1) strategic 1 OK typein 6-(-1) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-1) = 6x-1-(-1) strategic 2 ERROR typein 6x-(-1) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:44.0 HINT HINT ES_02 ES_02-6 EG40 6-(-1) = 6x-1-(-1) strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:46.0 HINT HINT ES_02 ES_02-6 EG40 6-(-1) = 6x-1-(-1) strategic 4 NEXT_HINT Type in 6x-1-(-1) on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-(-1) = 6x-1-(-1) strategic 5 OK typein 6x-1-(-1) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:47:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6+1 = 6x-1+1 strategic 1 OK clt 6+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 7 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 6x-1+1 strategic 1 OK clt 6x-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 6x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK +1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK 6x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 6x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:48:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/6 = 6x/6 strategic 1 OK typein 7/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/6 = 6x/6 strategic 2 OK typein 6x/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/6 = 6x/6 strategic 3 OK rf 6x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:49:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8 = 5 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 1 ERROR typein -1x/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:10.0 HINT HINT ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:11.0 HINT HINT ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 3 NEXT_HINT Type in -1x-8-(-8) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 4 ERROR typein -1x-8/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8 = 5 strategic 2 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 5 ERROR typein -1x/-8+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:47.0 HINT HINT ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:50:47.0 HINT HINT ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 7 NEXT_HINT Type in -1x-8-(-8) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:51:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 8 ERROR typein -1x/-8-(-8)8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:51:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8 = 5 strategic 3 ERROR divide -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:51:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8 = 5 strategic 4 BUG divide 8 You want to isolate -1x by removing -8 from the left side. 8 is subtracted from -1x. What is the opposite of subtraction? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:51:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8 = 5 strategic 5 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:51:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 9 OK typein -1x-8-(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8-(-8) = 5-(-8) strategic 10 OK typein 5-(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8+8 = 5+8 strategic 1 OK clt 5+8 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 13 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-8+8 = 13 strategic 1 OK clt -1x-8+8 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK -1x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK +8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK -1x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:52:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -1x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -x = 13 strategic 1 BUG divide 13 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -x = 13 strategic 2 BUG divide -x Dividing anything by itself will leave 1. If you divide -x by -1, x will be left. Erase your last step and then divide by -1. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:27.0 HINT HINT ES_02 ES_02-6 EG40 -x = 13 strategic 3 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:28.0 HINT HINT ES_02 ES_02-6 EG40 -x = 13 strategic 4 NEXT_HINT -x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:32.0 HINT HINT ES_02 ES_02-6 EG40 -x = 13 strategic 5 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -x = 13 strategic 6 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13/-1 = -x/-1 strategic 1 OK typein 13/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13/-1 = -x/-1 strategic 2 OK typein -x/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:53:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 13/-1 = -x/-1 strategic 3 OK rf 13/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:08.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT -1 Above is the simplified form of the expression 13/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK -13 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -13 = -x/-1 strategic 1 OK rf -x/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 BUG -x -x
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 BUG -x -x
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 BUG -x -x
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:30.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 14 INITIAL_HINT -1 Above is the simplified form of the expression -x/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session17 2005-11-18 08:54:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:28:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 8+2x strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:28:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+2x-8 strategic 1 OK typein 8-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:28:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8+2x-8 strategic 2 OK typein 8-8+2x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:28:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8-8 = 8-8+2x strategic 1 OK clt 8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:28:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:28:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 8-8+2x strategic 1 OK clt 8-8+2x default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG 8 8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 8, is not one of the x terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 OK 2x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 1 OK 2x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:29:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 2x+0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 2x+0 strategic 1 OK clt 2x+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK 2x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK 2x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK 2x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/2 = 2x/2 strategic 1 OK typein 0/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/2 = 2x/2 strategic 2 OK typein 2x/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:30:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/2 = 2x/2 strategic 3 OK rf 0/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK 0 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = 2x/2 strategic 1 OK rf 2x/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 1 ERROR 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-x strategic 2 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-x strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2x strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:46.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 INITIAL_HINT 2 The common factor between the numerator and denominator of [2]/[2] is 2. This set of entry boxes represent the simplified form of [2]/[2]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:31:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-x strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-x strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 8 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y = 0 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 1 BUG typein 4-1y You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:32:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y = 0 strategic 2 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:01.0 HINT HINT ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 3 BUG typein 4 4 is equal to 0 plus 4. You need to calculate 0 minus 4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 4 BUG typein 4-0 4-0 is equal to 0 plus 4. You need to calculate 0 minus 4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 5 ERROR typein 4-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:21.0 HINT HINT ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:23.0 HINT HINT ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 7 NEXT_HINT Type in 4-1y-4 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 8 OK typein 4-1y-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:33:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 9 BUG typein 4-0 4-0 is equal to 0 plus 4. You need to calculate 0 minus 4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:34:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y = 0 strategic 3 OK subtract 4-1y-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:34:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y = 0 strategic 4 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:34:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 10 OK typein 4-1y-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:34:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = 0-4 strategic 11 OK typein -4-0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = -4-0 strategic 1 OK clt -4-0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 OK -4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4-1y-4 = -4 strategic 1 OK clt 4-1y-4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 BUG -4 -4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -4, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 4 BUG 4 4
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 4, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 5 OK -1y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK -1y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:35:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 BUG -4 -4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 BUG 4 4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 BUG 4 4
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:08.0 HINT HINT ES_02 ES_02-6 EG40 constant termsR2 strategic 4 INITIAL_HINT 4 From the original equation at the top, select 4 and drag it to the constant terms box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 5 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 OK -1y+0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:36:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0 = -4 strategic 1 BUG divide -4 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:37:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0 = -4 strategic 2 ERROR divide 4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:37:05.0 HINT HINT ES_02 ES_02-6 EG40 -y+0 = -4 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:37:07.0 HINT HINT ES_02 ES_02-6 EG40 -y+0 = -4 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:37:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0 = -4 strategic 5 OK clt -y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:37:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0 = -4 strategic 6 OK clt -y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:37:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -y+0 = -4 strategic 7 OK clt -y+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:41:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 4+9y strategic 1 BUG subtract -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:41:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 4+9y strategic 2 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:41:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-4 = 4+9y-4 strategic 1 OK typein -7-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:41:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-4 = 4+9y-4 strategic 2 OK typein 4-4+9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:41:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-4 = 4-4+9y strategic 1 OK clt -7-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 ERROR -3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 ERROR -3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 ERROR -3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR 11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR 11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 6 ERROR 11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 ERROR 11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:15.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 8 INITIAL_HINT 11 In the group above, you have [-7]+[-4]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 9 OK -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 4-4+9y strategic 1 OK clt 4-4+9y default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 2 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 1 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:42:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 10 OK 9y-0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:43:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y-0 strategic 1 BUG divide -11 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:43:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y-0 strategic 2 ERROR divide 11 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:43:51.0 HINT HINT ES_02 ES_02-6 EG40 -11 = 9y-0 strategic 3 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:43:52.0 HINT HINT ES_02 ES_02-6 EG40 -11 = 9y-0 strategic 4 NEXT_HINT Combine like terms. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y-0 strategic 5 OK clt 9y-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 2 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 3 OK -0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 2 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 2 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 11 OK 9y+0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y+0 strategic 1 OK clt 9y+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 3 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 4 OK +0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 yR2 strategic 3 OK 9y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 3 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 12 OK 9y default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:44:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y strategic 1 BUG divide -11 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y strategic 2 BUG divide 9y Dividing anything by itself will leave 1. If you divide 9y by 9, y will be left. Erase your last step and then divide by 9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:04.0 HINT HINT ES_02 ES_02-6 EG40 -11 = 9y strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:05.0 HINT HINT ES_02 ES_02-6 EG40 -11 = 9y strategic 4 NEXT_HINT 9y is 9 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:09.0 HINT HINT ES_02 ES_02-6 EG40 -11 = 9y strategic 5 NEXT_HINT Divide both sides by 9. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11 = 9y strategic 6 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/9 = 9y/9 strategic 1 OK typein -11/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/9 = 9y/9 strategic 2 OK typein 9y/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/9 = 9y/9 strategic 3 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-N-constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 1 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row1-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2constant factors strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:45:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 1 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 2 ERROR 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:05.0 HINT HINT ES_02 ES_02-6 EG40 row3-N-constant factors strategic 3 INITIAL_HINT 9 The common factor between the numerator and denominator of [9]/[9] is 9. This set of entry boxes represent the simplified form of [9]/[9]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 row3-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 13 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 14 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 15 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 16 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/9 = y strategic 1 BUG clt -11/9 = y strategic You already solved the equation. y is -11/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:46:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -11/9 = y strategic 2 BUG rf -11/9 = y strategic You already solved the equation. y is -11/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+(y/-9) = 2 strategic 1 ERROR clt 6+(y/-9) = 2 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+(y/-9) = 2 strategic 2 OK rf y/-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:19.0 HINT HINT ES_02 ES_02-7 EG41 6+(-y/9) = 2 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:21.0 HINT HINT ES_02 ES_02-7 EG41 6+(-y/9) = 2 strategic 2 NEXT_HINT 6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 6 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+(-y/9) = 2 strategic 3 OK subtract 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+(-y/9)-6 = 2-6 strategic 1 OK clt 2-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+(-y/9)-6 = -4 strategic 1 OK clt 6+(-y/9)-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/9 = -4 strategic 1 ERROR rf -y/9 = -4 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:49.0 HINT HINT ES_02 ES_02-7 EG41 -y/9 = -4 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:50.0 HINT HINT ES_02 ES_02-7 EG41 -y/9 = -4 strategic 3 NEXT_HINT In -y/9, y is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:47:53.0 HINT HINT ES_02 ES_02-7 EG41 -y/9 = -4 strategic 4 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -9/1, which is the same as mulitplying by -9. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:48:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/9 = -4 strategic 5 OK multiply -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:48:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/9*-9 = -4*-9 strategic 1 ERROR clt -y/9*-9 = -4*-9 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:48:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/9*-9 = -4*-9 strategic 2 OK mt -4*-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:48:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/9*-9 = 36 strategic 1 OK mt -y/9*-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:48:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = -2+(x/-4) strategic 1 BUG subtract 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = -2+(x/-4) strategic 2 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7-(-2) = -2+(x/-4)-(-2) strategic 1 OK clt 7-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -2+(x/-4)-(-2) strategic 1 OK clt -2+(x/-4)-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = x/-4 strategic 1 OK rf x/-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:23.0 HINT HINT ES_02 ES_02-7 EG41 9 = -x/4 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:24.0 HINT HINT ES_02 ES_02-7 EG41 9 = -x/4 strategic 2 NEXT_HINT In -x/4, x is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -x/4 strategic 3 BUG multiply 9 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:36.0 HINT HINT ES_02 ES_02-7 EG41 9 = -x/4 strategic 4 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:37.0 HINT HINT ES_02 ES_02-7 EG41 9 = -x/4 strategic 5 NEXT_HINT In -x/4, x is multiplied by -1/4. How do you change the -1/4 into a 1? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:40.0 HINT HINT ES_02 ES_02-7 EG41 9 = -x/4 strategic 6 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -4/1, which is the same as mulitplying by -4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -x/4 strategic 7 OK multiply -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9*-4 = -x/4*-4 strategic 1 OK mt 9*-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:49:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -36 = -x/4*-4 strategic 1 OK mt -x/4*-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9+7 = -1 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9+7-7 = -1-7 strategic 1 OK clt -1-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9+7-7 = -8 strategic 1 OK clt x/-9+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = -8 strategic 1 BUG multiply -8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:43.0 HINT HINT ES_02 ES_02-7 EG41 x/-9 = -8 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:44.0 HINT HINT ES_02 ES_02-7 EG41 x/-9 = -8 strategic 3 NEXT_HINT In x/-9, x is divided by -9. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:50:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = -8 strategic 4 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = -8*-9 strategic 1 OK mt -8*-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = 72 strategic 1 ERROR clt x/-9*-9 = 72 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = 72 strategic 2 OK mt x/-9*-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2+7 = 1 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-2+7-7 = 1-7 strategic 1 OK rf y/-2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2+7-7 = 1-7 strategic 1 OK clt 1-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:51:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2+7-7 = -6 strategic 1 OK clt -y/2+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:52:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2 = -6 strategic 1 OK multiply -2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:52:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2*-2 = -6*-2 strategic 1 ERROR clt -y/2*-2 = -6*-2 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:52:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2*-2 = -6*-2 strategic 2 OK mt -6*-2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -y/2*-2 = 12 strategic 1 OK mt -y/2*-2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+y/4 = -5 strategic 1 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+y/4-(-3) = -5-(-3) strategic 1 OK clt -5-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3+y/4-(-3) = -2 strategic 1 OK clt -3+y/4-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4 = -2 strategic 1 ERROR multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:51.0 HINT HINT ES_02 ES_02-7 EG41 y/4 = -2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:52.0 HINT HINT ES_02 ES_02-7 EG41 y/4 = -2 strategic 3 NEXT_HINT In y/4, y is divided by 4. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:53:56.0 HINT HINT ES_02 ES_02-7 EG41 y/4 = -2 strategic 4 NEXT_HINT Multiply both sides by 4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:54:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4 = -2 strategic 5 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session18 2005-11-23 08:54:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/4*4 = -2*4 strategic 1 ERROR clt y/4*4 = -2*4 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:15:39.0 HINT HINT ES_02 ES_02-7 EG41 6+y/3 = -6 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:15:42.0 HINT HINT ES_02 ES_02-7 EG41 6+y/3 = -6 strategic 2 NEXT_HINT 6 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 6 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:15:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+y/3 = -6 strategic 3 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+y/3-6 = -6-6 strategic 1 OK clt -6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6+y/3-6 = -12 strategic 1 OK clt 6+y/3-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:18.0 HINT HINT ES_02 ES_02-7 EG41 y/3 = -12 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:21.0 HINT HINT ES_02 ES_02-7 EG41 y/3 = -12 strategic 2 NEXT_HINT In y/3, y is divided by 3. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:26.0 HINT HINT ES_02 ES_02-7 EG41 y/3 = -12 strategic 3 NEXT_HINT Multiply both sides by 3. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/3 = -12 strategic 4 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/3*3 = -12*3 strategic 1 OK mt -12*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:16:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/3*3 = -36 strategic 1 OK mt y/3*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = x/-7-1 strategic 1 ERROR subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:06.0 HINT HINT ES_02 ES_02-7 EG41 -9 = x/-7-1 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:06.0 HINT HINT ES_02 ES_02-7 EG41 -9 = x/-7-1 strategic 3 NEXT_HINT -1 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -1 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:10.0 HINT HINT ES_02 ES_02-7 EG41 -9 = x/-7-1 strategic 4 NEXT_HINT You can add 1 to both sides of the equation to eliminate the constant value of -1 (-1 + 1 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9 = x/-7-1 strategic 5 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9+1 = x/-7-1+1 strategic 1 OK clt -9+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/-7-1+1 strategic 1 OK clt x/-7-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:41.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/-7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:42.0 HINT HINT ES_02 ES_02-7 EG41 -8 = x/-7 strategic 2 NEXT_HINT In x/-7, x is divided by -7. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:17:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/-7 strategic 3 BUG multiply 7 Multiplying by 7 will leave -x. It is better to multiply by -7, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = x/-7 strategic 4 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*-7 = x/-7*-7 strategic 1 ERROR clt -8*-7 = x/-7*-7 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*-7 = x/-7*-7 strategic 2 OK mt -8*-7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 56 = x/-7*-7 strategic 1 OK mt x/-7*-7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2-7 = -6 strategic 1 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:55.0 HINT HINT ES_02 ES_02-7 EG41 x/2-7 = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:56.0 HINT HINT ES_02 ES_02-7 EG41 x/2-7 = -6 strategic 3 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:18:59.0 HINT HINT ES_02 ES_02-7 EG41 x/2-7 = -6 strategic 4 NEXT_HINT You can add 7 to both sides of the equation to eliminate the constant value of -7 (-7 + 7 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2-7 = -6 strategic 5 BUG subtract 7 Since -7 is negative, you should add to remove it from the left side. Erase your last step and add 7 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2-7 = -6 strategic 6 OK subtract -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2-7-(-7) = -6-(-7) strategic 1 OK clt -6-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2-7-(-7) = 1 strategic 1 OK clt x/2-7-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2 = 1 strategic 1 BUG divide 2 To remove the coefficient of x/2, you need to divide by 1/2 or multiply by 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2 = 1 strategic 2 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:51.0 HINT HINT ES_02 ES_02-7 EG41 (x/2)/1 = 1/1 strategic 1 INITIAL_HINT default_condition [SkillRule: invert-mult; {ivm}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:53.0 HINT HINT ES_02 ES_02-7 EG41 (x/2)/1 = 1/1 strategic 2 NEXT_HINT Dividing by a fraction is the same as multiplying by its inverse. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:19:56.0 HINT HINT ES_02 ES_02-7 EG41 (x/2)/1 = 1/1 strategic 3 NEXT_HINT Invert and multiply to convert the division to multiplication. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:12.0 HINT HINT ES_02 ES_02-7 EG41 x/2 = 1 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:13.0 HINT HINT ES_02 ES_02-7 EG41 x/2 = 1 strategic 4 NEXT_HINT In x/2, x is divided by 2. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2 = 1 strategic 5 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2*2 = 1*2 strategic 1 OK mt 1*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/2*2 = 2 strategic 1 OK mt x/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+x/4 = 0 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+x/4-(-2) = 0-(-2) strategic 1 OK clt 0-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:20:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2+x/4-(-2) = 2 strategic 1 OK clt -2+x/4-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4 = 2 strategic 1 BUG multiply 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:08.0 HINT HINT ES_02 ES_02-7 EG41 x/4 = 2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:09.0 HINT HINT ES_02 ES_02-7 EG41 x/4 = 2 strategic 3 NEXT_HINT In x/4, x is divided by 4. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4 = 2 strategic 4 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4*4 = 2*4 strategic 1 OK mt 2*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4*4 = 8 strategic 1 OK mt x/4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+2 = 3 strategic 1 BUG divide 3 To remove the coefficient of x/3, you need to divide by 1/3 or multiply by 3. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+2 = 3 strategic 2 BUG divide 2 You want to isolate x/3 by removing 2 from the left side. 2 is added to x/3. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:57.0 HINT HINT ES_02 ES_02-7 EG41 x/3+2 = 3 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:21:59.0 HINT HINT ES_02 ES_02-7 EG41 x/3+2 = 3 strategic 4 NEXT_HINT 2 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 2 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:03.0 HINT HINT ES_02 ES_02-7 EG41 x/3+2 = 3 strategic 5 NEXT_HINT You can subtract 2 from both sides of the equation to eliminate the constant value of 2 (2 - 2 = 0). HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+2 = 3 strategic 6 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+2-2 = 3-2 strategic 1 OK clt 3-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3+2-2 = 1 strategic 1 OK clt x/3+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 1 strategic 1 BUG divide 3 To remove the coefficient of x/3, you need to divide by 1/3 or multiply by 3. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:30.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 1 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:31.0 HINT HINT ES_02 ES_02-7 EG41 x/3 = 1 strategic 3 NEXT_HINT In x/3, x is divided by 3. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 1 strategic 4 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 1*3 strategic 1 OK mt 1*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:22:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 3 strategic 1 OK mt x/3*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+x/3 = 7 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+x/3-1 = 7-1 strategic 1 OK clt 7-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+x/3-1 = 6 strategic 1 OK clt 1+x/3-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 6 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 6*3 strategic 1 OK mt 6*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 18 strategic 1 OK mt x/3*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10+4 = -4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10+4-4 = -4-4 strategic 1 OK clt -4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10+4-4 = -8 strategic 1 OK clt y/-10+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:23:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10 = -8 strategic 1 ERROR mt y/-10 = -8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10 = -8 strategic 2 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10*-10 = -8*-10 strategic 1 OK mt -8*-10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10*-10 = 80 strategic 1 ERROR clt y/-10*-10 = 80 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10*-10 = 80 strategic 2 OK mt y/-10*-10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -2+y/2 strategic 1 OK subtract -2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1-(-2) = -2+y/2-(-2) strategic 1 OK clt -1-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = -2+y/2-(-2) strategic 1 OK clt -2+y/2-(-2) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:24:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/2 strategic 1 BUG multiply 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:25:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/2 strategic 2 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:25:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*2 = y/2*2 strategic 1 OK mt 1*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:25:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = y/2*2 strategic 1 OK mt y/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:26:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+y/9 = 10 strategic 1 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:26:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+y/9-(-4) = 10-(-4) strategic 1 OK clt 10-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:26:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4+y/9-(-4) = 14 strategic 1 OK clt -4+y/9-(-4) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = 14 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 14*9 strategic 1 ERROR clt y/9*9 = 14*9 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 14*9 strategic 2 OK mt 14*9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = 126 strategic 1 OK mt y/9*9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/5-3 = -5 strategic 1 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/5-3-(-3) = -5-(-3) strategic 1 OK clt -5-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/5-3-(-3) = -2 strategic 1 OK clt x/5-3-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/5 = -2 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/5*5 = -2*5 strategic 1 OK mt -2*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:27:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/5*5 = -10 strategic 1 OK mt x/5*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:28:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10+x/3 = 10 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:28:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10+x/3-10 = 10-10 strategic 1 OK clt 10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:29:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10+x/3-10 = 0 strategic 1 OK clt 10+x/3-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:29:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3 = 0 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:29:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 0*3 strategic 1 OK mt 0*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:29:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 0 strategic 1 ERROR clt x/3*3 = 0 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:29:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/3*3 = 0 strategic 2 OK mt x/3*3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:30:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4 = -6 strategic 1 OK subtract -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:30:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 1 BUG typein -6+x/4 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:30:55.0 HINT HINT ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:30:56.0 HINT HINT ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 3 NEXT_HINT Type in -6+x/4-(-6) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 4 BUG typein -6+x/4-6 -6+x/4-6 is equal to -6+x/4 plus -6. You need to calculate -6+x/4 minus -6. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:10.0 HINT HINT ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:11.0 HINT HINT ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 6 NEXT_HINT Type in -6+x/4-(-6) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 7 ERROR typein -6+x/4(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:23.0 HINT HINT ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:24.0 HINT HINT ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 9 NEXT_HINT Type in -6+x/4-(-6) on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 10 OK typein -6+x/4-(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4-(-6) = -6-(-6) strategic 11 OK typein -6-(-6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:31:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4+6 = -6+6 strategic 1 OK clt -6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+x/4+6 = 0 strategic 1 OK clt -6+x/4+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 2 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:36.0 HINT HINT ES_02 ES_02-8 EG41 xR2 strategic 3 INITIAL_HINT x In the group above, you have [x/4]. Type [x/4] here. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 4 OK x/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 BUG -6 -6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 BUG -6 -6
Perhaps you should fill in all the constant terms above. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:50.0 HINT HINT ES_02 ES_02-8 EG41 constant termsR2 strategic 3 INITIAL_HINT -6 From the original equation at the top, select 6 and drag it to the constant terms box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:32:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 4 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x/4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = 0 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 0*4 strategic 1 OK typein x/4*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 0*4 strategic 2 OK typein 0*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 0*4 strategic 3 OK mt 0*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:33:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = 0 strategic 1 OK mt x/4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR x/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR x/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:15.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 INITIAL_HINT x/4 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:15.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT x/4 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK 4x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 4x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR 4x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:34:45.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT 4x Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK x*4/4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x*4/4 = 0 strategic 1 ERROR mt x*4/4 = 0 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:11.0 HINT HINT ES_02 ES_02-8 EG41 x*4/4 = 0 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:12.0 HINT HINT ES_02 ES_02-8 EG41 x*4/4 = 0 strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x*4/4 = 0 strategic 4 OK rf x*4/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:35:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 ERROR 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:36:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = y/-7-9 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:37:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-(-9) = y/-7-9-(-9) strategic 1 OK typein 8-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:37:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-(-9) = y/-7-9-(-9) strategic 2 ERROR typein -9-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:37:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-(-9) = y/-7-9-(-9) strategic 3 OK typein y/-7-9-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:37:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+9 = y/-7-9+9 strategic 1 OK clt 8+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:37:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 17 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17 = y/-7-9+9 strategic 1 ERROR mt 17 = y/-7-9+9 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17 = y/-7-9+9 strategic 2 OK clt y/-7-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK -y/7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 3 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK -y/7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:38:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -y/7 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:39:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17 = -y/7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:39:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17*7 = -y/7*7 strategic 1 OK typein 17*7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:39:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17*7 = -y/7*7 strategic 2 ERROR typein 17*-y/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:39:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17*7 = -y/7*7 strategic 3 OK typein 7*-y/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:39:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 17*7 = 7*-y/7 strategic 1 OK mt 17*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:39:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 119 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 1 BUG rf 119 = 7*-y/7 strategic You need to perform multiplication before you can simplify fractions. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 2 ERROR mt 7*-y default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant factors1R1 strategic 1 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant factors2R1 strategic 1 OK -1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant factorsR2 strategic 1 OK -7 default_condition perform-mult-row2-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 2 OK y default_condition perform-mult-row2-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:40:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -7y default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:41:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119 = -7y/7 strategic 1 OK multiply 7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:41:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119*7 = -7y/7*7 strategic 1 OK typein 119*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119*7 = -7y/7*7 strategic 2 OK typein -7y/7*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119*7 = -7y/7*7 strategic 3 OK mt 119*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 833 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833 = -7y/7*7 strategic 1 ERROR rf -7y/7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:42:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 BUG 1 1
Check the sign of your answer. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:43:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 ERROR -7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:43:00.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 INITIAL_HINT -7 The common factor between the numerator and denominator of [-7]/[7] is 7. This set of entry boxes represent the simplified form of [-7]/[7]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:43:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 5 OK -1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:43:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG y y
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 BUG y y
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 BUG y y
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833 = -7y/7*7 strategic 2 OK mt -7y/7*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -7y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:45.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 INITIAL_HINT You need to multiply the denominators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:44:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 ERROR 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:02.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 INITIAL_HINT 7 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 OK -49y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR -49y*7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 ERROR -49y*7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR -49y*7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR -49y*7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:45:53.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 14 INITIAL_HINT -49y*7 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:46:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK -49y/7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:46:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833 = -49y/7 strategic 1 OK multiply 7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:46:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833*7 = -49y/7*7 strategic 1 OK typein 833*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:46:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833*7 = -49y/7*7 strategic 2 OK typein -49y/7*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:46:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833*7 = -49y/7*7 strategic 3 OK mt 833*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 OK 5831 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 3 BUG rf 119 = 7*-y/7 strategic You need to perform multiplication before you can simplify fractions. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 4 ERROR clt 119 = 7*-y/7 strategic default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:25.0 HINT HINT ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 5 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:26.0 HINT HINT ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 6 NEXT_HINT In 7*-y/7, y is divided by 7. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:29.0 HINT HINT ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 7 NEXT_HINT Multiply both sides by 7. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119 = 7*-y/7 strategic 8 OK multiply 7 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:47:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119*7 = 7*-y/7*7 strategic 1 OK typein 833 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:48:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 119*7 = 7*-y/7*7 strategic 2 OK typein -7y/7*7 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:48:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833 = -7y/7*7 strategic 3 OK mt -7y/7*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:48:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 7 ERROR 49y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:48:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 8 OK -49y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:48:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:48:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 OK -49y/7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:49:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833 = -49y/7 strategic 2 ERROR mt 833 = -49y/7 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:49:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833 = -49y/7 strategic 3 OK multiply 7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:49:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833*7 = -49y/7*7 strategic 4 OK typein 5831 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:49:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 833*7 = -49y/7*7 strategic 5 OK typein -49y/7*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:49:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5,831 = -49y/7*7 strategic 1 OK mt -49y/7*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:50:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 9 OK -343y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:50:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:50:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 OK -343y/7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:50:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5,831 = -343y/7 strategic 1 OK multiply 7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:50:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5,831*7 = -343y/7*7 strategic 1 OK typein 5831*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:51:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5,831*7 = -343y/7*7 strategic 2 OK typein -343y/7*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:51:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5,831*7 = -343y/7*7 strategic 3 OK mt 5,831*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:51:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 OK 40817 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:51:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817 = -343y/7*7 strategic 1 OK mt -343y/7*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:52:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 5 OK 7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:52:01.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 10 INITIAL_HINT You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:52:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 11 OK -2401y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:52:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 20 OK -2401y/7 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:52:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817 = -2,401y/7 strategic 1 ERROR mt 40,817 = -2,401y/7 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:52:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817 = -2,401y/7 strategic 2 OK multiply 7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:53:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817*7 = -2,401y/7*7 strategic 1 OK typein 40,817*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:53:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817*7 = -2,401y/7*7 strategic 2 ERROR typein -2401y*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:53:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817*7 = -2,401y/7*7 strategic 3 OK typein -2401y/7*7 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session19 2005-11-30 08:53:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 40,817*7 = -2,401y/7*7 strategic 4 OK mt 40,817*7 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = y/4-9 strategic 1 OK subtract -9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-(-9) = y/4-9-(-9) strategic 1 OK typein -8-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-(-9) = y/4-9-(-9) strategic 2 OK typein y/4-9-(-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+9 = y/4-9+9 strategic 1 OK clt -8+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/4-9+9 strategic 1 OK clt y/4-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:37:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 2 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK y/4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*4 = y/4*4 strategic 1 OK typein 1*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*4 = y/4*4 strategic 2 OK typein y/4*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*4 = y/4*4 strategic 3 OK mt 1*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:38:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = y/4*4 strategic 1 OK mt y/4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 4y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 4y/4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = 4y/4 strategic 1 ERROR mt 4 = 4y/4 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = 4y/4 strategic 2 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*4 = 4y/4*4 strategic 1 OK typein 4*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*4 = 4y/4*4 strategic 2 OK typein 4y/4*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*4 = 4y/4*4 strategic 3 OK mt 4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 16 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:39:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 16 = 4y/4*4 strategic 1 OK mt 4y/4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 16y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK 16y/4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:18.0 HINT HINT ES_02 ES_02-8 EG41 16 = 16y/4 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:20.0 HINT HINT ES_02 ES_02-8 EG41 16 = 16y/4 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 16 = 16y/4 strategic 3 OK rf 16y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 16 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:40:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR 1*1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:02.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 14 INITIAL_HINT 1*1 Above is the simplified form of the expression 16y/4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 OK 4y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:15.0 HINT HINT ES_02 ES_02-8 EG41 16 = 4y strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:16.0 HINT HINT ES_02 ES_02-8 EG41 16 = 4y strategic 2 NEXT_HINT 4y is 4 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:19.0 HINT HINT ES_02 ES_02-8 EG41 16 = 4y strategic 3 NEXT_HINT Divide both sides by 4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 16 = 4y strategic 4 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 16/4 = 4y/4 strategic 1 OK typein 16/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 16/4 = 4y/4 strategic 2 OK typein 4y/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 16/4 = 4y/4 strategic 3 OK rf 16/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 ERROR 16 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR 4y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:41:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:02.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 INITIAL_HINT y The common factor between the numerator and denominator of [16]/[4] is 4. This set of entry boxes represent the simplified form of [16]/[4]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 5 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 20 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 21 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:23.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 22 INITIAL_HINT 1 Above is the simplified form of the expression 16/4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 23 OK 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:35.0 HINT HINT ES_02 ES_02-8 EG41 4 = 4y/4 strategic 3 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:37.0 HINT HINT ES_02 ES_02-8 EG41 4 = 4y/4 strategic 4 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = 4y/4 strategic 5 OK rf 4y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:42:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 ERROR 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 5 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 3 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 6 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 24 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:43:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+(y/-4) = -4 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+(y/-4)-8 = -4-8 strategic 1 ERROR typein (y/-4)+8(-8) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+(y/-4)-8 = -4-8 strategic 2 OK typein 8-8+(y/-4) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+(y/-4)-8 = -4-8 strategic 3 OK typein -4-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-8-y/4 = -4-8 strategic 1 OK clt -4-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:44:59.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 5 INITIAL_HINT -11 In the group above, you have [-4]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:00.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT -11 In the group above, you have [-4]+[-8]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK -12 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-8-y/4 = -12 strategic 1 OK clt 8-8-y/4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 2 BUG 8 8
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 8, is not one of the y terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 3 OK -y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 3 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK -y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:45:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK -y/4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4 = -12 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*4 = -12*4 strategic 1 OK typein -y/4*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*4 = -12*4 strategic 2 OK typein -12*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*4 = -12*4 strategic 3 OK mt -12*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK -48 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -y/4*4 = -48 strategic 1 OK mt -y/4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -4y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:46:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:47:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK -4y/4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:47:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/4 = -48 strategic 1 OK multiply 4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:47:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/4*4 = -48*4 strategic 1 OK typein -4y/4*4 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:47:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/4*4 = -48*4 strategic 2 OK typein -48*4 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:47:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/4*4 = -48*4 strategic 3 OK mt -48*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:47:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK -192 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/4*4 = -192 strategic 1 OK mt -4y/4*4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK -16y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK -16y/4 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -16y/4 = -192 strategic 1 OK rf -16y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -16 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:48:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 BUG 4 4
Check the sign of your answer. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 ERROR -y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 ERROR -y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 ERROR -y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:24.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 20 INITIAL_HINT 1 Above is the simplified form of the expression -16y/4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 21 OK -4y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:36.0 HINT HINT ES_02 ES_02-8 EG41 -4y = -192 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:37.0 HINT HINT ES_02 ES_02-8 EG41 -4y = -192 strategic 2 NEXT_HINT -4y is -4 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y = -192 strategic 3 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:49:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/-4 = -192/-4 strategic 1 BUG typein -4y/4 You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/-4 = -192/-4 strategic 2 OK typein -4y/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/-4 = -192/-4 strategic 3 OK typein -192/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/-4 = -192/-4 strategic 4 OK rf -192/-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 ERROR -192 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 ERROR -192 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 ERROR 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 5 ERROR 192 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:44.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 6 INITIAL_HINT 192 The common factor between the numerator and denominator of [-192]/[-4] is -4. This set of entry boxes represent the simplified form of [-192]/[-4]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:50:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 7 OK 48 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 ERROR 48 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 ERROR -48 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:18.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 22 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:27.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 5 INITIAL_HINT -48 The common factor between the numerator and denominator of [-192]/[-4] is -4. This set of entry boxes represent the simplified form of [-192]/[-4]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 6 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 23 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:42.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 24 INITIAL_HINT 1 Above is the simplified form of the expression -192/-4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 25 OK 48 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4y/-4 = 48 strategic 1 OK rf -4y/-4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:51:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 3 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 8 ERROR 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 9 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 10 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 3 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 4 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 7 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 8 ERROR 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 9 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 26 ERROR -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 27 ERROR -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 28 ERROR -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 29 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 30 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 31 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 32 ERROR -1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:50.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 33 INITIAL_HINT -1 Above is the simplified form of the expression -4y/-4. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:52:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 34 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session20 2005-12-02 08:54:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = y/4+5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:12:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5 = -8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 1 ERROR typein -8-8+y/5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:09.0 HINT HINT ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:11.0 HINT HINT ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 3 NEXT_HINT Type in 8+y/5-8 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 4 ERROR typein 8-y/5+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:29.0 HINT HINT ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 5 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:30.0 HINT HINT ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 6 NEXT_HINT Type in 8+y/5-8 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 7 OK typein 8+y/5-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:13:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 8 OK typein -8-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5-8 = -8-8 strategic 9 OK clt -8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -16 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8+y/5-8 = -16 strategic 1 OK clt 8+y/5-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK +y/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:14:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:15:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK y/5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:15:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = -16 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:15:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -16*5 strategic 1 OK typein y/5*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:15:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -16*5 strategic 2 BUG typein 16*5 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:15:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -16*5 strategic 3 OK typein -16*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:16:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -16*5 strategic 4 OK mt -16*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:16:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR 80 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:16:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR 80 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:16:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR 80 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:16:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR 80 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK -80 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -80 strategic 1 OK mt y/5*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 5y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -80 strategic 2 OK mt y/5*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 OK 5y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK 5y/5 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -80 strategic 1 ERROR mt 5y/5 = -80 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:35.0 HINT HINT ES_02 ES_02-8 EG41 5y/5 = -80 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -80 strategic 3 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:17:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5*5 = -80*5 strategic 1 OK typein 5y/5*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5*5 = -80*5 strategic 2 OK typein -80*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5*5 = -80*5 strategic 3 OK mt -80*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 OK -400 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5*5 = -400 strategic 1 OK mt 5y/5*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 OK 25y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 25y/5 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:41.0 HINT HINT ES_02 ES_02-8 EG41 25y/5 = -400 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:43.0 HINT HINT ES_02 ES_02-8 EG41 25y/5 = -400 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 25y/5 = -400 strategic 3 OK rf 25y/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 25 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:18:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 ERROR 25 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 25 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK 5y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:39.0 HINT HINT ES_02 ES_02-8 EG41 5y = -400 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:41.0 HINT HINT ES_02 ES_02-8 EG41 5y = -400 strategic 2 NEXT_HINT 5y is 5 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y = -400 strategic 3 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:19:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -400/5 strategic 1 BUG typein 5y You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -400/5 strategic 2 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -400/5 strategic 3 OK typein -400/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -400/5 strategic 4 OK rf -400/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 ERROR -400 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 ERROR -400 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 ERROR 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 5 ERROR 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:29.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 6 INITIAL_HINT 5 The common factor between the numerator and denominator of [-400]/[5] is 5. This set of entry boxes represent the simplified form of [-400]/[5]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:30.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 7 INITIAL_HINT 5 The common factor between the numerator and denominator of [-400]/[5] is 5. This set of entry boxes represent the simplified form of [-400]/[5]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:20:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 8 OK -80 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR -400 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 ERROR -400 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:06.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 INITIAL_HINT -400 The common factor between the numerator and denominator of [-400]/[5] is 5. This set of entry boxes represent the simplified form of [-400]/[5]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 5 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 18 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:40.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 19 INITIAL_HINT 1 Above is the simplified form of the expression -400/5. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 20 OK -80 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5y/5 = -80 strategic 4 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:21:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 5 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 9 ERROR 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 10 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 3 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 6 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 21 ERROR 5 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 22 ERROR 5 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 23 ERROR 5 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 24 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 25 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 26 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 27 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 28 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 29 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:29.0 HINT HINT ES_02 ES_02-8 EG41 y = -80 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:31.0 HINT HINT ES_02 ES_02-8 EG41 y = -80 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:22:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+y/2 = -7 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+y/2-5 = -7-5 strategic 1 ERROR typein 5-y/2+5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:18.0 HINT HINT ES_02 ES_02-8 EG41 5+y/2-5 = -7-5 strategic 2 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:19.0 HINT HINT ES_02 ES_02-8 EG41 5+y/2-5 = -7-5 strategic 3 NEXT_HINT Type in 5+y/2-5 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+y/2-5 = -7-5 strategic 4 OK typein 5+y/2-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+y/2-5 = -7-5 strategic 5 OK typein -7-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+y/2-5 = -7-5 strategic 6 OK clt -7-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -12 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:23:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+y/2-5 = -12 strategic 1 OK clt 5+y/2-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y1R1 strategic 1 OK y/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 YR2 strategic 1 OK y/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK y/2 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2 = -12 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = -12*2 strategic 1 OK typein y/2*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = -12*2 strategic 2 BUG typein 12*2 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = -12*2 strategic 3 OK typein -12*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = -12*2 strategic 4 OK mt -12*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR 24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR 24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 ERROR 24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:24:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 OK -24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2*2 = -24 strategic 1 OK mt y/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 2y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK 2y/2 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2y/2 = -24 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = -10+x/6 strategic 1 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:58.0 HINT HINT ES_02 ES_02-8 EG41 3 = -10+x/6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:25:59.0 HINT HINT ES_02 ES_02-8 EG41 3 = -10+x/6 strategic 3 NEXT_HINT -10 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -10 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:26:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = -10+x/6 strategic 4 BUG subtract 10 Since -10 is negative, you should add to remove it from the right side. Erase your last step and add 10 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:26:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = -10+x/6 strategic 5 OK subtract -10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:26:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-(-10) = -10+x/6-(-10) strategic 1 OK typein 3-(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:26:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-(-10) = -10+x/6-(-10) strategic 2 ERROR typein 10+x/6-(-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3-(-10) = -10+x/6-(-10) strategic 3 OK typein 10+x/6-10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+10 = 10+x/6-10 strategic 1 OK clt 3+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 13 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13 = 10+x/6-10 strategic 1 OK clt 10+x/6-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 BUG + +
Like terms look similar, such as all constants or x^2 terms. The term you dragged, +, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 2 OK 10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x/6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13 = x/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:27:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13*6 = x/6*6 strategic 1 OK typein 13*6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13*6 = x/6*6 strategic 2 OK typein x/6*6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 13*6 = x/6*6 strategic 3 OK mt 13*6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK 78 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 78 = x/6*6 strategic 1 OK mt x/6*6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 6x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 6x/6 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 78 = 6x/6 strategic 1 OK rf 6x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:28:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:29:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -4+(x/-6) strategic 1 BUG subtract -8 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:29:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -4+(x/-6) strategic 2 OK subtract -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:29:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-(-4) = -4+(x/-6)-(-4) strategic 1 OK typein -8-(-4) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:29:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-(-4) = -4+(x/-6)-(-4) strategic 2 OK typein -4+x/-6-(-4) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:29:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+4 = -4-x/6+4 strategic 1 OK clt -8+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:29:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -4-x/6+4 strategic 1 OK clt -4-x/6+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 2 OK -x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK +4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK -x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -x/6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -x/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*6 = -x/6*6 strategic 1 OK typein -4*6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*6 = -x/6*6 strategic 2 OK typein -x/6*6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:30:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*6 = -x/6*6 strategic 3 OK mt -4*6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -24 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = -x/6*6 strategic 1 OK mt -x/6*6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK -6x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK -6x/6 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = -6x/6 strategic 1 ERROR rds -24 = -6x/6 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = -6x/6 strategic 2 OK rf -6x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 BUG 1 1
Check the sign of your answer. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK -1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:31:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 BUG -1 -1
Check the sign of your answer. BUG default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 BUG x x
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 BUG x x
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 BUG x x
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 OK -x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = -x strategic 1 BUG divide -24 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:28.0 HINT HINT ES_02 ES_02-8 EG41 -24 = -x strategic 2 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:30.0 HINT HINT ES_02 ES_02-8 EG41 -24 = -x strategic 3 NEXT_HINT -x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:35.0 HINT HINT ES_02 ES_02-8 EG41 -24 = -x strategic 4 INITIAL_HINT default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:36.0 HINT HINT ES_02 ES_02-8 EG41 -24 = -x strategic 5 NEXT_HINT -x is -1 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:39.0 HINT HINT ES_02 ES_02-8 EG41 -24 = -x strategic 6 NEXT_HINT Divide both sides by -1. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24 = -x strategic 7 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:32:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24/-1 = -x/-1 strategic 1 OK typein -24/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24/-1 = -x/-1 strategic 2 OK typein -x/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24/-1 = -x/-1 strategic 3 OK rf -24/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 BUG -24 -24
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 BUG -24 -24
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 BUG -24 -24
Check the sign of your answer. BUG default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:36.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 12 INITIAL_HINT -24 Above is the simplified form of the expression -24/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 OK 24 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -24/-1 = -x/-1 strategic 4 OK rf -24/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 OK 24 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:33:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 24 = -x/-1 strategic 1 OK rf -x/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 15 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:04.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 18 INITIAL_HINT 1 Above is the simplified form of the expression -X/-1. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 19 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = x/5+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:34:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-9 = x/5+9-9 strategic 1 OK typein -10-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-9 = x/5+9-9 strategic 2 OK typein x/5+9-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10-9 = x/5+9-9 strategic 3 OK clt -10-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -19 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -19 = x/5+9-9 strategic 1 OK clt x/5+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x1R1 strategic 1 OK x/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms1R1 strategic 1 OK 9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant terms2R1 strategic 1 OK -9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x/5 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -19 = x/5 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -19*5 = x/5*5 strategic 1 OK typein -19*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:35:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -19*5 = x/5*5 strategic 2 OK typein x/5*5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -19*5 = x/5*5 strategic 3 OK mt -19*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK -95 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -95 = x/5*5 strategic 1 OK mt x/5*5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK 5x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK 5x/5 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -95 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:36:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -95 = x strategic 1 BUG divide -1 You already solved the equation. x is -95. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:31.0 HINT HINT ES_02 ES_02-8 EG41 -95 = x strategic 2 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:32.0 HINT HINT ES_02 ES_02-8 EG41 -95 = x strategic 3 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -6/y strategic 1 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:51.0 HINT HINT ES_02 ES_02-9 EG44 2 = -6/y strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:52.0 HINT HINT ES_02 ES_02-9 EG44 2 = -6/y strategic 3 NEXT_HINT -6/y is -6 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:37:56.0 HINT HINT ES_02 ES_02-9 EG44 2 = -6/y strategic 4 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -6/y strategic 5 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y = -6/y*y strategic 1 OK mt -6/y*y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y = -6 strategic 1 ERROR divide -1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:21.0 HINT HINT ES_02 ES_02-9 EG44 2y = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:22.0 HINT HINT ES_02 ES_02-9 EG44 2y = -6 strategic 3 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:25.0 HINT HINT ES_02 ES_02-9 EG44 2y = -6 strategic 4 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y = -6 strategic 5 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2 = -6/2 strategic 1 OK rf -6/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2 = -3 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2*2 = -3*2 strategic 1 OK mt -3*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:38:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2*2 = -6 strategic 1 OK mt 2y/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:39:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/2 = -6 strategic 1 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:39:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/2 = -6 strategic 2 OK rf 4y/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:39:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y = -6 strategic 6 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2 = -6/2 strategic 2 OK rf -6/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2 = -3 strategic 2 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2*2 = -3*2 strategic 2 OK mt -3*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2y/2*2 = -6 strategic 2 OK mt 2y/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/2 = -6 strategic 3 OK multiply 2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/2*2 = -6*2 strategic 1 OK mt -6*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/2*2 = -12 strategic 1 OK mt 4y/2*2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:52.0 HINT HINT ES_02 ES_02-9 EG44 8y/2 = -12 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:53.0 HINT HINT ES_02 ES_02-9 EG44 8y/2 = -12 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:40:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y/2 = -12 strategic 3 OK rf 8y/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:02.0 HINT HINT ES_02 ES_02-9 EG44 4y = -12 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:03.0 HINT HINT ES_02 ES_02-9 EG44 4y = -12 strategic 2 NEXT_HINT 4y is 4 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:07.0 HINT HINT ES_02 ES_02-9 EG44 4y = -12 strategic 3 NEXT_HINT Divide both sides by 4. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y = -12 strategic 4 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = -12/4 strategic 1 OK rf -12/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = -3 strategic 1 ERROR divide 4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:32.0 HINT HINT ES_02 ES_02-9 EG44 4y/4 = -3 strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:33.0 HINT HINT ES_02 ES_02-9 EG44 4y/4 = -3 strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = -3 strategic 4 OK rf 4y/4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 10/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:41:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = 10/x*x strategic 1 OK mt 10/x*x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = 10 strategic 1 ERROR divide x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:10.0 HINT HINT ES_02 ES_02-9 EG44 -8x = 10 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:11.0 HINT HINT ES_02 ES_02-9 EG44 -8x = 10 strategic 3 NEXT_HINT -8x is -8 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:15.0 HINT HINT ES_02 ES_02-9 EG44 -8x = 10 strategic 4 NEXT_HINT Divide both sides by -8. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x = 10 strategic 5 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x/-8 = 10/-8 strategic 1 OK rf 10/-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8x/-8 = -5/4 strategic 1 OK rf -8x/-8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = 3/x strategic 1 ERROR mt 10 = 3/x strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = 3/x strategic 2 BUG subtract 10 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:42:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = 3/x strategic 3 ERROR subtract x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:43:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = 3/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:43:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10x = 3/x*x strategic 1 OK mt 3/x*x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:43:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10x = 3 strategic 1 ERROR divide x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:43:18.0 HINT HINT ES_02 ES_02-9 EG44 10x = 3 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:44:42.0 HINT HINT ES_02 ES_02-9 EG44 10x = 3 strategic 3 NEXT_HINT 10x is 10 times x. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:44:46.0 HINT HINT ES_02 ES_02-9 EG44 10x = 3 strategic 4 NEXT_HINT Divide both sides by 10. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:44:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10x = 3 strategic 5 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:44:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10x/10 = 3/10 strategic 1 OK rf 10x/10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:05.0 HINT HINT ES_02 ES_02-9 EG44 x = 3/10 strategic 1 INITIAL_HINT default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:06.0 HINT HINT ES_02 ES_02-9 EG44 x = 3/10 strategic 2 NEXT_HINT Select 'Classify Solution: Unique Solution'. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/y = -9 strategic 1 ERROR subtract y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:24.0 HINT HINT ES_02 ES_02-9 EG44 -7/y = -9 strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:25.0 HINT HINT ES_02 ES_02-9 EG44 -7/y = -9 strategic 3 NEXT_HINT -7/y is -7 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/y = -9 strategic 4 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/y*y = -9y strategic 1 OK mt -7/y*y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -9y strategic 1 BUG divide -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:48.0 HINT HINT ES_02 ES_02-9 EG44 -7 = -9y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:49.0 HINT HINT ES_02 ES_02-9 EG44 -7 = -9y strategic 3 NEXT_HINT -9y is -9 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:52.0 HINT HINT ES_02 ES_02-9 EG44 -7 = -9y strategic 4 NEXT_HINT Divide both sides by -9. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:45:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -9y strategic 5 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/-9 = -9y/-9 strategic 1 OK rf -7/-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/9 = -9y/-9 strategic 1 OK rf -9y/-9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 3/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = 3/y*y strategic 1 OK mt 3/y*y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = 3 strategic 1 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:36.0 HINT HINT ES_02 ES_02-9 EG44 9y = 3 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:36.0 HINT HINT ES_02 ES_02-9 EG44 9y = 3 strategic 3 NEXT_HINT 9y is 9 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y = 3 strategic 4 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:46:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y/9 = 3/9 strategic 1 OK rf 3/9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:47:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9y/9 = 1/3 strategic 1 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:47:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:47:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2x = -7/x*x strategic 1 OK mt -7/x*x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:47:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2x = -7 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:47:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2x/2 = -7/2 strategic 1 OK rf 2x/2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:48:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x = 10 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:48:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x*x = 10x strategic 1 OK mt -8/x*x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:48:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 10x strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:48:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/10 = 10x/10 strategic 1 OK rf -8/10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:48:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/5 = 10x/10 strategic 1 OK rf 10x/10 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:48:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = 6/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = 6/x*x strategic 1 OK typein 6*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = 6/x*x strategic 2 ERROR typein 6x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = 6/x*x strategic 3 OK typein 6/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = 6/x*x strategic 4 OK mt 6/x*x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 6x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR 6x/1x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR 6x/1x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR 6x/1x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK 6x/x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:47.0 HINT HINT ES_02 ES_02-10 EG44 6x = 6x/x strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:48.0 HINT HINT ES_02 ES_02-10 EG44 6x = 6x/x strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = 6x/x strategic 3 OK rf 6x/x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:49:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:33.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 9 INITIAL_HINT x Above is the simplified form of the expression 6x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 OK 6 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x = 6 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x/6 = 6/6 strategic 1 OK typein 6x/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x/6 = 6/6 strategic 2 OK typein 6/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:50:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x/6 = 6/6 strategic 3 OK rf 6/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 ERROR 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 6 ERROR 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:06.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 7 INITIAL_HINT 0 The common factor between the numerator and denominator of [6]/[6] is 6. This set of entry boxes represent the simplified form of [6]/[6]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 8 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 OK 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6x/6 = 1 strategic 1 OK rf 6x/6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 2 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 ERROR 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 3 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 9 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 3 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:51:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x = -1 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = -1x strategic 1 BUG typein -8/x You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = -1x strategic 2 OK typein -8/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = -1x strategic 3 BUG typein -1*1 You forgot the x. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = -1x strategic 4 OK typein -1*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/x*x = -1x strategic 5 OK mt -8/x*x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -8x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK 1x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -8x/1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -8x/1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -8x/1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:52:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 OK -8x/x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/x = -1x strategic 1 OK rf -8x/x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:30.0 HINT HINT ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 INITIAL_HINT x The common factor between the numerator and denominator of [-8]/[1] is 1. This set of entry boxes represent the simplified form of [-8]/[1]. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK -8 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR x default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 ERROR -x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 ERROR -x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 ERROR -x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:53:57.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 11 INITIAL_HINT -x Above is the simplified form of the expression -8x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK -8 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -1x strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-1 = -1x/-1 strategic 1 OK typein -8/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-1 = -1x/-1 strategic 2 OK typein -1x/-1 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-1 = -1x/-1 strategic 3 ERROR mt -8/-1 = -1x/-1 strategic default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8/-1 = -1x/-1 strategic 4 OK rf -8/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 OK 8 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = -1x/-1 strategic 1 OK rf -1x/-1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:54:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 14 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session21 2005-12-07 08:55:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = -9/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:00:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y = 5 strategic 1 BUG multiply -4 To remove the coefficient of -4/y, you need to divide. Erase your last step and then divide both sides by -4. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y = 5 strategic 2 ERROR divide -4 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:05.0 HINT HINT ES_02 ES_02-10 EG44 -4/y = 5 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:07.0 HINT HINT ES_02 ES_02-10 EG44 -4/y = 5 strategic 4 NEXT_HINT -4/y is -4 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:10.0 HINT HINT ES_02 ES_02-10 EG44 -4/y = 5 strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y = 5 strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = 5y strategic 1 OK typein -4/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = 5y strategic 2 OK typein 5*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/y*y = 5y strategic 3 OK mt -4/y*y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -4y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -4y/y1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:01:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4y/y*1 = 5y strategic 1 OK mt -4y/y*1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -4y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK y1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -4y/1y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -4y/1y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR -4y/1y default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK -4y/y1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:26.0 HINT HINT ES_02 ES_02-10 EG44 -4y/y*1 = 5y strategic 2 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:27.0 HINT HINT ES_02 ES_02-10 EG44 -4y/y*1 = 5y strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4y/y*1 = 5y strategic 4 ERROR rf -4y/y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK -4 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:02:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:05.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 10 INITIAL_HINT y Above is the simplified form of the expression -4y/y. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 OK -4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4*1 = 5y strategic 1 OK mt -4*1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 OK -4 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = 5y strategic 1 BUG divide -4 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:33.0 HINT HINT ES_02 ES_02-10 EG44 -4 = 5y strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:34.0 HINT HINT ES_02 ES_02-10 EG44 -4 = 5y strategic 3 NEXT_HINT 5y is 5 times y. How do you undo multiplication? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:03:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = 5y strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/5 = 5y/5 strategic 1 OK typein -4/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/5 = 5y/5 strategic 2 OK typein 5y/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/5 = 5y/5 strategic 3 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 3 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y = -3 strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:04:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y = -3 strategic 2 BUG divide -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:01.0 HINT HINT ES_02 ES_02-10 EG44 -3/y = -3 strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:03.0 HINT HINT ES_02 ES_02-10 EG44 -3/y = -3 strategic 4 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:04.0 HINT HINT ES_02 ES_02-10 EG44 -3/y = -3 strategic 5 NEXT_HINT -3/y is -3 divided by y. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y = -3 strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = -3y strategic 1 OK typein -3/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = -3y strategic 2 OK typein -3*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/y*y = -3y strategic 3 OK mt -3/y*y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -3y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -3y/y1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/y*1 = -3y strategic 1 OK mt -3y/y*1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -3y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:05:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 OK y1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -3y/y1 default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/y*1 = -3y strategic 2 ERROR rf -3y/y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3*1 = -3y strategic 1 OK mt -3*1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK -3 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:06:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = -3y strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/-3 = -3y/-3 strategic 1 OK typein -3/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/-3 = -3y/-3 strategic 2 OK typein -3y/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/-3 = -3y/-3 strategic 3 OK rf -3/-3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 ERROR 0 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:41.0 HINT HINT ES_02 ES_02-10 EG44 1 = -3y/-3 strategic 1 INITIAL_HINT default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:42.0 HINT HINT ES_02 ES_02-10 EG44 1 = -3y/-3 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = -3y/-3 strategic 3 OK rf -3y/-3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 2 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 ERROR 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 5 OK -3 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:07:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 ERROR y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 3 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK y default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 4 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 9 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 10 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 11 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 12 ERROR -3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 13 ERROR -3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 14 ERROR -3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 15 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 16 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 17 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 18 ERROR 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:20.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 19 INITIAL_HINT 1 Above is the simplified form of the expression -3y/-3. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra M7hLaVJGvX session22 2005-12-09 10:08:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 20 OK y default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra XJyS25Yg27 session5 2005-09-30 08:31:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK the time in hours default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:31:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:31:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK f default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK the total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:32:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:32:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50f+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:32:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:32:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:33:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 192 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:33:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:33:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5f+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5F+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F+90.75 = 192.75 strategic 1 ERROR clt 25.5F+90.75 = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F+90.75 = 192.75 strategic 2 ERROR subtract 255 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:40.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F+90.75 = 192.75 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:41.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F+90.75 = 192.75 strategic 4 NEXT_HINT 90.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 90.75 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F+90.75 = 192.75 strategic 5 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:35:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:35:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 25.5F+90.75=2385.75 25.5F+90.75=2385.75
Please check to make sure that 25.5F+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:35:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5F = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:36:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK the amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:36:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 BUG carpet carpet
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count CARPET? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:36:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 2 OK sq. yard default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:36:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK v default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK the total cost in dollars default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:37:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:37:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95v default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:37:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:38:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:38:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:38:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 ERROR 1360 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:38:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 2 OK 1036 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:38:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 1 OK 12.95v=388.5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:38:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 2 OK 12.95V=388.5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:39:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95V = 388.5 strategic 1 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:39:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 3 OK 12.95V=1036 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:39:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 12.95V = 1036 strategic 1 OK divide 12.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:39:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:42:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 1 OK the amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:42:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:42:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 OK e default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:42:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:43:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 ERROR 1e+5 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:03.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 2 INITIAL_HINT 1e+5 Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:04.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 3 NEXT_HINT First consider the initial value of total number of travel points. Next consider how total number of travel points will change for each dollar. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:07.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of total number of travel points plus the change in total number of travel points for each dollar times the amount spent on long distance. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 5 BUG 1e+5000 1e+5000
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 6 ERROR 1e+-5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:33.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R3C2 7 NEXT_HINT Write an expression that means the same thing as 5000 plus 5 times the amount spent on long distance. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 8 BUG 5000 5000
Total number of travel points starts at 5000. How does it increase as E increases? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:44:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 9 OK 5000+5e default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 1 ERROR 27.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 3 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 4 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:35.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 5 INITIAL_HINT 30 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:37.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 6 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:40.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 7 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:46.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 1 INITIAL_HINT 46000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 46000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 8 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:50.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R6C1 2 NEXT_HINT You know that the expression 5E + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5E + 5000 output the given value of 46000 points? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 9 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:45:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 10 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 11 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:46:00.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 12 INITIAL_HINT 30 In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:46:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 13 OK 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:46:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:46:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:47:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 14 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:54:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 1 BUG 5x+5000=46000 5x+5000=46000
Please check to make sure that 5x+5000=46000 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:55:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 3 BUG e e
You entered E in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:55:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5x+5000 = 46000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:55:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5x = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:55:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 4 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:56:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 2 BUG 5x+5000=27000 5x+5000=27000
Please check to make sure that 5x+5000=27000 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:56:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5x+5000 = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:56:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 5x = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:56:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 1 ERROR 44000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session5 2005-09-30 08:56:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 2 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:44:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 1 OK the area of construction default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:44:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 1 BUG area area
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count AREA? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:44:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 2 ERROR meters default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 3 OK sq. feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:44:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 1 OK f default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:45:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 1 OK cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:45:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:45:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 1 OK 43.50f default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 1 OK 1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:45:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 1 OK 160+95 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:45:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C2 1 OK 239250.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:46:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C2 1 OK 12049.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:46:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 1 OK 43.5f=239250 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:46:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 2 OK 43.5F=239250 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:46:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5F = 239250 strategic 1 BUG subtract 239250 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:46:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5F = 239250 strategic 2 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:47:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 1 OK 5500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:47:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 3 BUG 43.5F=12049 43.5F=12049
Please check to make sure that 43.5F=12049 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:47:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 4 OK 43.5F=12049.5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:47:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B 43.5F = 12049.5 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:47:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 1 OK 277 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:48:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK the time from now default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:48:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 2 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:48:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:49:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK the total distance default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:49:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 OK 1300h+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:49:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 BUG .75 .75
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:50:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 OK .5 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR .45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:50:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:50:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 3 INITIAL_HINT .45 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:50:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 4 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:51:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 5 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:51:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 6 BUG 3/4 3/4
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:51:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 ERROR .75 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:51:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 OK 3/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:51:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 7 OK 1.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:52:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 BUG 1300h+775=3500 1300H+775=3500
Please check to make sure that 1300H+775=3500 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:52:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H+775 = 3500 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:52:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300H = 2725 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 OK 109/52 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:53:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 OK the number of students enrolled in algebra default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:53:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 OK the number of students recieving an a or b default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:53:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 ERROR 12%s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:28.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 2 INITIAL_HINT 12%s Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 3 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 4 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C R3C2 5 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So percent is the same as 0.12 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 6 OK .12s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 OK 175 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:54:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C2 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C2 1 OK 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 2 OK 0.12S=12 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 1 OK 0.12s=12 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:25.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 12 strategic 2 OK divide .12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 OK 100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C ValidEquations 3 OK 0.12S=75 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C 0.12S = 75 strategic 1 OK divide .12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:55:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 OK 625 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session6 2005-10-05 08:56:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C1 1 OK the number of people default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:23:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C2 1 OK the cost of the cake default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:23:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:23:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C1 1 BUG 50 50
You entered 50 in the wrong row. BUG default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 1 BUG 120 120
You entered 120 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 1 ERROR 50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 2 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C1 2 OK k default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C2 1 OK 29 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:24:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C2 1 OK 108.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:25:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 2 OK 1.45k default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A ValidEquations 1 OK 1.45k=29 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A ValidEquations 2 OK 1.45K=29 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:26:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A 1.45K = 29 strategic 1 OK divide 1.45 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:26:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:26:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A ValidEquations 3 OK 1.45K=108.75 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:27:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A 1.45K = 108.75 strategic 1 OK divide 1.45 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:27:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C1 1 OK 75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:27:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R1C1 1 OK the gross pay default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:27:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:27:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C1 1 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:28:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R1C2 1 OK the take-home pay default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:28:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:28:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R3C2 1 OK .62d default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:29:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R4C1 1 OK 6000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:29:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R5C1 1 OK 45000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:29:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R6C2 1 OK 3100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:29:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R7C2 1 OK 1534.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:29:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 1 OK 0.62d=3100 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:29:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 2 OK 0.62D=3100 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:30:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C 0.62D = 3100 strategic 1 OK divide .62 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:30:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R6C1 1 OK 5000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:30:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C ValidEquations 3 OK 0.62D=1534.5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:30:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C 0.62D = 1534.5 strategic 1 OK divide .62 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:30:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05C R7C1 1 OK 2475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:31:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C1 1 OK hours worked default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:31:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:31:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:32:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C2 1 BUG dollars payed dollars payed
You are on the right track with dollars, but you need a more specific label. Try the money earned. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:32:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C2 2 OK the money earned default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:32:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:32:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C2 1 OK 11.25h default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:32:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R4C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:32:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 1 OK 42.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C2 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C2 1 OK 781.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 2 OK 11.25H=1000 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 1 OK 11.25h=1000 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25H = 1000 strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C1 1 OK 88.88893 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:33:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 3 OK 11.25H=781.25 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:34:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 11.25H = 781.25 strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:34:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C1 1 OK 69.4444 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK the number of snow cones default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK the profit default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 OK .5s-50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:35:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK 0.5s-50=300 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK 0.5S-50=300 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 300 strategic 1 BUG subtract 300 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 300 strategic 2 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 S-100 = 600 strategic 1 BUG subtract 100 Since -100 is negative, you should add to remove it from the left side. Erase your last step and add 100 to both sides. BUG default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 S-100 = 600 strategic 2 OK add 100 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:36:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 ERROR 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:37:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 2 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:37:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 3 OK 0.5S-50=153.5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S-50 = 153.5 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:37:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:37:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 1 OK the length of the mobile telephone default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 1 OK the total cost of the call default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 1 ERROR .50+3.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 2 OK .50m+3.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 1 OK 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:38:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 1 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C2 1 OK 7.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C2 1 OK 23.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 2 OK 0.5M+3=7 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 1 OK 0.5m+3=7 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 7 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C M+6 = 14 strategic 1 OK subtract 6 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 1 OK 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 3 OK 0.5M+3=23.5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5M+3 = 23.5 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:39:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C M+6 = 47 strategic 1 OK subtract 6 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:40:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 1 OK 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:40:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK the cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:41:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:41:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK e default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:42:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK the total cost of the order default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR .15e default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR 10e+.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 ERROR 10e-.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:36.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 4 INITIAL_HINT 10e-.15 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:37.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 5 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:41.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 6 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 15%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:43:46.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 7 NEXT_HINT Discounting each item in the order by 15%. means subtracting 0.15 times the cost of the items. So the discount is 0.15E. Since the discount is subtracted from the cost of the items, the total cost of the order will be E-0.15E. Don't forget the flat fee of $10 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:44:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 8 BUG E-.15E E-.15E
The total cost of the order increases by 0.85 each dollar, but remember that it starts at 10 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:44:03.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 9 NEXT_HINT Write an expression that means the cost of the items minus 0.15 times the cost of the items plus the flat fee of $10 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:44:07.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 10 NEXT_HINT Enter E-0.15E+10 (you could also enter 0.85E + 10, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:44:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 11 ERROR E-0.15E+10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session7 2005-10-07 08:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 12 OK .85e+10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:30:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:31:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:31:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 BUG 116.25 116.25
You entered 116.25 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:31:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 ERROR 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:31:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 2 OK 180 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:32:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 1 BUG 8500000000x*0=116.25 8500000000x*0=116.25
Please check to make sure that 8500000000x*0=116.25 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8500000000x*0 = 116.25 strategic 1 ERROR subtract 8500000000 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8500000000x*0 = 116.25 strategic 2 ERROR multiply 8500000000 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:21.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 8500000000x*0 = 116.25 strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:22.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 8500000000x*0 = 116.25 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8500000000x*0 = 116.25 strategic 5 OK mt 8500000000x*0 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0 = 116.25 strategic 1 BUG divide 116.25 You want to isolate -something- by removing 116.25 from the right side. 116.25 is added to -something-. What is the opposite of addition? BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:41.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0 = 116.25 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:43.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0 = 116.25 strategic 3 NEXT_HINT Since 0 never equals 116.25, no value of x will make this equation true. 8500000000x*0 is never equal to 116.25. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 2 ERROR 0 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 3 ERROR 166.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:33:54.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 4 INITIAL_HINT 166.25 116.25 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 116.25 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 5 BUG 116.25 116.25
You entered 116.25 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0 = 116.25 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:12.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0 = 116.25 strategic 5 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:13.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B 0 = 116.25 strategic 6 NEXT_HINT Since 0 never equals 116.25, no value of x will make this equation true. 8500000000x*0 is never equal to 116.25. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 2 BUG 8500000000x*0=116.25 8500000000x*0=116.25
Please check to make sure that 8500000000x*0=116.25 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 3 BUG 8500000000*0x=116.25 8500000000*0x=116.25
Please check to make sure that 8500000000*0x=116.25 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8500000000*0x = 116.25 strategic 1 ERROR rf 8500000000*0x = 116.25 strategic default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:34:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8500000000*0x = 116.25 strategic 2 OK mt 8500000000*0x default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:36:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 4 BUG 8500000000x=116.25 8500000000x=116.25
Please check to make sure that 8500000000x=116.25 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:39:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 5 BUG 8.5x=116.25 8.5x=116.25
Please check to make sure that 8.5x=116.25 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8.5x = 116.25 strategic 1 ERROR mt 8.5x = 116.25 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:39:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8.5x = 116.25 strategic 2 BUG subtract 8.5 In 8.5x, x is multiplied by 8.5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:39:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 8.5x = 116.25 strategic 3 OK divide 8.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:39:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 6 ERROR 13.6765 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:39:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 7 ERROR 13.6765 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 8 ERROR 13.6765 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:00.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 9 INITIAL_HINT 13.6765 You know that the expression 0.85E + 10 represents the total cost of the order. What value of the cost of the items will make the general expression 0.85E + 10 output the given value of 116.25 dollars? HINT 2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 10 NEXT_HINT Since the general expression for the total cost of the order is 0.85E + 10 and since the total cost of the order in this question is 116.25, set the two of them equal to find the cost of the items. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:09.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R6C1 11 NEXT_HINT Solve the equation 0.85E + 10 = 116.25. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 12 ERROR 13.6765 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 6 BUG 0.85x+10=116.25 0.85x+10=116.25
Please check to make sure that 0.85x+10=116.25 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 116.25 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 106.25 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 13 OK 125 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:40:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 7 BUG 0.85x+10=180 0.85x+10=180
Please check to make sure that 0.85x+10=180 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:41:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 180 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:41:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 170 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:41:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK the cellular phone time default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:41:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:41:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:42:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 OK the balance on the next bill default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:42:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 BUG .23m+7.87 .23m+7.87
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 2 ERROR 7.87-.23m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 3 ERROR 7.87-.23m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:04.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 4 INITIAL_HINT 7.87-.23m Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:05.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 5 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:14.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:17.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15 R3C2 7 NEXT_HINT Write an expression that means the same thing as -7.87 dollars plus 0.23 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 8 OK -7.87+.23m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 OK 38.13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:44:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK -7.87+0.23m=38.13 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK -7.87+0.23M=38.13 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23M = 38.13 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23M = 46 strategic 1 OK divide .23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 3 OK -7.87+0.23M=25 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:45:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 -7.87+0.23M = 25 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:46:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23M = 32.87 strategic 1 OK divide .23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 1 OK the number of hours from now default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:48:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:50:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:50:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 1 OK the temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:50:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 1 BUG degrees DEGREES
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:51:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 2 OK celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 ERROR -33+.5s default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 2 ERROR -33+.5s default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:23.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 3 INITIAL_HINT -33+.5s Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:24.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 4 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:32.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 5 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:37.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 6 NEXT_HINT Write an expression that means the same thing as -33 minus 1.5 times the number of hours from now. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 7 BUG -33+1.5s -33+1.5s
Does the temperature of the liquid go up or down when the number of hours from now increases? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:52:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 8 OK -33-1.5s default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:53:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:53:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:53:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:53:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 BUG 60 60
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:53:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 2 OK -60 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 OK -33-1.5s=0 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 2 OK -33-1.5S=0 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5S = 0 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5S = 33 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 OK -22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 3 OK -33-1.5S=-60 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:54:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5S = -60 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:55:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5S = -27 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:55:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 1 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:56:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK the depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:56:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:56:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 BUG f f
You entered F in the wrong column. BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session8 2005-10-14 08:56:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 2 INITIAL_HINT f Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:17:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 BUG d d
You entered D in the wrong column. BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:17:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK the digging time default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:18:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 BUG hours HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:18:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:18:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 3 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:18:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:19:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 OK -1550-7m default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:19:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 1 ERROR 120 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:20:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 2 ERROR 112 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:20:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C2 3 ERROR 12+10 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:20:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C2 4 INITIAL_HINT 12+10 You are given a value for the digging time. Find the depth of the mine. HINT 1 default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:20:25.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R4C2 5 NEXT_HINT You are given a value for the digging time. Find the depth of the mine by calculating -7 times the digging time minus 1550. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C2 1 BUG 24 24
You entered 24 in the wrong column. BUG default_condition Find Y, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 112 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 OK -120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:21:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7M=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7m=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = -1564 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 3 OK -1550-7M=0 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:22:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:23:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = 1550 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:23:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 OK -1550/7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:14.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 ERROR clt 2y-3 = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:16.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:17.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:24.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:34.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:38.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:43.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:49.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:24:56.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:25:50.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6+3)*1 strategic 1 OK clt -6+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:25:54.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -3*1 strategic 1 OK mt -3*1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:26:09.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(6-10) strategic 1 OK clt 6-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:26:13.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*-4 strategic 1 OK mt -9*-4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:26:22.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-5*9 strategic 1 OK mt 5*9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:26:24.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-45 strategic 1 OK clt 5-45 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:26:37.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3+1*4 strategic 1 OK mt 1*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:26:39.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3+4 strategic 1 OK clt 3+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:02.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7(-9-9) strategic 1 OK clt -9-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:05.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7*-18 strategic 1 OK mt 7*-18 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:12.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-3*1 strategic 1 OK mt 3*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:23.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-3 strategic 1 OK clt 1-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(7-7) strategic 1 OK clt 7-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:27:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -6+0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:00.0 HINT HINT ES_02 ES_02-2 EG31 -6(7-7) strategic 2 INITIAL_HINT default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:02.0 HINT HINT ES_02 ES_02-2 EG31 -6(7-7) strategic 3 NEXT_HINT Be sure to do operations within parentheses first. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:05.0 HINT HINT ES_02 ES_02-2 EG31 -6(7-7) strategic 4 NEXT_HINT Combine like terms. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(7-7) strategic 5 OK clt 7-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:10.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 9 INITIAL_HINT You need to combine like terms in -6(7-7). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -6*0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*0 strategic 1 OK mt -6*0 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:28:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4-1)*-6 strategic 1 OK clt -4-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -3*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -3*(-6) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -5*(-6) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -5*-6 strategic 1 OK mt -5*-6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR -30. default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR -30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK 30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:29:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-7*-3 strategic 1 OK mt 7*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:30:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-7*-3 strategic 2 ERROR clt -5-7*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:30:08.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-7*-3 strategic 3 OK mt 7*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:30:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 36 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:31:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -5-21 -5-21
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:31:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 BUG -5-21 -5-21
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:31:33.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT -5-21 You need to perform multiplication in -5-7*-3. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:31:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -5-(-21) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:31:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5+21 strategic 1 OK clt -5+21 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:32:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK 16 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:33:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 3(-10-9) strategic 1 OK clt -10-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:34:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 3*1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:34:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 3+1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:34:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 3+1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:34:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR 3+1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:34:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR 3-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:34:48.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 6 INITIAL_HINT 3-1 You need to combine like terms in 3(-10-9). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:35:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK 3*-19 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:35:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 3*-19 strategic 1 OK mt 3*-19 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:35:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK -57 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:36:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (9-7)*-2 strategic 1 OK clt 9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:36:22.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 2*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:36:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2*-2 strategic 1 OK mt 2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:36:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*-3+3 strategic 1 ERROR clt -2*-3+3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*-3+3 strategic 2 OK mt -2*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -6+3 -6+3
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -6+-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -6+-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:20.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT -6+-3 You need to perform multiplication in -2*-3+3. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK 6+3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6+3 strategic 1 OK clt 6+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:37:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK 9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-5*-1 strategic 1 OK clt -1-5*-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-11R1 strategic 1 BUG -1 -1
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -1, is not one of the 5*-1 terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-11R1 strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:31.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-11R1 strategic 3 OK -5*-1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant terms1R1 strategic 1 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-1R2 strategic 1 ERROR 6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-1R2 strategic 2 ERROR -6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-1R2 strategic 3 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 constant termsR2 strategic 1 OK -1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:38:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 5-1 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5-1 strategic 1 OK clt 5-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-8*-9 strategic 1 OK mt 8*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:22.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 4-72 4-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 4-(-72) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4+72 strategic 1 OK clt 4+72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:40.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 68 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:39:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 76 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:40:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-3*-2 strategic 1 OK mt 3*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:42:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -9+-6 -9+-6
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:42:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -9+6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:42:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+6 strategic 1 OK clt -9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:42:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:43:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8(-7-5) strategic 1 OK clt -7-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:44:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -8+12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:44:55.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 2 INITIAL_HINT -8+12 You need to combine like terms in -8(-7-5). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:45:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK -8*-12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:45:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -8*-12 strategic 1 OK mt -8*-12 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:45:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK 96 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:46:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-10+4)*6 strategic 1 OK clt -10+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:46:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 6*6 6*6
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:46:22.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -6*6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:46:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -6*6 strategic 1 OK mt -6*6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:46:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:46:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK -36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:47:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-7-5)*-6 strategic 1 OK clt -7-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:47:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:47:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -12*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -12*-6 strategic 1 OK mt -12*-6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 72 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(0-5) strategic 1 OK clt 0-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG -6*5 -6*5
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 6*5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 BUG 6*-5 6*-5
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 BUG 6*-5 6*-5
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:48:51.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT 6*-5 You need to combine like terms in -6(0-5). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:49:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 BUG 6*(-5) 6*(-5)
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:49:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK -6*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:49:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-5 strategic 1 OK mt -6*-5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:49:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK 30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:49:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(-10-3) strategic 1 OK clt -10-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -5*7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -5*-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -5*-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -5*(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:17.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT -5*(-7) You need to combine like terms in -5(-10-3). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -5*(-13) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:50:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-13 strategic 1 OK mt -5*-13 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:51:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-13 strategic 2 OK mt -5*-13 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:52:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:52:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:52:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 OK 65 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:53:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-7+9)*-4 strategic 1 OK clt -7+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:53:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 2*-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:53:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2*-4 strategic 1 OK mt 2*-4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:53:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 6 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:53:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 6 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:53:36.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK -8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:04.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -47(-20-29) = x strategic 1 OK clt -20-29 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:13.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -47*-49 = x strategic 1 OK mt -47*-49 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:21.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-18-4)*-41 strategic 1 OK clt -18-4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:25.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -22*-41 strategic 1 OK mt -22*-41 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:33.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -42-35*-24 strategic 1 OK mt 35*-24 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:36.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -42-(-840) strategic 1 OK clt -42-(-840) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:46.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -5-1*-9 strategic 1 OK mt 1*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:54:48.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -5-(-9) strategic 1 OK clt -5-(-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:55:02.0 CYCLE CYCLE ES_02 ES_02-3 EG34B (-3-30)*2 = x strategic 1 OK clt -3-30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:55:05.0 CYCLE CYCLE ES_02 ES_02-3 EG34B -33*2 = x strategic 1 OK mt -33*2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:55:13.0 CYCLE CYCLE ES_02 ES_02-3 EG32C 20+18*-36 = y strategic 1 OK mt 18*-36 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:55:16.0 CYCLE CYCLE ES_02 ES_02-3 EG32C 20+(-648) = y strategic 1 OK clt 20+(-648) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:55:59.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (-10-6)*-8 strategic 1 OK clt -10-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:56:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -16*-8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session9 2005-10-19 08:56:12.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = -16*-8 strategic 1 OK mt -16*-8 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:41:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = (8-2)*-3 strategic 1 OK clt 8-2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:42:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK 6*(-3) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:42:54.0 CYCLE CYCLE ES_02 ES_02-4 EG34 x = 6*-3 strategic 1 OK mt 6*-3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 ERROR 18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:05.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 OK -18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -3(-1+0) strategic 1 OK clt -1+0 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -3*-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -3*-1 strategic 1 OK mt -3*-1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 3 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = 1(10+8) strategic 1 OK clt 10+8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:43:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK 1*18 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = 1*18 strategic 1 OK mt 1*18 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:04.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK 18 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y+3 = 4 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y+3-3 = 4-3 strategic 1 OK clt 2y+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y = 4-3 strategic 1 OK clt 4-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y = 1 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y/2 = 1/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:44:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 10+6x strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1-10 = 10+6x-10 strategic 1 OK clt 10+6x-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1-10 = 6x strategic 1 OK clt -1-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -11 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -11/6 = 6x/6 strategic 1 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -11/6 = x strategic 1 BUG rf -11/6 = x strategic You already solved the equation. x is -11/6. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -2-2y strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+2 = -2-2y+2 strategic 1 OK clt -5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -2-2y+2 strategic 1 OK clt -2-2y+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/-2 = -2y/-2 strategic 1 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:45:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/-2 = y strategic 1 BUG clt -3/-2 = y strategic You already solved the equation. y is -3/-2. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+2y = 4 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+2y-1 = 4-1 strategic 1 OK typein 1+2y-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+2y-1 = 4-1 strategic 2 OK typein 4-1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1+2y-1 = 4-1 strategic 3 OK clt 1+2y-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 OK 2y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 2y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:46:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y = 4-1 strategic 1 OK clt 4-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y = 3 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y/2 = 3/2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2y/2 = 3/2 strategic 2 OK typein 3/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -1+7y strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+1 = -1+7y+1 strategic 1 OK typein -1+7y+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+1 = -1+7y+1 strategic 2 OK typein -6+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+1 = -1+7y+1 strategic 3 OK clt -1+7y+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 7y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:47:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6+1 = 7y strategic 1 OK clt -6+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/7 = 7y/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5/7 = 7y/7 strategic 2 OK typein -5/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 4x-1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+1 = 4x-1+1 strategic 1 OK typein 4x-1+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7+1 = 4x-1+1 strategic 2 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 4x-1+1 strategic 1 OK clt 4x-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:48:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 4x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/4 = 4x/4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/4 = 4x/4 strategic 2 OK typein -6/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -3+(x/-9) strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9+3 = -3+(x/-9)+3 strategic 1 OK clt -3+(x/-9)+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9+3 = x/-9 strategic 1 OK clt 9+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = x/-9 strategic 1 OK rf x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:53.0 HINT HINT ES_02 ES_02-7 EG41 12 = -x/9 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:54.0 HINT HINT ES_02 ES_02-7 EG41 12 = -x/9 strategic 2 NEXT_HINT In -x/9, x is multiplied by -1/9. How do you change the -1/9 into a 1? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:49:58.0 HINT HINT ES_02 ES_02-7 EG41 12 = -x/9 strategic 3 NEXT_HINT Multiplying something by its reciprocal changes it into 1. Multiply both sides by -9/1, which is the same as mulitplying by -9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:50:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = -x/9 strategic 4 BUG divide -9/1 To remove the coefficient of -x/9, you need to divide by -1/9 or multiply by -9/1. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:50:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12 = -x/9 strategic 5 OK multiply -9/1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:50:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12*-9/1 = (-x/9)*(-9/1) strategic 1 ERROR rf -9/1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:50:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12*-9/1 = (-x/9)*(-9/1) strategic 2 OK mt (-x/9)*(-9/1) default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:50:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 12*-9/1 = x strategic 1 OK mt 12*-9 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:51:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = 2+(x/-10) strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:51:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4-2 = 2+(x/-10)-2 strategic 1 OK clt 2+(x/-10)-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:51:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4-2 = x/-10 strategic 1 OK clt -4-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:51:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = x/-10 strategic 1 OK rf x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:51:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = -x/10 strategic 1 OK multiply -10/1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:51:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*-10/1 = (-x/10)*(-10/1) strategic 1 OK mt (-x/10)*(-10/1) default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*-10/1 = x strategic 1 OK mt -6*-10 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/2+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-7 = x/2+7-7 strategic 1 OK clt x/2+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-7 = x/2 strategic 1 OK clt 2-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/2 strategic 1 OK multiply 2/1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*2 = x/2*2 strategic 1 OK mt x/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*2 = x strategic 1 OK mt -5*2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/-7-9 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+9 = x/-7-9+9 strategic 1 OK clt x/-7-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:52:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+9 = x/-7 strategic 1 OK clt 5+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14 = x/-7 strategic 1 OK multiply -7/1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14*-7 = x/-7*-7 strategic 1 OK mt x/-7*-7 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14*-7 = x strategic 1 OK mt 14*-7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+(x/-8) = 8 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+(x/-8)-4 = 8-4 strategic 1 ERROR mt 4+(x/-8)-4 = 8-4 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:31.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4+(x/-8)-4 = 8-4 strategic 2 OK clt 4+(x/-8)-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 8-4 strategic 1 OK clt 8-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8 = 4 strategic 1 OK multiply -8/1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-8*-8 = 4*-8 strategic 1 OK mt x/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:53:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 4*-8 strategic 1 OK mt 4*-8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9-8 = -4 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9-8+8 = -4+8 strategic 1 OK typein -4+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9-8+8 = -4+8 strategic 2 OK typein y/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = -4+8 strategic 1 OK clt -4+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9 = 4 strategic 1 OK multiply 9/1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9*9 = 4*9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:54:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/9*9 = 4*9 strategic 2 OK typein 36 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:55:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/6 = -6 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:55:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/6-7 = -6-7 strategic 1 OK typein x/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:55:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+x/6-7 = -6-7 strategic 2 OK typein -13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:55:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6 = -13 strategic 1 OK multiply 6/1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:55:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6*6 = -13*6 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:55:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/6*6 = -13*6 strategic 2 OK typein -78 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-2) = -8 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-2)-2 = -8-2 strategic 1 OK typein y/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-2)-2 = -8-2 strategic 2 OK typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2 = -10 strategic 1 OK multiply -2/1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2*-2 = -10*-2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2*-2 = -10*-2 strategic 2 BUG typein -20 You are multiplying a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session10 2005-10-21 08:56:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2*-2 = -10*-2 strategic 3 OK typein 20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:16:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 8/y strategic 1 BUG multiply 8/1 To remove the coefficient of 8/y, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:16:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 8/y strategic 2 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:16:58.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 8/y strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:16:59.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 8/y strategic 4 NEXT_HINT 8/y is 8 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:02.0 HINT HINT ES_02 ES_02-9 EG44 -2 = 8/y strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 8/y strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y = 8/y*y strategic 1 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y = 8 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y/-2 = 8/-2 strategic 1 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 8/-2 strategic 1 OK rf 8/-2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -5/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y = -5/y*y strategic 1 OK mt -5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y = -5 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:17:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = -5/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y = -2 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y*y = -2y strategic 1 ERROR rf 5/y*y = -2y strategic default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y*y = -2y strategic 2 OK mt 5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-2 = -2y/-2 strategic 1 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-2 = y strategic 1 OK rf 5/-2 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = 2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x = 2/x*x strategic 1 OK mt 2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:18:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x = 2 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:19:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x/-1 = 2/-1 strategic 1 OK rf 2/-1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:19:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x/-1 = -2 strategic 1 OK rf -1x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:19:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y = 7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:19:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = 7y strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:19:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = 7y strategic 2 OK typein -5/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:19:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = 7y strategic 3 OK typein 7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/y*y = 7y strategic 4 OK mt -5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -5*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -5y*y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -5y*y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR -5y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:37.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT -5y Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -5y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:20:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/y = 7y strategic 1 BUG divide 7 Transforming by dividing on both sides does not get you closer to a solution of this equation. Try a transformation that will collect all variable terms on one side of the equation. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:21:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5y/y = 7y strategic 2 OK rf -5y/y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:21:23.0 HINT HINT ES_02 ES_02-10 EG44 row2constant factors strategic 1 INITIAL_HINT From the original equation at the top, select -5 from the numerator and drag it to the numerator of the constant factors box above. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:21:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:21:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:21:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:21:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 ERROR -5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:22:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 BUG 5 5
Check the sign of your answer. BUG default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 OK -5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK -5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/7 = 7y/7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/7 = 7y/7 strategic 2 OK typein -5/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = 5/y strategic 1 ERROR multiply yu default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:23:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = 5/y strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 5/y*y strategic 1 OK typein 5/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 5/y*y strategic 2 OK typein -3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 5/y*y strategic 3 OK mt 5/y*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 5y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 5y/y strategic 1 OK rf 5y/y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:50.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 2 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:52.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 3 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:24:54.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 4 INITIAL_HINT Before working on this answer, perhaps try filling in the answers above. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR 5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 OK 5 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:25:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 OK 5 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 5 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/-3 = 5/-3 strategic 1 OK typein 5/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/-3 = 5/-3 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y = -4 strategic 1 ERROR mt -6/y = -4 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y = -4 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y*y = -4y strategic 1 OK typein -4y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:26:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y*y = -4y strategic 2 OK typein -6/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/y*y = -4y strategic 3 OK mt -6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -6y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y/y = -4y strategic 1 ERROR mt -6y/y = -4y strategic default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6y/y = -4y strategic 2 OK rf -6y/y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/-4 = -4y/-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:27:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -6/-4 = -4y/-4 strategic 2 OK typein -6/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 7/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 7/y*y strategic 1 OK typein 7y/y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 7/y*y strategic 2 OK typein 3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 7y/y strategic 1 OK rf 7y/y default_condition hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 7 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:28:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 7/3 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 XJyS25Yg27 session11 2005-10-26 08:29:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 7/3 strategic 2 OK typein 7/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:23:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 BUG scuba lessons scuba lessons
SCUBA LESSONS could be part of the answer. Focus on words that distinguish quantities. BUG default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:24:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 OK time spenttaking scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:24:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:24:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 ERROR hou default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:24:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 2 OK hour default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:25:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:25:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:26:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK x*25.50+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:26:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:26:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:26:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 192.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:26:47.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:28:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG x*25.5+90.75=z x*25.5+90.75=z
Please check to make sure that x*25.5+90.75=z is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:30:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK x*25.5+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:30:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 OK X*25.5+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:31:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X*25.5+90.75 = 192.75 strategic 1 ERROR clt X*25.5+90.75 = 192.75 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:31:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X*25.5+90.75 = 192.75 strategic 2 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:31:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X*25.5 = 102 strategic 1 ERROR mt X*25.5 = 102 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:31:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X*25.5 = 102 strategic 2 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:31:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:32:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 4 BUG X*25.5+90.75=2385.75 X*25.5+90.75=2385.75
Please check to make sure that X*25.5+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:32:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X*25.5+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:32:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR X*25.5 = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:32:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:33:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 1 OK amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 1 OK yotal cost default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:33:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 1 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:33:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:33:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 1 OK z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 1 ERROR 14.50*z default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:35:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 2 OK 14.95*z default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C1 1 OK 14 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:36:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 1 OK 10.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:36:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C2 1 OK 747.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:37:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 1 OK 1196 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 1 OK 14.95z=747.5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 2 OK 14.95Z=747.5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:37:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95Z = 747.5 strategic 1 OK divide 14.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:38:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C1 1 OK 50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:38:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C ValidEquations 3 OK 14.95Z=1196 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:38:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C 14.95Z = 1196 strategic 1 OK divide 14.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:39:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:39:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:39:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:39:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 OK z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:40:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 ERROR 1*5=5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:40:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 2 ERROR 1*5+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:40:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 3 OK z*5+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:40:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:40:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 ERROR 27.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 3 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:19.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 4 INITIAL_HINT 27.50 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 5 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 6 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 7 ERROR 27.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 8 ERROR 27.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:56.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 9 INITIAL_HINT 27.5 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:41:57.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 10 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:42:02.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R5C1 11 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:42:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 12 OK 330 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 1 OK z*5+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 2 OK Z*5+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C Z*5+5000 = 46000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C Z*5 = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 3 OK Z*5+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:43:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C Z*5+5000 = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:44:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C Z*5 = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:44:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:44:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:45:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:45:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:45:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 OK 39.50z default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:46:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 OK 85+150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:46:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 1 OK 39.5z=177750 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:46:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 2 OK 39.5Z=177750 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5Z = 177750 strategic 1 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:47:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:47:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 3 OK 39.5Z=18762.5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:47:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5Z = 18762.5 strategic 1 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:47:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 OK 475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:47:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time from now default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK distance jet has flown default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 BUG z z
You entered Z in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 2 BUG miles miles
You entered MILES in the wrong column. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 3 OK hour default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 BUG 1250z+-750 1250z+-750
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:48:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 BUG 1250z-750 1250z-750
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:49:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 3 OK 1250*z+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:49:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 OK 1.6 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:50:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250z+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:50:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250Z+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z+750 = 3500 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z = 2750 strategic 1 BUG divide 2750 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z = 2750 strategic 2 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 BUG 11/5 11/5
You entered 2.2 in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 BUG 2.2 2.2
You entered 2.2 in the wrong row. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 ERROR 2.2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 ERROR 2.2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 3 ERROR 11.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:51:53.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 4 INITIAL_HINT 11.5 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B Z = 11/5 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 5 INITIAL_HINT 11.5 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 6 NEXT_HINT You know that the expression 1250Z + 750 represents the total distance it has flown. What value of the time will make the general expression 1250Z + 750 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 7 NEXT_HINT Since the general expression for the total distance it has flown is 1250Z + 750 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 8 NEXT_HINT Solve the equation 1250Z + 750 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 1 INITIAL_HINT Read the problem statement. What information is given in question 4 about the total distance it has flown? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 2 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:52:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 3 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:53:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 4 ERROR 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:53:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B Z = 11/5 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:53:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 9 ERROR 11.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:53:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 10 ERROR 11.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:53:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 11 ERROR 11.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:54:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 5 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:54:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 12 ERROR 11.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:54:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 6 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:55:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 7 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session7 2005-09-28 08:55:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 8 ERROR 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:19:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250z+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:19:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250Z+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:19:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z+750 = 1750 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:19:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z = 1000 strategic 1 BUG divide 1000 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z = 1000 strategic 2 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 3 OK 1250Z+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z+750 = 3500 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250Z = 2750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:20:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 OK 11/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:21:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK number of students enrolled in algerbra default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:22:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK number of students recieving a a or b default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:22:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:22:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:22:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 OK Z*.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 1 OK Z*0.15=48 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A Z*0.15 = 48 strategic 1 OK divide .15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 OK 320 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 2 OK Z*0.15=9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:23:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A Z*0.15 = 9 strategic 1 OK divide .15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:24:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:24:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 OK NUMBER OF PEOPLE default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:24:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 OK COST OF CAKE default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:24:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:24:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:25:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 OK Z*.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:25:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:25:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:25:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C2 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:25:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 1 OK 36.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:25:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 1 BUG Z*75=120 Z*75=120
Please check to make sure that Z*75=120 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:26:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 2 OK Z*0.75=120 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:26:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C Z*0.75 = 120 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:26:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:26:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C ValidEquations 3 OK Z*0.75=36.75 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:26:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C Z*0.75 = 36.75 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:26:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:27:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C1 1 OK NUMBER OF SNOW CONES WE SELL default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R1C2 1 OK PROFIT default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:27:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:27:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R3C2 1 OK .75Z-100 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:27:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:28:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R5C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:28:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R6C2 1 OK 350 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R7C2 1 OK 475.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:29:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 1 OK 0.75Z-100=350 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:29:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75Z-100 = 350 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75Z-100 = 350 strategic 2 OK add 100 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75Z = 450 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R6C1 1 OK 600 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 2 BUG 0.75Z-100=475 0.75Z-100=475
Please check to make sure that 0.75Z-100=475 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A ValidEquations 3 OK 0.75Z-100=475.25 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75Z-100 = 475.25 strategic 1 OK add 100 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A 0.75Z = 575.25 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:30:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41A R7C1 1 OK 767 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:31:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 OK LENGTH OF MOBILE TELEPHONE CALL default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:31:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK COST OF CALL default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:32:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK MINUTES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:32:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:32:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:33:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK .75*Z+3.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:33:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:33:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:33:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:33:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 1 OK 0.75Z+3.5=17 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75Z+3.5 = 17 strategic 1 OK subtract 3.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75Z = 13.5 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 2 OK 0.75Z+3.5=32.75 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75Z+3.5 = 32.75 strategic 1 OK subtract 3.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75Z = 29.25 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:34:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:35:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK COST OF THE ITEMS default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:35:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK TOTAL COST OF THE ORDER default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:35:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:35:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:35:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR Z+10-.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:36:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR Z-.15+10.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:19.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 INITIAL_HINT Read the problem statement. What information is given in question 1 about the cost of the items? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:21.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R4C1 2 NEXT_HINT Important information about the cost of the items is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 ERROR Z-.15+10.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:27.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 4 INITIAL_HINT Z-.15+10.00 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:29.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 5 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:33.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 6 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 15%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:37.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 7 NEXT_HINT Discounting each item in the order by 15%. means subtracting 0.15 times the cost of the items. So the discount is 0.15Z. Since the discount is subtracted from the cost of the items, the total cost of the order will be Z-0.15Z. Don't forget the flat fee of $10 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:41.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 8 NEXT_HINT Write an expression that means the cost of the items minus 0.15 times the cost of the items plus the flat fee of $10 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:37:48.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 9 NEXT_HINT Enter Z-0.15Z+10 (you could also enter 0.85Z + 10, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:38:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 10 OK Z-.15Z+10.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:38:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 3 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:38:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:38:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 OK 180 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 1 OK Z-0.15Z+10=116.25 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B Z-0.15Z+10 = 116.25 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85Z = 106.25 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 OK 125 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 2 OK Z-0.15Z+10=180 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B Z-0.15Z+10 = 180 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85Z = 170 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:39:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:40:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C1 1 OK CELLULAR PHONE TIME default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:40:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C2 1 BUG AMOUNT OF BILL AMOUNT OF BILL
Try balance on the next bill. BUG default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:40:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C2 2 OK AMOUNT OF THE NEXT BILL default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:40:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R2C1 1 OK MINUTES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:40:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R2C2 1 OK DOLLARS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:40:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:41:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 1 OK Z*.27-6.79 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R4C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:41:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R5C1 1 OK 29 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:41:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R6C2 1 OK 60.71 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:41:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C2 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:42:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 1 OK Z*0.27-6.79=60.71 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:42:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C Z*0.27-6.79 = 60.71 strategic 1 OK add 6.79 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:42:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C Z*0.27 = 67.5 strategic 1 OK divide .27 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:42:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R6C1 1 OK 250 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:42:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 2 OK Z*0.27-6.79=30 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:43:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C Z*0.27-6.79 = 30 strategic 1 OK add 6.79 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:43:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C Z*0.27 = 36.79 strategic 1 OK divide .27 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:43:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 1 ERROR 136.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:43:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 2 OK 136.2593 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 1 OK NUMBER OF HOURS FROM NOW default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 1 OK TEMPERATURE OF THE LIQUID default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 1 ERROR HOUTS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 2 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 1 BUG DEGREES DEGREES
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 2 BUG DEGREES DEGREES
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:44:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 3 ERROR DEGREES PER HOUR default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:45:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 4 BUG TEMPERATURE TEMPERATURE
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TEMPERATURE? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:45:42.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C2 5 INITIAL_HINT TEMPERATURE You need to enter a unit for measuring the temperature of the liquid. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:45:44.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C2 6 NEXT_HINT What would you say if you were measuring the temperature of the liquid? You would count one degree Celsius, two degrees Celsius, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:45:47.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R2C2 7 NEXT_HINT Enter a unit for the temperature of the liquid by clicking on the unit box and typing in a word or phrase. How would you measure or count the temperature of the liquid? One degree Celsius, two degrees Celsius, three... HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:46:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 8 OK DEGREES CELSIUS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:46:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:47:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 ERROR Z*-.5-33 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:47:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 2 ERROR Z*-.5-33 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:47:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 3 ERROR Z*-.5-33 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:47:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 4 ERROR Z*-.5-33 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:47:59.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 5 INITIAL_HINT Z*-.5-33 Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:48:00.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 6 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:48:04.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04A R3C2 7 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:48:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 8 OK Z*-1.5-33 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:48:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:48:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 OK -60 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 OK Z*(-1.5)-33=0 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A Z*(-1.5)-33 = 0 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5Z = 33 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 OK -22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 2 OK Z*(-1.5)-33=-60 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:49:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A Z*(-1.5)-33 = -60 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:50:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5Z = -27 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:50:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 1 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:50:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 1 OK TIME DIGGING default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:50:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 1 OK DEPTH default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:51:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 1 OK MONTH default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:51:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK Z default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:52:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 1 BUG Z*9-1375 Z*9-1375
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 2 ERROR Z*9+1375 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:52:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 3 ERROR Z*9+1375 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:53:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 4 OK -1375-Z*9 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:53:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 OK 12*4 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:53:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:54:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 ERROR 12*100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:55:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 3 BUG 10*12 10*12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:55:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 4 OK -10*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:55:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:55:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 1 BUG 2068 2068
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:55:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 2 OK -2068 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:56:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-Z*9=-2068 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session8 2005-09-30 08:56:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-Z*9 = -2068 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:01:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:01:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 2 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:01:36.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 3 INITIAL_HINT 0 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:01:37.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 4 NEXT_HINT You know that the expression -1375 - 9Z represents the depth of the mine. What value of the digging time will make the general expression -1375 - 9Z output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:01:40.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 5 NEXT_HINT Since the general expression for the depth of the mine is -1375 - 9Z and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:01:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 6 NEXT_HINT Solve the equation -1375 - 9Z = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:02:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 7 ERROR -1375-9z=0 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:02:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 8 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:02:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 9 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:02:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 10 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:02:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 11 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:02:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-z*9=0 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 OK -1375-Z*9=0 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-Z*9 = 0 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:26.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = 0 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = 0 strategic 2 NEXT_HINT -1375/9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -1375/9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:31.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = 0 strategic 3 NEXT_HINT You can add 1375/9 to both sides of the equation to eliminate the constant value of -1375/9 (-1375/9 + 1375/9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:03:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = 0 strategic 4 BUG add -1375/9 To remove -1375/9 from the left side, you can add a positive to it. Erase your last step and add 1375/9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:04:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = 0 strategic 5 BUG add -1375/9 To remove -1375/9 from the left side, you can add a positive to it. Erase your last step and add 1375/9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:04:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = 0 strategic 6 OK add 1375/9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:04:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -Z = 1375/9 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:05:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 12 OK -1375/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:05:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 OK -1375-Z*9=-2068 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:05:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-Z*9 = -2068 strategic 1 BUG add -1375 To remove -1375 from the left side, you can add a positive to it. Erase your last step and add 1375 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:05:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-Z*9 = -2068 strategic 2 ERROR add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:05:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-Z*9 = -2068 strategic 3 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:06:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375/9-Z = -2068/9 strategic 1 OK add 1375/9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:06:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -Z = -77 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:06:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 1 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:06.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:13.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:21.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:27.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:32.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:41.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(1+4) strategic 1 OK clt 1+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:45.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3*5 strategic 1 OK mt -3*5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:53.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7-8)*10 strategic 1 OK clt -7-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:07:58.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -15*10 strategic 1 OK mt -15*10 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:07.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+3*-1 strategic 1 ERROR clt -9+3*-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:16.0 HINT HINT ES_02 ES_02-1 EG28 -9+3*-1 strategic 2 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:17.0 HINT HINT ES_02 ES_02-1 EG28 -9+3*-1 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:21.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+3*-1 strategic 4 OK mt 3*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:27.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+(-3) strategic 1 OK clt -9+(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:35.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*-5+1 strategic 1 OK mt -3*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:38.0 CYCLE CYCLE ES_02 ES_02-1 EG29 15+1 strategic 1 OK clt 15+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:43.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-9*2 strategic 1 OK mt 9*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:45.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-18 strategic 1 OK clt -6-18 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:51.0 CYCLE CYCLE ES_02 ES_02-1 EG31 1(-7-2) strategic 1 OK clt -7-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:08:54.0 CYCLE CYCLE ES_02 ES_02-1 EG31 1*-9 strategic 1 OK mt 1*-9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:00.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -9+4*-3 strategic 1 OK mt 4*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:03.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -9+(-12) strategic 1 OK clt -9+(-12) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5-6)*-3 strategic 1 OK clt -5-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -11*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -11*-3 strategic 1 OK mt -11*-3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -33 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 33 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:09:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-2-2) strategic 1 OK clt -2-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:10:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -7-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:10:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -7--4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:10:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR (-7)-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:10:33.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT (-7)-4 You need to combine like terms in -7(-2-2). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:10:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -7*-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:10:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-4 strategic 1 OK mt -7*-4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:11:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 28 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:11:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-1*-3 strategic 1 OK mt 1*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:11:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 2*3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:11:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG 2-3 2-3
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 2*-3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:00.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 2*-3 You need to perform multiplication in 2-1*-3. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 2--3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+3 strategic 1 OK clt 2+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK 5 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9*0-4 strategic 1 OK mt -9*0 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 0-4 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0-4 strategic 1 OK clt 0-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:50.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(-7-5) strategic 1 OK clt -7-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:12:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 1*-12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1*-12 strategic 1 OK mt 1*-12 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-9*4 strategic 1 OK mt 9*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 3-36 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-36 strategic 1 OK clt 3-36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 33 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:47.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -33 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:13:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4+0)*5 strategic 1 OK clt -4+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -4*5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -4*5 strategic 1 OK mt -4*5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-8*-2 strategic 1 OK mt 8*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -2-16 -2-16
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:47.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -2*16 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:14:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -2*-16 -2*-16
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -2*16 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:12.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 5 INITIAL_HINT -2*16 You need to perform multiplication in -2-8*-2. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -2--16 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2+16 strategic 1 OK clt -2+16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 OK 14 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-7*-4 strategic 1 OK mt 7*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -1--28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1+28 strategic 1 OK clt -1+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:15:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 27 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:05.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-9*-10 strategic 1 OK mt 9*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -4--90 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4+90 strategic 1 OK clt -4+90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 85 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:31.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 86 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:40.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -36(-40+33) = x strategic 1 OK clt -40+33 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:44.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -36*-7 = x strategic 1 OK mt -36*-7 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:53.0 CYCLE CYCLE ES_02 ES_02-3 EG34C y = (16+21)*-27 strategic 1 OK clt 16+21 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:16:55.0 CYCLE CYCLE ES_02 ES_02-3 EG34C y = 37*-27 strategic 1 OK mt 37*-27 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:02.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = -14*-22-20 strategic 1 OK mt -14*-22 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:04.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = 308-20 strategic 1 OK clt 308-20 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:10.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -8-8*-6 = x strategic 1 OK mt 8*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:13.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -8-(-48) = x strategic 1 OK clt -8-(-48) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:18.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-3+7)*0 = x strategic 1 OK mt (-3+7)*0 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:27.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 2(-44+12) strategic 1 OK clt -44+12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:30.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 2*-32 strategic 1 OK mt 2*-32 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:37.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -2+18*10 strategic 1 OK mt 18*10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:39.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -2+180 strategic 1 OK clt -2+180 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:17:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (-7-3)*-3 = y strategic 1 OK clt -7-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:18:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -10*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:18:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -10*-3 = y strategic 1 OK mt -10*-3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:18:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 ERROR 3- default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:18:17.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 OK 30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:18:26.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -36(-18-19) strategic 1 OK clt -18-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:11.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 ERROR -36 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 ERROR -36-37 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 ERROR -36-37 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 4 ERROR -36-37 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 5 ERROR -36+37 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:28.0 HINT HINT ES_02 ES_02-4 EG35C FinalAnswer strategic 6 INITIAL_HINT -36+37 You need to combine like terms in -36(-18-19). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 7 BUG -36*37 -36*37
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 8 OK -36*-37 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:19:58.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -36*-37 strategic 1 OK mt -36*-37 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:20:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 9 OK 1332 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:20:29.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = -7(-10+5) strategic 1 OK clt -10+5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:20:39.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK -7*-5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:20:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = -7*-5 strategic 1 OK mt -7*-5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session9 2005-10-04 14:20:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK 35 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:46:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34B (-13-48)*-47 = x strategic 1 OK clt -13-48 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:46:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK -61*-47 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:46:57.0 CYCLE CYCLE ES_02 ES_02-4 EG34B -61*-47 = x strategic 1 OK mt -61*-47 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:47:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 2867 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:47:19.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -9(-34-41) strategic 1 OK clt -34-41 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:47:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -9*-75 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:47:42.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = -9*-75 strategic 1 OK mt -9*-75 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:48:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 675 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:48:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34C (32+9)*-40 = y strategic 1 OK clt 32+9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:48:45.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK 41*-40 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:48:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34C 41*-40 = y strategic 1 OK mt 41*-40 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 ERROR 1640 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 3 OK -1640 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -6+8x strategic 1 ERROR clt 1 = -6+8x strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:37.0 HINT HINT ES_02 ES_02-5 EG40 1 = -6+8x strategic 2 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:40.0 HINT HINT ES_02 ES_02-5 EG40 1 = -6+8x strategic 3 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:44.0 HINT HINT ES_02 ES_02-5 EG40 1 = -6+8x strategic 4 NEXT_HINT You can add 6 to both sides of the equation to eliminate the constant value of -6 (-6 + 6 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -6+8x strategic 5 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:49:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+6 = -6+8x+6 strategic 1 OK clt 1+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+8x+6 strategic 1 OK clt -6+8x+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/8 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-7y = 5 strategic 1 BUG add 7 Since 7 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 7 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-7y = 5 strategic 2 BUG add 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-7y = 5 strategic 3 OK add -7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-7y+(-7) = 5+(-7) strategic 1 OK clt 5+(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-7y+(-7) = -2 strategic 1 OK clt 7-7y+(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:50:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = -2 strategic 1 BUG divide 7 In this equation, y is multiplied by -7. Dividing by 7 leaves -y, so you still need to remove the negative sign. It is better to divide by -7, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = -2 strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y/-7 = -2/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-6 = -5 strategic 1 BUG add -6 To remove -6 from the left side, you can add a positive to it. Erase your last step and add 6 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-6 = -5 strategic 2 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-6+6 = -5+6 strategic 1 OK clt -5+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-6+6 = 1 strategic 1 OK clt 6y-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = 1 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = 1/6 strategic 1 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8-4y strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:51:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4+8 = -8-4y+8 strategic 1 OK clt 4+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -8-4y+8 strategic 1 OK clt -8-4y+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -4y strategic 1 BUG divide 4 In this equation, y is multiplied by -4. Dividing by 4 leaves -y, so you still need to remove the negative sign. It is better to divide by -4, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = -4y strategic 2 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/-4 = -4y/-4 strategic 1 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10-1x = -8 strategic 1 ERROR add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10-1x = -8 strategic 2 ERROR add -1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:44.0 HINT HINT ES_02 ES_02-5 EG40 10-1x = -8 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:45.0 HINT HINT ES_02 ES_02-5 EG40 10-1x = -8 strategic 4 NEXT_HINT 10 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 10 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:52:49.0 HINT HINT ES_02 ES_02-5 EG40 10-1x = -8 strategic 5 NEXT_HINT You can subtract 10 from both sides of the equation to eliminate the constant value of 10 (10 - 10 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10-1x = -8 strategic 6 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10-1x-10 = -8-10 strategic 1 OK clt 10-1x-10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1x = -8-10 strategic 1 OK clt -8-10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1x = -18 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1x/-1 = -18/-1 strategic 1 OK rf -1x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -3+3y strategic 1 BUG subtract 3 Since -3 is negative, you should add to remove it from the right side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = -3+3y strategic 2 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-(-3) = -3+3y-(-3) strategic 1 OK clt -8-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -3+3y-(-3) strategic 1 OK clt -3+3y-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:53:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 4y-2 strategic 1 BUG add -2 To remove -2 from the right side, you can add a positive to it. Erase your last step and add 2 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 4y-2 strategic 2 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:19.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 4y-2 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:20.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 4y-2 strategic 4 NEXT_HINT -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:23.0 HINT HINT ES_02 ES_02-5 EG40 -5 = 4y-2 strategic 5 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 4y-2 strategic 6 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+2 = 4y-2+2 strategic 1 OK clt -5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 4y-2+2 strategic 1 OK clt 4y-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = 4y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/4 = 4y/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:54:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -9y+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-1 = -9y+1-1 strategic 1 OK clt 7-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -9y+1-1 strategic 1 OK clt -9y+1-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -9y strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-9 = -9y/-9 strategic 1 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8+4x = 3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8+4x-8 = 3-8 strategic 1 OK clt 3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8+4x-8 = -5 strategic 1 OK clt 8+4x-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -5 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -5/4 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 9+8x strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-9 = 9+8x-9 strategic 1 OK clt -8-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:55:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -17 = 9+8x-9 strategic 1 OK clt 9+8x-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:56:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -17 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session10 2005-10-05 08:56:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -17/8 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:07:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -4y-6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:07:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+6 = -4y-6+6 strategic 1 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:07:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+6 = -4y-6+6 strategic 2 OK typein -4y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-4 = -4y/-4 strategic 1 OK typein 9/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9/-4 = -4y/-4 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -9+5y strategic 1 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -9+5y strategic 2 BUG subtract 9 Since -9 is negative, you should add to remove it from the right side. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = -9+5y strategic 3 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:08:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+9 = -9+5y+9 strategic 1 OK typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:03.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+9 = -9+5y+9 strategic 2 OK typein 5y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = 5y strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/5 = 5y/5 strategic 1 OK typein 7/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7/5 = 5y/5 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-2x = 1 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-2x+2 = 1+2 strategic 1 OK typein -2x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-2x+2 = 1+2 strategic 2 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x = 3 strategic 1 BUG divide 2 In this equation, x is multiplied by -2. Dividing by 2 leaves -x, so you still need to remove the negative sign. It is better to divide by -2, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x = 3 strategic 2 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = 3/-2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:09:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2x/-2 = 3/-2 strategic 2 OK typein 3/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:10:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(y/-6) = 2 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:10:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(y/-6)-1 = 2-1 strategic 1 OK clt 2-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:10:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(y/-6)-1 = 1 strategic 1 OK clt 1+(y/-6)-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:10:42.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6 = 1 strategic 1 BUG divide 1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:10:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6 = 1 strategic 2 BUG divide -6 To remove the coefficient of y/-6, you need to divide by 1/-6 or multiply by -6. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:11:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6 = 1 strategic 3 ERROR divide y/-6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:17:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6 = 1 strategic 4 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:17:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-6*-6 = 1*-6 strategic 1 OK mt y/-6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session11 2005-10-06 14:17:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 1*-6 strategic 1 OK mt 1*-6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/10 = -6 strategic 1 ERROR subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/10 = -6 strategic 2 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/10-2 = -6-2 strategic 1 OK clt 2+x/10-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10 = -6-2 strategic 1 OK clt -6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10 = -8 strategic 1 BUG divide -8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10 = -8 strategic 2 BUG divide 10 To remove the coefficient of x/10, you need to divide by 1/10 or multiply by 10. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:54.0 HINT HINT ES_02 ES_02-7 EG41 x/10 = -8 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:18:57.0 HINT HINT ES_02 ES_02-7 EG41 x/10 = -8 strategic 4 NEXT_HINT In x/10, x is divided by 10. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10 = -8 strategic 5 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/10*10 = -8*10 strategic 1 OK mt x/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -8*10 strategic 1 OK mt -8*10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -2+(x/-8) strategic 1 BUG subtract 2 Since -2 is negative, you should add to remove it from the right side. Erase your last step and add 2 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -2+(x/-8) strategic 2 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:36.0 HINT HINT ES_02 ES_02-7 EG41 5 = -2+(x/-8) strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:37.0 HINT HINT ES_02 ES_02-7 EG41 5 = -2+(x/-8) strategic 4 NEXT_HINT -2 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -2 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:41.0 HINT HINT ES_02 ES_02-7 EG41 5 = -2+(x/-8) strategic 5 NEXT_HINT You can add 2 to both sides of the equation to eliminate the constant value of -2 (-2 + 2 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -2+(x/-8) strategic 6 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+2 = -2+(x/-8)+2 strategic 1 OK clt 5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:19:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = -2+(x/-8)+2 strategic 1 OK clt -2+(x/-8)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/-8 strategic 1 BUG multiply 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/-8 strategic 2 BUG divide 7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:12.0 HINT HINT ES_02 ES_02-7 EG41 7 = x/-8 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:14.0 HINT HINT ES_02 ES_02-7 EG41 7 = x/-8 strategic 4 NEXT_HINT In x/-8, x is divided by -8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:20.0 HINT HINT ES_02 ES_02-7 EG41 7 = x/-8 strategic 5 NEXT_HINT Multiply both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/-8 strategic 6 BUG divide -8 To remove the coefficient of x/-8, you need to divide by 1/-8 or multiply by -8. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/-8 strategic 7 BUG multiply 8 Multiplying by 8 will leave -x. It is better to multiply by -8, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:36.0 HINT HINT ES_02 ES_02-7 EG41 7 = x/-8 strategic 8 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:38.0 HINT HINT ES_02 ES_02-7 EG41 7 = x/-8 strategic 9 NEXT_HINT In x/-8, x is divided by -8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:41.0 HINT HINT ES_02 ES_02-7 EG41 7 = x/-8 strategic 10 NEXT_HINT Multiply both sides by -8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7 = x/-8 strategic 11 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 7*-8 = x/-8*-8 strategic 1 OK mt 7*-8 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:20:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -56 = x/-8*-8 strategic 1 ERROR clt -56 = x/-8*-8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -56 = x/-8*-8 strategic 2 OK mt x/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = -8+y/2 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5+8 = -8+y/2+8 strategic 1 OK clt -5+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -8+y/2+8 strategic 1 OK clt -8+y/2+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = y/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3*2 = y/2*2 strategic 1 OK mt 3*2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = y/2*2 strategic 1 OK mt y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:21:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2+6 = -5 strategic 1 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2+6 = -5 strategic 2 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2+6-6 = -5-6 strategic 1 OK clt y/2+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = -5-6 strategic 1 OK clt -5-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2 = -11 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/2*2 = -11*2 strategic 1 OK mt y/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -11*2 strategic 1 OK mt -11*2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/7 = -6 strategic 1 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/7 = -6 strategic 2 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/7-2 = -6-2 strategic 1 OK clt -6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+x/7-2 = -8 strategic 1 OK clt 2+x/7-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = -8 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7*7 = -8*7 strategic 1 OK mt x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:22:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -8*7 strategic 1 OK mt -8*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = -2+(x/-2) strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+2 = -2+(x/-2)+2 strategic 1 OK clt 3+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -2+(x/-2)+2 strategic 1 OK clt -2+(x/-2)+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/-2 strategic 1 BUG multiply 2 Multiplying by 2 will leave -x. It is better to multiply by -2, because that will leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/-2 strategic 2 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5*-2 = x/-2*-2 strategic 1 OK mt 5*-2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/-2*-2 strategic 1 ERROR clt -10 = x/-2*-2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -10 = x/-2*-2 strategic 2 OK mt x/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+y/5 = 2 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8+y/5+8 = 2+8 strategic 1 OK clt -8+y/5+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = 2+8 strategic 1 OK clt 2+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:23:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = 10 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5*5 = 10*5 strategic 1 OK mt y/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 10*5 strategic 1 OK mt 10*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4 = x/-9+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 4-9 = x/-9+9-9 strategic 1 OK clt 4-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/-9+9-9 strategic 1 OK clt x/-9+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/-9 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:37.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5*-9 = x/-9*-9 strategic 1 OK mt -5*-9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 45 = x/-9*-9 strategic 1 OK mt x/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+5 = -2 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+5-5 = -2-5 strategic 1 OK typein y/5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:24:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5+5-5 = -2-5 strategic 2 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:25:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5 = -7 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:25:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -7*5 strategic 1 OK typein -35 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:25:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/5*5 = -7*5 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:25:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/-2-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:25:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+5 = x/-2-5+5 strategic 1 OK typein x/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:25:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+5 = x/-2-5+5 strategic 2 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = x/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9*-2 = x/-2*-2 strategic 1 ERROR typein 72 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9*-2 = x/-2*-2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9*-2 = x/-2*-2 strategic 3 BUG typein 18 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9*-2 = x/-2*-2 strategic 4 OK typein -18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -2+y/6 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+2 = -2+y/6+2 strategic 1 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:26:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+2 = -2+y/6+2 strategic 2 OK typein y/6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = y/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2*6 = y/6*6 strategic 1 OK typein -12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2*6 = y/6*6 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+(y/-7) = 2 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+(y/-7)+7 = 2+7 strategic 1 OK typein y/-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+(y/-7)+7 = 2+7 strategic 2 OK typein 9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = 9 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7*-7 = 9*-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:27:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7*-7 = 9*-7 strategic 2 OK typein -63 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 3/y strategic 1 BUG multiply 3 To remove the coefficient of 3/y, you need to divide. Erase your last step and then divide both sides by 3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:13.0 HINT HINT ES_02 ES_02-9 EG44 3 = 3/y strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:14.0 HINT HINT ES_02 ES_02-9 EG44 3 = 3/y strategic 3 NEXT_HINT 3/y is 3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:20.0 HINT HINT ES_02 ES_02-9 EG44 3 = 3/y strategic 4 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:22.0 HINT HINT ES_02 ES_02-9 EG44 3 = 3/y strategic 5 NEXT_HINT 3/y is 3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:25.0 HINT HINT ES_02 ES_02-9 EG44 3 = 3/y strategic 6 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 3/y strategic 7 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 3/y*y strategic 1 OK mt 3/y*y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 3 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y/3 = 3/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/y = -6 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:28:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/y*y = -6y strategic 1 OK mt 4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -6y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/-6 = -6y/-6 strategic 1 OK rf 4/-6 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/3 = -6y/-6 strategic 1 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x = -9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/x*x = -9x strategic 1 OK mt -4/x*x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/-9 = -9x/-9 strategic 1 OK rf -4/-9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/9 = -9x/-9 strategic 1 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/y = 3 strategic 1 BUG multiply -7 To remove the coefficient of -7/y, you need to divide. Erase your last step and then divide both sides by -7. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/y = 3 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:29:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/y*y = 3y strategic 1 OK mt -7/y*y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x = -8 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/x*x = -8x strategic 1 OK mt 4/x*x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/-8 = -8x/-8 strategic 1 OK rf 4/-8 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1/2 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y = -7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y*y = -7y strategic 1 OK mt -8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/-7 = -7y/-7 strategic 1 OK rf -8/-7 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:30:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/7 = -7y/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = 7/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:24.0 HINT HINT ES_02 ES_02-10 EG44 2x = 7/x*x strategic 1 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:26.0 HINT HINT ES_02 ES_02-10 EG44 2x = 7/x*x strategic 2 NEXT_HINT Type in 2x on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = 7/x*x strategic 3 OK typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:35.0 HINT HINT ES_02 ES_02-10 EG44 2x = 7/x*x strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:36.0 HINT HINT ES_02 ES_02-10 EG44 2x = 7/x*x strategic 5 NEXT_HINT Type in 7/x*x on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = 7/x*x strategic 6 OK typein 7/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:31:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = 7/x*x strategic 7 OK mt 7/x*x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR 7/x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:11.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 INITIAL_HINT 7/x You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG 7x 7x
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 OK 7x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 BUG 7x 7x
Perhaps you should fill in the denominator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:35.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-den-node strategic 2 INITIAL_HINT 1 You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 BUG 7x 7x
Perhaps you should fill in the denominator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 3 OK x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR 7x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR t default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK 7 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = 7 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:32:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x/2 = 7/2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x/2 = 7/2 strategic 2 OK typein 7/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = 2/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1y = 2/y*y strategic 1 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1y = 2/y*y strategic 2 OK typein 2/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1y = 2/y*y strategic 3 OK mt 2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 2y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1y = 2 strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1y/1 = 2/1 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:33:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1y/1 = 2/1 strategic 2 OK typein 2/1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = -2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -2/x*x strategic 1 OK typein 8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -2/x*x strategic 2 OK typein -2/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -2/x*x strategic 3 OK mt -2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -2x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x = -2 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -2/8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = -2/8 strategic 2 OK typein -2/8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:34:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = 3/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 3/y*y strategic 1 OK typein -3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 3/y*y strategic 2 OK typein 3/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 3/y*y strategic 3 OK mt 3/y*y default_condition hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y = 3 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/-3 = 3/-3 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 c1zVCHxCEz session12 2005-10-07 08:35:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3y/-3 = 3/-3 strategic 2 OK typein 3/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 ey9rvMnU57 session8 2005-10-14 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 BUG time spent time spent
Try time spent taking lessons. BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:37:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 BUG time spent time spent
Try time spent taking lessons. BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:37:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 3 OK time spent taking scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:37:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 ERROR x default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 90.75+25.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:38:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:39:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:39:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 2 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:40:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:40:22.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:40:36.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:40:47.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:41:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 ERROR 25.5x+90.75=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:41:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 ERROR 90.75+25.50x=192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:41:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 ERROR 90.75+25.50x= 192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:41:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 INITIAL_HINT 90.75+25.50x= 192.75 Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:42:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 ERROR 90.75+25.5x= 192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 10 ERROR 90.75+25.5x= 192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 90.75+25.5x=2385.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 11 ERROR 90.75+25.5x= 192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 12 ERROR 90.75+25.5x= 192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 13 ERROR 90.75+25.5x= 192.75 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 ERROR 90.75+25.5x=2385.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 14 INITIAL_HINT 90.75+25.5x= 192.75 Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:14.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 15 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 16 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 17 NEXT_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:38.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 18 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:43:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 19 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:44:10.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 20 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 ERROR 90.75+25.5x=2385.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:07.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 21 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:08.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 22 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:08.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 23 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:09.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 24 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:12.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 25 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:16.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 26 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:18.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 27 NEXT_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:18.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 28 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 29 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:19.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 30 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5x+90.75=192.75 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:47:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5X+90.75=192.75 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:48:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 192.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:48:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:48:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 31 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:48:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 ERROR 90.75+25.5x=2385.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:48:47.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 ERROR 90.75+25.5x=2385.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:49:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 25.5X+90.75=2385.75 25.5X+90.75=2385.75
Please check to make sure that 25.5X+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:49:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:49:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:49:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 7 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 OK amount of carpet default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 OK total cost default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK dollards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 BUG yards yards
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 2 BUG yards yards
YARDS is a measure of length, not area. Use square yards. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 3 OK square yards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK 13.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 ERROR 31.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:50:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 2 ERROR 31 1/2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:05.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 3 INITIAL_HINT 31 1/2 Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 4 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 5 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:19.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 6 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36A R5C1 7 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 8 OK 30.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:51:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 OK 279.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 OK 558 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 1 OK 13.95x=279 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 2 OK 13.95X=279 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95X = 279 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 3 OK 13.95X=558 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95X = 558 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:52:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:53:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK money spent default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:53:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:53:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:54:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:54:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:54:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:54:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 3 OK 330 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C2 1 OK 46000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 OK 27000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 1 OK 5000+5x=46000 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 2 OK 5000+5X=46000 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 5000+5X = 46000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 5X = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:55:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 3 OK 5000+5X=27000 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session8 2005-10-14 08:56:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 5000+5X = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:17:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 ERROR 5000+5x=27000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:17:10.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R7C1 2 INITIAL_HINT 5000+5x=27000 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:17:41.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R7C1 3 NEXT_HINT You know that the expression 5X + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5X + 5000 output the given value of 27000 points? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:17:48.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R7C1 4 NEXT_HINT Since the general expression for total number of travel points is 5X + 5000 and since total number of travel points in this question is 27000, set the two of them equal to find the amount spent on long distance. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:01.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R7C1 5 NEXT_HINT You know that the expression 5X + 5000 represents total number of travel points. What value of the amount spent on long distance will make the general expression 5X + 5000 output the given value of 27000 points? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:09.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R7C1 6 NEXT_HINT 27000 points is the given output value in this question, because it depends on the amount spent on long distance. What value of the amount spent on long distance does it take to output 27000 points? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 2 OK 5000+5X=27000 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C ValidEquations 1 OK 5000+5x=27000 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 5000+5X = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C 5X = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:18:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 7 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:19:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK area of construction default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:19:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK cost of construction default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:19:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK square feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:19:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:19:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:20:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 ERROR 253 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:20:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 2 OK 235 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:20:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 1 ERROR 1777750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:20:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 2 OK 177750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:20:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C2 1 OK 18762.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 OK 39.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:21:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 1 OK 39.5x=177750 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:21:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 2 OK 39.5X=177750 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:21:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5X = 177750 strategic 1 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:21:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 3 OK 39.5X=18762.5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 39.5X = 18762.5 strategic 1 OK divide 39.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 OK 475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time from now default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK total distance default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:22:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 ERROR x default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 2 ERROR houra default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 3 ERROR houra default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 4 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 2 OK miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 ERROR 96 default_condition Convert unit, mixed Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:23:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 2 INITIAL_HINT 96 Enter the value for question 2 in hours. HINT 1 default_condition Convert unit, mixed Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:00.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 3 NEXT_HINT You know that the time is one hour and thirty-six minutes. Convert 36 minutes to hours and then add 1 hour. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 4 NEXT_HINT There are 60 minutes in a hour. What is one hour and thirty-six minutes in hours? HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 5 NEXT_HINT To convert from minutes to hours, divide the number of minutes by 60. 36 minutes is 0.6 hours. Add 1 hour to this for a total of 1.6 hours. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R5C1 6 NEXT_HINT Enter 1.6 HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 7 OK 1.6 default_condition Convert unit, mixed Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:24:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:25:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 OK 1750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:25:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 BUG 1750 1750
You entered 1,750 in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:25:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 2 INITIAL_HINT 1750 Read the problem statement. What information is given in question 4 about the total distance it has flown? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:25:37.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 3 NEXT_HINT Important information about the total distance it has flown is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:25:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C2 4 NEXT_HINT Type the total distance it has flown, measured in miles into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:25:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 5 OK 3500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:26:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 OK 1250x+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250x+750=1750 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250X+750=1750 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X+750 = 1750 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X = 1000 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 3 OK 1250X+750=3500 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:27:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X+750 = 3500 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:28:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X = 2750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:28:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 OK 11/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:28:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 1 OK number of students default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:28:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 1 BUG number of students receiving an A or B number of students receiving an A or B
Your input describes the same quantity as the number of students earning an A or B in Algebra. You already have a column for the number of students earning an A or B in Algebra. What else is mentioned in the problem statement? BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 2 OK number of students enrolled default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 1 OK 47 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C2 1 OK 93 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C2 1 ERROR 45 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C2 1 BUG 375 375
You entered 375 in the wrong column. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C2 2 ERROR 375 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C2 2 ERROR 45 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C2 3 ERROR 375 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:29:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C1 1 OK 375 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 1 ERROR 45 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 2 ERROR 45 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 3 OK 145 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 1 ERROR 20x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:40.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 2 INITIAL_HINT 20x Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 3 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 4 NEXT_HINT Write an expression that means the same thing as 20 percent of the number of students in algebra. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:52.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 5 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 20 percent is the same as 0.2 HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:30:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 6 OK 0.2x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 1 OK 0.2x=47 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 2 OK 0.2X=47 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2X = 47 strategic 1 OK divide 0.2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 OK 235 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 3 OK 0.2X=93 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 0.2X = 93 strategic 1 OK divide 0.2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 OK 465 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:31:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C1 1 OK number of people default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C2 1 OK cost of the cake default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C2 1 ERROR 55 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:32:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C2 2 OK 54 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C2 1 OK 70.20 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C2 1 OK 1.35x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 1 OK 1.35x=54 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 2 OK 1.35X=54 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 1.35X = 54 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 3 OK 1.35X=70.2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 1.35X = 70.2 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C1 1 OK 52 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK number of snow cones default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK profit default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK dolalrs default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:35:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 OK 0.50x-50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK 0.5x-50=300 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:35:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK 0.5X-50=300 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:35:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5X-50 = 300 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5X = 350 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 3 OK 0.5X-50=153.5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5X-50 = 153.5 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5X = 203.5 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:36:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 1 BUG lenght of the mobile lenght of the mobile
Although mobile is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 2 OK lenght of the mobile telephone call default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 1 OK total cost of call default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 1 OK 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 1 OK 15 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C2 1 OK 7 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C2 1 OK 23.500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:37:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 1 OK .50x+3.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 1 OK 0.5x+3=7 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 2 OK 0.5X+3=7 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5X+3 = 7 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5X = 4 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 1 OK 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C ValidEquations 3 OK 0.5X+3=23.5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5X+3 = 23.5 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C 0.5X = 20.5 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:38:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 1 OK 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 BUG total cost total cost
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 2 BUG total cost total cost
You're close. How about the total cost of the order? BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 3 OK total cost of the order default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:39:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:40:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 ERROR 255 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:40:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 2 ERROR 255 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:40:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 3 ERROR 254.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:40:55.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 4 INITIAL_HINT 254.75 Read the problem statement. What information is given in question 4 about the total cost of the order? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:40:57.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 5 NEXT_HINT Important information about the total cost of the order is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:02.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 6 NEXT_HINT Type the total cost of the order, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:14.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 7 NEXT_HINT Important information about the total cost of the order is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 8 NEXT_HINT Read the problem statement. What information is given in question 4 about the total cost of the order? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:25.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 9 NEXT_HINT Important information about the total cost of the order is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:32.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 10 NEXT_HINT Type the total cost of the order, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:33.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 11 NEXT_HINT Important information about the total cost of the order is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:34.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 12 NEXT_HINT Type the total cost of the order, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 13 ERROR 255 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:42:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 14 ERROR 255.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:42:07.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 15 NEXT_HINT Important information about the total cost of the order is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 16 ERROR 63.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:42:35.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 17 INITIAL_HINT 63.75 Important information about the total cost of the order is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:42:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R7C2 18 NEXT_HINT Type the total cost of the order, measured in dollars into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 19 ERROR 333.33 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 20 ERROR 333.33 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:47:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 21 ERROR 333.33 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:47:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 BUG 333.33 333.33
Subtract the initial value, 25, from the cost of the items first before you divide by 0.75. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:48:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 22 OK 250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:49:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR 25x-.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:49:55.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 INITIAL_HINT 25x-.25 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:49:58.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:50:13.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:50:18.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:50:47.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 NEXT_HINT Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:51:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 ERROR x-.25*25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:51:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 8 ERROR x-.25*25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:51:22.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 9 NEXT_HINT Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:51:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 10 OK x-.25x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 OK x-0.25x+25=231.25 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 OK X-0.25X+25=231.25 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 231.25 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X = 206.25 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK X-0.25X+25=250 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 250 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:52:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X = 225 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:53:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 2 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK cellular phone time used default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 ERROR mintures default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 2 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK amount of the next bill default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 ERROR 5.26x+.21 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:32.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 2 INITIAL_HINT 5.26x+.21 Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:40.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 3 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:47.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:55:55.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 5 NEXT_HINT Write an expression that means the same thing as -5.26 dollars plus 0.21 times the cellular phone time used next month. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:56:02.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 6 NEXT_HINT Enter -5.26 plus 0.21X HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session9 2005-10-19 08:56:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 7 OK -5.26+.21x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:18:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK -5.26+0.21X=15.74 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:18:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK -5.26+0.21x=15.74 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:19:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 1 BUG add -5.26 To remove -5.26 from the left side, you can add a positive to it. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:19:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 2 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:19:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:19:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 3 OK -5.26+0.21X=20 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:19:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 20 strategic 1 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:20:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 25.26 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:20:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:21:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK number of hours default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:21:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:21:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK temperature of the liquid default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:21:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:22:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 2 OK degrees celsius default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:22:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:22:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:22:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:22:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 BUG 72 72
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:22:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 2 OK -72 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:23:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:23:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 BUG -36+4.5x -36+4.5x
Does the temperature of the liquid go up or down when the number of hours from now increases? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:23:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 2 OK -36-4.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -36-4.5x=-72 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-4.5X=-72 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = -72 strategic 1 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5X = -36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 3 OK -36-4.5X=0 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = 0 strategic 1 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5X = 36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:24:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:25:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:25:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:25:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 OK months default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:25:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of the mine default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:25:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 OK -120 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR -1550 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:26:59.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 2 INITIAL_HINT -1550 Read the problem statement. What information is given in question 4 about the depth of the mine? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:02.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 3 NEXT_HINT Important information about the depth of the mine is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:10.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 4 NEXT_HINT Type the depth of the mine, measured in feet into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:22.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 5 NEXT_HINT Important information about the depth of the mine is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:23.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R7C2 6 NEXT_HINT Read the problem statement. What information is given in question 4 about the depth of the mine? HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 7 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR -1550x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:42.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 2 INITIAL_HINT -1550x Enter an expression to calculate the depth of the mine using the digging time. HINT 1 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:44.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 3 NEXT_HINT First consider the initial value of the depth of the mine. Next consider how the depth of the mine will change for each month. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:49.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of the depth of the mine minus the change in the depth of the mine for each month times the digging time. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:27:55.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R3C2 5 NEXT_HINT Write an expression that means the same thing as -1550 minus 7 times the digging time. HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 6 OK -1550-7x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7X=-1564 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7x=-1564 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = -1564 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 3 OK -1550-7X=0 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:28:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7X = 0 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:29:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7X = 1550 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:29:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 OK -1550/7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:30:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:30:20.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:30:29.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:30:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:30:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 8/2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:31:02.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:31:14.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7(5+7) strategic 1 OK clt 5+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:31:18.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -7*12 strategic 1 OK mt -7*12 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:31:31.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5-5)*-3 strategic 1 OK clt -5-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:31:38.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*-3 strategic 1 OK mt -10*-3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:32:20.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -7-4*-8 strategic 1 ERROR clt -7-4*-8 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:32:43.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -7-4*-8 strategic 2 OK mt 4*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:00.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -7-(-32) strategic 1 OK clt -7-(-32) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:09.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-7*-6 strategic 1 OK mt 7*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:14.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-(-42) strategic 1 OK clt -4-(-42) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:21.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3*2-8 strategic 1 OK mt 3*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:27.0 CYCLE CYCLE ES_02 ES_02-1 EG29 6-8 strategic 1 OK clt 6-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:37.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+10)*-2 strategic 1 OK clt -9+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:40.0 CYCLE CYCLE ES_02 ES_02-1 EG30 1*-2 strategic 1 OK mt 1*-2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:48.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+2*-8 strategic 1 OK mt 2*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:33:51.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+(-16) strategic 1 OK clt -9+(-16) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:34:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7(-9-5) strategic 1 OK clt -9-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:34:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -9-5 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:34:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 7(-14)) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:34:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 7(-14) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:34:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7*-14 strategic 1 OK mt 7*-14 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -98 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4-3)*-8 strategic 1 OK clt -4-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 1*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 1(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 1(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR 1(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR -1(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:35:54.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 6 INITIAL_HINT -1(-8) You need to combine like terms in (-4-3)*-8. HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:36:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 OK -7(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:36:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*-8 strategic 1 OK mt -7*-8 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:36:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 OK 56 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:36:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*-2-1 strategic 1 OK mt -2*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:36:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 4-1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:36:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4-1 strategic 1 OK clt 4-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:37:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:37:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(-6-2) strategic 1 OK clt -6-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:37:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -5(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:37:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-8 strategic 1 OK mt -5*-8 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:37:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 40 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:37:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-8*-9 strategic 1 OK mt 8*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:38:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -7- default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:38:25.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -7-72 -7-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:38:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 BUG -7-72 -7-72
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:38:47.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR -7-1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:38:47.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 5 INITIAL_HINT -7-1 You need to perform multiplication in -7-8*-9. HINT 1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:38:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -7+72 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:39:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7+72 strategic 1 OK clt -7+72 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:39:15.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK 65 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:39:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6-8)*-6 strategic 1 OK clt -6-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:39:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -14(-6) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:39:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -14*-6 strategic 1 OK mt -14*-6 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:39:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 84 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2+4*-9 strategic 1 OK mt 4*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -2+(-36 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -2+(-36) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-36 strategic 1 OK clt -2-36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -38 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*-10-1 strategic 1 OK mt -2*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:40:57.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 20 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 20-1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 20-1 strategic 1 OK clt 20-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 19 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:16.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-6*0 strategic 1 OK mt 6*0 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 4-0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 4-0 strategic 1 OK clt 4-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:41:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:42:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 7-8*-5 strategic 1 OK mt 8*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:42:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG 7-40 7-40
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:42:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG 7-40 7-40
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 7-(-40) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 7+40 strategic 1 OK clt 7+40 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 OK 47 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-9*3 strategic 1 OK mt 9*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 27 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 27 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -1-27 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-27 strategic 1 OK clt -1-27 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:43:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -28 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*7-2 strategic 1 OK mt -2*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -14-2 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:23.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -14-2 strategic 1 OK clt -14-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -16 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-6*1 strategic 1 OK mt 6*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -5-6 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:44:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5-6 strategic 1 OK clt -5-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (9-7)*4 strategic 1 OK clt 9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 2(4) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2*4 strategic 1 OK mt 2*4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 8 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-5*1 strategic 1 OK mt 5*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -3-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:45:52.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-5 strategic 1 OK clt -3-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:14.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-5-9)*-2 = y strategic 1 OK clt -5-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:18.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -14*-2 = y strategic 1 OK mt -14*-2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:26.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -46(-47+4) = x strategic 1 OK clt -47+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:29.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -46*-43 = x strategic 1 OK mt -46*-43 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:38.0 CYCLE CYCLE ES_02 ES_02-3 EG32 0-6*-8 = y strategic 1 OK mt 6*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:42.0 CYCLE CYCLE ES_02 ES_02-3 EG32 0-(-48) = y strategic 1 OK clt 0-(-48) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:50.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -5*-7-3 strategic 1 OK mt -5*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:46:53.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = 35-3 strategic 1 OK clt 35-3 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:00.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-14-3)*-16 strategic 1 OK clt -14-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:02.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -17*-16 strategic 1 OK mt -17*-16 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:11.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -34-13*32 = y strategic 1 OK mt 13*32 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:14.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -34-416 = y strategic 1 OK clt -34-416 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -4(-36-20) = x strategic 1 OK clt -36-20 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -4(-56) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:47:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -4*-56 = x strategic 1 OK mt -4*-56 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:03.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 224 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (0+8)*5 = x strategic 1 OK clt 0+8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 ERROR 8(5 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 8(5) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:27.0 CYCLE CYCLE ES_02 ES_02-4 EG34 8*5 = x strategic 1 OK mt 8*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 OK 40 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = -9(-9+5) strategic 1 OK clt -9+5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 ERROR -45 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 ERROR - default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 3 ERROR - default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 4 ERROR - default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 5 ERROR - default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:58.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 6 ERROR - default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 7 ERROR -4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:48:59.0 HINT HINT ES_02 ES_02-4 EG35 FinalAnswer strategic 8 INITIAL_HINT -4 You need to combine like terms in -9(-9+5). HINT 1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:49:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 9 OK -9(-4) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:49:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35 x = -9*-4 strategic 1 OK mt -9*-4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:49:24.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 10 OK 36 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:49:31.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-46-47)*-21 strategic 1 OK clt -46-47 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:49:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -93(-21) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:49:54.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -93*-21 strategic 1 OK mt -93*-21 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:50:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 1953 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:50:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -1(-33-48) = x strategic 1 OK clt -33-48 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:50:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 ERROR -1( default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:50:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -1(-81) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:50:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -1*-81 = x strategic 1 OK mt -1*-81 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:50:53.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK 81 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:51:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34C x = (-8-43)*45 strategic 1 OK clt -8-43 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:51:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -51*45 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:51:26.0 CYCLE CYCLE ES_02 ES_02-4 EG34C x = -51*45 strategic 1 OK mt -51*45 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:51:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK -2295 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:51:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34B (-22+21)*-18 = y strategic 1 OK clt -22+21 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK -1*-18 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34B -1*-18 = y strategic 1 OK mt -1*-18 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 18 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35A 28(31-5) = x strategic 1 OK clt 31-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK 28*26 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35A 28*26 = x strategic 1 OK mt 28*26 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:52:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 728 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:03.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -41(7+25) strategic 1 OK clt 7+25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 ERROR -14*32 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:16.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -41*32 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:20.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -41*32 strategic 1 OK mt -41*32 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK -1312 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:42.0 CYCLE CYCLE ES_02 ES_02-4 EG34B (-36-15)*-48 = y strategic 1 OK clt -36-15 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:53:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK -51*-48 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34B -51*-48 = y strategic 1 OK mt -51*-48 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 2448 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:20.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-38-8)*-38 strategic 1 OK clt -38-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -46*-38 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -46*-38 strategic 1 OK mt -46*-38 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 1748 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:54:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -40(38-50) strategic 1 OK clt 38-50 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:09.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -40*-12 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -40*-12 strategic 1 OK mt -40*-12 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 480 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 24(28-41) = y strategic 1 OK clt 28-41 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:38.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 24*-13 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 24*-13 = y strategic 1 OK mt 24*-13 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session10 2005-10-26 08:55:52.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -312 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:25:03.0 CYCLE CYCLE ES_02 ES_02-4 EG34C (-18-24)*-44 = x strategic 1 OK clt -18-24 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:26:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -42*-44 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:26:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34C -42*-44 = x strategic 1 OK mt -42*-44 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:26:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK 1848 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:26:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 29(-33-16) = y strategic 1 OK clt -33-16 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:26:45.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 29*-49 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:26:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 29*-49 = y strategic 1 OK mt 29*-49 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:03.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 ERROR 1421 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 3 OK -1421 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 5x+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-7 = 5x+7-7 strategic 1 OK clt 5x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-7 = 5x strategic 1 OK clt 1-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 5x strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:27:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/5 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -8+5y strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+8 = -8+5y+8 strategic 1 OK clt -8+5y+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+8 = 5y strategic 1 OK clt -5+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 5y strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3/5 = 5y/5 strategic 1 OK rf 5y/5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-5x = -8 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:28:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9-5x-9 = -8-9 strategic 1 OK clt 9-5x-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:29:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5x = -8-9 strategic 1 OK clt -8-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:29:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5x = -17 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:29:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5x/-5 = -17/-5 strategic 1 OK rf -5x/-5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:29:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -17/-5 strategic 1 OK rf -17/-5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:29:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 6-9x strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:30:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 1 ERROR typein 3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:30:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 2 ERROR typein -3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:30:32.0 HINT HINT ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 3 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:30:35.0 HINT HINT ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 4 NEXT_HINT Type in -2-6 on the left. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:30:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 5 OK typein -2-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:31:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 6 ERROR typein 9x-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:31:29.0 HINT HINT ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:31:31.0 HINT HINT ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 8 NEXT_HINT Type in 6-9x-6 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:31:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 9 OK typein 6-9x-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:31:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = 6-9x-6 strategic 10 OK clt 6-9x-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:32:36.0 HINT HINT ES_02 ES_02-6 EG40 xR2 strategic 1 INITIAL_HINT From the original equation at the top, select -9x and drag it to the correct box above. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:33:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:33:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 2 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the x terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:34:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 3 OK -9x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:34:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 6 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:34:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 OK -6 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:35:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 xR2 strategic 2 OK -9x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:35:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant termsR2 strategic 1 OK 0 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:35:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -9x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:35:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2-6 = -9x strategic 1 OK clt -2-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:36:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:36:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:43:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/-9 = -9x/-9 strategic 1 OK typein -8/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:43:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/-9 = -9x/-9 strategic 2 OK typein -9x/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:43:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/-9 = -9x/-9 strategic 3 OK rf -9x/-9 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:44:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK x default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:44:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/-9 = x strategic 1 OK rf -8/-9 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:44:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 4 ERROR .8 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:44:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 5 ERROR .8 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:44:57.0 HINT HINT ES_02 ES_02-6 EG40 FinalAnswer strategic 6 INITIAL_HINT .8 Above is the simplified form of the expression -8/-9. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:45:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 7 OK 8/9 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:45:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 7+2y strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 7+2y-7 strategic 1 OK typein 7+2y-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 7+2y-7 strategic 2 OK typein -8-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 7+2y-7 strategic 3 OK clt 7+2y-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 2y default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 2y strategic 1 OK clt -8-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -8-7 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8-7 = 2y strategic 2 OK clt -8-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:46:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -15 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:47:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:47:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/2 = 2y/2 strategic 1 OK typein 2y/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:47:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15 = 2y strategic 2 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:47:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/2 = 2y/2 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:47:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -15/2 = 2y/2 strategic 3 OK typein -7.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = 5x+5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-5 = 5x+5-5 strategic 1 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-5 = 5x+5-5 strategic 2 OK typein 5x+5-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-5 = 5x+5-5 strategic 3 OK typein -3-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-5 = 5x+5-5 strategic 4 OK clt 5x+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 x1R1 strategic 1 OK 5x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms1R1 strategic 1 OK 5 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:48:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 constant terms2R1 strategic 1 BUG - -
Like terms look similar, such as all constants or x^2 terms. The term you dragged, -, is not one of the constant terms. BUG default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 BUG 10x 10x
Perhaps you should fill in all the x terms above. BUG default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 5x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3-5 = 5x strategic 1 OK clt -3-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 3 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = 5x strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/5 = 5x/5 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:49:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/5 = 5x/5 strategic 2 OK typein -1.6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x-8 = 6 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x-8+8 = 6+8 strategic 1 OK typein 9x-8+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x-8+8 = 6+8 strategic 2 OK typein 6+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x-8+8 = 6+8 strategic 3 OK clt 9x-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 9x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = 6+8 strategic 1 OK clt 6+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK 14 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x = 14 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = 14/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:50:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9x/9 = 14/9 strategic 2 OK typein 14/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 3x-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+3 = 3x-3+3 strategic 1 OK typein 5+3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 3x-3 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+3 = 3x-3+3 strategic 2 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:41.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+3 = 3x-3+3 strategic 3 OK typein 3x-3+3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 3x-3+3 strategic 1 OK clt 3x-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:51:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK 3x default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:52:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:52:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8/3 = 3x/3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:52:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8/3 = 3x/3 strategic 2 OK typein 8/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:52:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+(y/-10) = 3 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:52:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+(y/-10)+6 = 3+6 strategic 1 OK clt -6+(y/-10)+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:52:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10 = 3+6 strategic 1 OK clt 3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10 = 9 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10*-10 = 9*-10 strategic 1 ERROR clt y/-10*-10 = 9*-10 strategic default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-10*-10 = 9*-10 strategic 2 OK mt y/-10*-10 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 9*-10 strategic 1 OK mt 9*-10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = y/-7-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+2 = y/-7-2+2 strategic 1 OK clt y/-7-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+2 = y/-7 strategic 1 OK clt -1+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:53:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/-7 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:54:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-7 = y/-7*-7 strategic 1 OK mt y/-7*-7 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:54:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-7 = y strategic 1 OK mt 1*-7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:10.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = x/-3-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5+3 = x/-3-3+3 strategic 1 OK clt x/-3-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5+3 = x/-3 strategic 1 OK clt -5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = x/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*-3 = x/-3*-3 strategic 1 OK mt x/-3*-3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*-3 = x strategic 1 ERROR clt -2*-3 = x strategic default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*-3 = x strategic 2 OK mt -2*-3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:55:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+9 = 2 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session11 2005-10-28 08:56:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-2+9-9 = 2-9 strategic 1 OK typein y/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:22:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = -8+(x/-6) strategic 1 BUG subtract 8 Since -8 is negative, you should add to remove it from the right side. Erase your last step and add 8 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = -8+(x/-6) strategic 2 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 1 OK typein 3+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 2 ERROR typein -8+8(8/6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 3 ERROR typein 8(8/6) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:44.0 HINT HINT ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 4 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:47.0 HINT HINT ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 5 NEXT_HINT Type in -8+(x/-6)+8 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:23:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 6 ERROR typein -8+(8/6)+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:24:00.0 HINT HINT ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 7 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:24:02.0 HINT HINT ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 8 NEXT_HINT Type in -8+(x/-6)+8 on the right. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:24:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 9 BUG typein -8+(x/6)+8 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:24:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8+(x/-6)+8 strategic 10 OK typein -8+(x/-6)+8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:24:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = -8-x/6+8 strategic 1 OK clt -8-x/6+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:25:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/-6 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:25:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3+8 = x/-6 strategic 1 OK clt 3+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:25:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:25:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11 = x/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:25:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-6 = x/-6*-6 strategic 1 OK typein -66 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:25:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 11*-6 = x/-6*-6 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:26:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/2 = -8 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:26:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/2+7 = -8+7 strategic 1 OK typein -7+x/2+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:26:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/2+7 = -8+7 strategic 2 OK typein -8+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+x/2+7 = -8+7 strategic 3 OK clt -7+x/2+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/2 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2 = -8+7 strategic 1 OK clt -8+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2 = -1 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = -1*2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:27:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = -1*2 strategic 2 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3 = x/4+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-8 = x/4+8-8 strategic 1 BUG typein -3-(-8) -3-[-8] is equal to -3 plus 8. You need to calculate -3 minus 8. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-8 = x/4+8-8 strategic 2 OK typein -3-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-8 = x/4+8-8 strategic 3 ERROR typein 8-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-8 = x/4+8-8 strategic 4 OK typein x/4+8-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-8 = x/4+8-8 strategic 5 OK clt x/4+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 xR2 strategic 1 OK x/4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:28:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3-8 = x/4 strategic 1 OK clt -3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -11 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -11 = x/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -11*4 = x/4*4 strategic 1 OK typein -44 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -11*4 = x/4*4 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+(y/-3) = -6 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+(y/-3)+6 = -6+6 strategic 1 BUG typein -6+y/3+6 You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:29:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+(y/-3)+6 = -6+6 strategic 2 OK typein -6+y/-3+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6+(y/-3)+6 = -6+6 strategic 3 OK typein -6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6-y/3+6 = -6+6 strategic 1 OK clt -6-y/3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 BUG y/3 y/3
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 BUG y/3 y/3
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK y/-3 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3 = -6+6 strategic 1 OK clt -6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 ERROR -1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK 0 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:30:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3 = 0 strategic 1 ERROR mt y/-3 = 0 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3 = 0 strategic 2 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3*-3 = 0*-3 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-3*-3 = 0*-3 strategic 2 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-6 = 9 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-6+6 = 9+6 strategic 1 OK typein y/-4-6+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-6+6 = 9+6 strategic 2 OK typein 9+6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-6+6 = 9+6 strategic 3 OK clt y/-4-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/-4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4 = 9+6 strategic 1 OK clt 9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:31:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK 15 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4 = 15 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 15*-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 15*-4 strategic 2 OK typein -60 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = -7+(x/-4) strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+7 = -7+(x/-4)+7 strategic 1 OK typein -8+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+7 = -7+(x/-4)+7 strategic 2 OK typein -7+x/-4+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+7 = -7-x/4+7 strategic 1 OK clt -7-x/4+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:32:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/-4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:33:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8+7 = x/-4 strategic 1 OK clt -8+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:33:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK -1 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:33:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:33:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-4 = x/-4*-4 strategic 1 OK typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:33:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-4 = x/-4*-4 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:33:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -9 strategic 1 BUG multiply -10 To remove the coefficient of -10/x, you need to divide. Erase your last step and then divide both sides by -10. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:34:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -9 strategic 2 ERROR divide -10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:34:10.0 HINT HINT ES_02 ES_02-9 EG44 (-10/x)/-10 = -9/-10 strategic 1 INITIAL_HINT default_condition [SkillRule: invert-mult; {ivm}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:34:14.0 HINT HINT ES_02 ES_02-9 EG44 (-10/x)/-10 = -9/-10 strategic 2 NEXT_HINT Dividing by a fraction is the same as multiplying by its inverse. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:34:18.0 HINT HINT ES_02 ES_02-9 EG44 (-10/x)/-10 = -9/-10 strategic 3 NEXT_HINT Invert and multiply to convert the division to multiplication. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:34:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -9 strategic 3 BUG divide 10 In this equation, x is multiplied by -10. Dividing by 10 leaves -x, so you still need to remove the negative sign. It is better to divide by -10, since that would leave x. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:34:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -9 strategic 4 ERROR divide -10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 (-10/x)/-10 = -9/-10 strategic 4 ERROR clt (-10/x)/-10 = -9/-10 strategic default_condition [SkillRule: invert-mult; {ivm}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:10.0 HINT HINT ES_02 ES_02-9 EG44 -10/x = -9 strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:12.0 HINT HINT ES_02 ES_02-9 EG44 -10/x = -9 strategic 6 NEXT_HINT -10/x is -10 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:17.0 HINT HINT ES_02 ES_02-9 EG44 -10/x = -9 strategic 7 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -9 strategic 8 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x*x = -9x strategic 1 ERROR clt -10/x*x = -9x strategic default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x*x = -9x strategic 2 OK mt -10/x*x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-9 = -9x/-9 strategic 1 ERROR rds -10/-9 = -9x/-9 strategic default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:35:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-9 = -9x/-9 strategic 2 OK rf -10/-9 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/9 = -9x/-9 strategic 1 OK rf -9x/-9 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y = -3 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/y*y = -3y strategic 1 OK mt 5/y*y default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -3y strategic 1 ERROR rf 5 = -3y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -3y strategic 2 BUG multiply -3 To remove the coefficient of -3y, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -3y strategic 3 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-3 = -3y/-3 strategic 1 OK rf 5/-3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:36:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/3 = -3y/-3 strategic 1 OK rf -3y/-3 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:37:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = -4 strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:37:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = -4 strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x*x = -4x strategic 1 OK mt 2/x*x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -4x strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-4 = -4x/-4 strategic 1 OK rf -4x/-4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-4 = x strategic 1 OK rf 2/-4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = 8/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y = 8/y*y strategic 1 OK mt 8/y*y default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:38:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y = 8 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = 8/4 strategic 1 OK rf 8/4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = 2 strategic 1 OK rf 4y/4 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1 = 4/y strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1 = 4/y strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y = 4/y*y strategic 1 OK mt 4/y*y default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y = 4 strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 1y/1 = 4/1 strategic 1 OK rf 1y/1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 4/1 strategic 1 OK rf 4/1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x = -7 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:39:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x*x = -7x strategic 1 OK mt 9/x*x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/-7 = -7x/-7 strategic 1 OK rf 9/-7 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/7 = -7x/-7 strategic 1 OK rf -7x/-7 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -10 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y*y = -10y strategic 1 OK mt 7/y*y default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = -10y strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/-10 = -10y/-10 strategic 1 OK rf -10y/-10 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/-10 = y strategic 1 OK rf 7/-10 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:40:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -9/x strategic 1 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:41:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -9/x strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:41:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -9/x*x strategic 1 OK typein 9*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:41:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -9/x*x strategic 2 OK typein -9/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:41:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -9/x*x strategic 3 OK mt -9/x*x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG -9/x -9/x
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -9 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR -9 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:10.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 INITIAL_HINT -9 You need to multiply the numerators together. HINT 1 default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 OK -9x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -9x/x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:42:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -9x/x strategic 1 OK rf -9x/x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:43:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK -9 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:43:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -9 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:43:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = -9/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:43:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = -9/9 strategic 2 OK typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:43:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x = 2 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 2x strategic 1 OK typein -3/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 2x strategic 2 OK typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/x*x = 2x strategic 3 OK mt -3/x*x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -3x/x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3x/x = 2x strategic 1 OK rf -3x/x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -3 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:44:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/2 = 2x/2 strategic 1 OK typein -3/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -3/2 = 2x/2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x = 9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x*x = 9x strategic 1 OK typein 4/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x*x = 9x strategic 2 OK typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x*x = 9x strategic 3 OK mt 4/x*x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 4x/x default_condition perform-mult-r-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4x/x = 9x strategic 1 OK rf 4x/x default_condition hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK 4 default_condition simplify-fractions-sp hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:45:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:46:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/9 = 9x/9 strategic 1 OK typein 4/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra ey9rvMnU57 session12 2005-11-02 08:46:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/9 = 9x/9 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra f4fNYL73Z2 session20 2005-11-30 08:32:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK TIME SPENT TAKING SCUBA LESSONS default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:32:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:33:05.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK TOTAL COST OF SCUBA LESSONS default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:33:10.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:34:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 BUG 90.75-25.50*x 90.75-25.50*x
Does total cost of scuba lessons go up or down when time spent taking lessons increases? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:34:39.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 2 INITIAL_HINT 90.75-25.50*x Enter an expression to calculate total cost of scuba lessons using time spent taking lessons. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:34:41.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 3 NEXT_HINT First consider the initial value of total cost of scuba lessons. Next consider how total cost of scuba lessons will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:34:44.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of total cost of scuba lessons plus the change in total cost of scuba lessons for each hour times time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:34:48.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 5 NEXT_HINT Write an expression that means the same thing as 90.75 dollars plus 25.5 times time spent taking lessons. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:34:51.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 6 NEXT_HINT Enter 90.75 plus 25.5X HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 7 OK 90.75+25.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 10 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 ERROR 2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:56.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 INITIAL_HINT 2 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:35:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 ERROR 3 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 ERROR 60 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 ERROR 70 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:13.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 INITIAL_HINT 70 Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 ERROR 80 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:36:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 6 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:40:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 ERROR Mark E. Baldauf, Kathleen M. Baldauf,Jennifer L. Baldauf, & Anna K. Baldauf default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 2 OK amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:40:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:42:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 OK sqaure yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:42:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:42:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:47:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK 13.95*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 ERROR 3.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 2 ERROR 30. default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 ERROR 5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 3 OK 30.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 OK 279.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 ERROR 585.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 2 OK 558.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:49:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 2 OK 279.00/13.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:49:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 558.00/13.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:52:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C1 1 OK amount of money spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:52:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 1 OK total nu,ber of points default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:52:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session20 2005-11-30 08:52:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:35:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 OK 40.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:35:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:35:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 3 ERROR 27.15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:36:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C2 1 ERROR 27.50 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:39:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session21 2005-12-07 08:39:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:14:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 OK 40.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:14:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 ERROR 27.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:14:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:14:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 3 OK 27.50*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:14:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:14:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:26:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 1 OK 5*X+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 1 OK 5X+5000=46000 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:27:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5X+5000 = 46000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:27:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5X = 41000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:27:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:28:47.0 HINT HINT CTA1_04 CTA1_04-2 REAL13A X = 8200 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:29:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A ValidEquations 1 OK 5X+5000=27000 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:29:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5X+5000 = 27000 strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:29:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A 5X = 22000 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:30:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:32:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 OK AREA OF CONSTRUCTION default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:32:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 OK SQUARE FT. default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:32:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:32:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 OK COST OF CONSTRUCTION default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:32:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:37:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:37:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 ERROR 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:37:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 2 OK 90+155 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:37:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 ERROR 321,7500.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:38:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 2 OK 321,750.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:38:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 OK 42,916.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:38:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK X*49.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:38:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 1 OK X*49.5=321750 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C X*49.5 = 321750 strategic 1 OK divide 49.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:39:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 OK 6500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:39:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C ValidEquations 2 OK X*49.5=42916.5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:39:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C X*49.5 = 42916.5 strategic 1 OK divide 49.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:39:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 867 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:41:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK TIME FROM NOW default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:41:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK TOTAL DISTANCE JET HAS FLOWN default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:41:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 ERROR MPH. default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:41:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 ERROR MPH. default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:41:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 2 ERROR MILES PER HOUR default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:41:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 3 BUG MINUTES MINUTES
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:42:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 2 OK MILES default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:42:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 4 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:42:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:42:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 ERROR 1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:42:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 2 ERROR 1.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:42:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 3 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 BUG 36 36
36 is the amount of minutes, but the question asks for one hour and thirty-six minutes. You need to convert this to hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session22 2005-12-14 08:44:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 ERROR 60+36 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:28:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 BUG 1250*x-750 1250*x-750
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:28:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 OK 1250*x+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:33:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C2 1 BUG 750 750
The total distance it has flown starts at 750. How much does it change when the time is 1.6? BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:34:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C2 2 ERROR 750*1.6 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:38:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:39:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 ERROR 3500 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:49:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 OK 1+36/60 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:49:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 OK 3500/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:49:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:50:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250x+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:50:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250X+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:51:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X+750 = 1750 strategic 1 BUG divide 750 You want to isolate 1250X by removing 750 from the left side. 750 is added to 1250X. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X+750 = 1750 strategic 2 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:51:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X = 1000 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:51:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 ERROR 4.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:51:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 3 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:51:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 3 OK 1250X+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:52:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X+750 = 3500 strategic 1 OK subtract 750 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:52:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250X = 2750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session23 2005-12-16 08:52:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 OK 11/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:26:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 1 OK STUDENTS ENROLLED IN ALGEBRA default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:27:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 1 OK NUMBER OF STUDENTS RECIEVING AN A OR B default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:27:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:27:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C1 1 OK 375 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:29:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 1 ERROR X*70 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:35:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 2 OK .20*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 1 OK 145 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:35:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 BUG 47 47
You entered 47 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:36:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 1 OK 47 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:36:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C2 1 OK 93 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:38:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 1 OK 47=0.2x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:38:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 2 OK 47=0.2X default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:38:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 47 = 0.2X strategic 1 OK divide .2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:39:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 2 OK 235 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:39:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B ValidEquations 3 OK 93=0.2X default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:39:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B 93 = 0.2X strategic 1 OK divide .2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:39:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 OK 465 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:40:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C1 1 OK poeple default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:40:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R1C2 1 OK cost of the cake default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:40:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:40:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:40:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:41:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C2 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:41:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C2 1 ERROR 5625 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:41:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C2 2 OK 56.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:47:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R3C2 1 OK 1.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 1 ERROR 5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 2 ERROR 85 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R6C1 3 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 1 ERROR 50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 2 ERROR 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 3 ERROR 55 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:20.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 4 INITIAL_HINT 55 56.25 dollars is the given output value in this question, because it depends on people. What value of people does it take to output 56.25 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:22.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 5 NEXT_HINT You know that the expression 1.25X represents the cost of the cake. What value of people will make the general expression 1.25X output the given value of 56.25 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:25.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 6 NEXT_HINT Since the general expression for the cost of the cake is 1.25X and since the cost of the cake in this question is 56.25, set the two of them equal to find people. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:28.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 7 NEXT_HINT Solve the equation 1.25X = 56.25. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 8 ERROR 53 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 9 ERROR 52 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 10 ERROR 51 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:48.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 11 INITIAL_HINT 51 Solve the equation 1.25X = 56.25. HINT 4 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 12 ERROR 56 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 13 ERROR 57 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 14 ERROR 58 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:53.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 15 INITIAL_HINT 58 Solve the equation 1.25X = 56.25. HINT 4 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:50:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 16 ERROR 59 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session24 2005-12-21 08:51:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 17 ERROR 59 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:25:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 1 ERROR 55 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 2 ERROR 50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:01.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 3 INITIAL_HINT 50 56.25 dollars is the given output value in this question, because it depends on people. What value of people does it take to output 56.25 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:04.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 4 NEXT_HINT You know that the expression 1.25X represents the cost of the cake. What value of people will make the general expression 1.25X output the given value of 56.25 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:07.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 5 NEXT_HINT Since the general expression for the cost of the cake is 1.25X and since the cost of the cake in this question is 56.25, set the two of them equal to find people. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:10.0 HINT HINT CTA1_04 CTA1_04-2 EMX03B R7C1 6 NEXT_HINT Solve the equation 1.25X = 56.25. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B ValidEquations 1 OK 1.25X=56.25 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B 1.25X = 56.25 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03B R7C1 7 OK 45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C1 1 OK CURRENT PAY default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R1C2 1 OK EMPLOYEES RAISE default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:28:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:28:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:28:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:28:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C2 1 ERROR 4%X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:35:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R3C2 2 OK .04X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R4C2 1 BUG 22000 22000
You entered 22,000.00 in the wrong column. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R4C1 1 OK 22000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:35:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R5C1 1 OK 44000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:35:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C1 1 BUG 6000 6000
You entered 6,000.00 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:36:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C2 1 OK 6000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:36:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C2 1 ERROR 360 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:36:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C1 1 ERROR 360 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:36:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C2 2 OK 3,360 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:40:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 ValidEquations 1 BUG 0.4X=6000 0.4X=6000
Please check to make sure that 0.4X=6000 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:40:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 0.4X = 6000 strategic 1 OK divide .4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:40:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C1 2 ERROR 15000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:40:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C1 3 ERROR 15000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:48:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C1 4 ERROR 15000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:48:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 ValidEquations 2 OK 0.04X=6000 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:48:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 0.04X = 6000 strategic 1 OK divide .04 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:48:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R6C1 5 OK 150000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:49:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 ValidEquations 3 OK 0.04X=3360 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 0.04X = 3360 strategic 1 OK divide .04 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:49:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04 R7C1 2 OK 84000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C1 1 OK TIME WORKED default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C2 1 OK TOTSL PAY default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R4C1 1 OK 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R5C1 1 OK 15.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C2 1 ERROR 7500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C2 2 ERROR 75.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C2 3 OK 975.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:50:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C2 1 OK 409.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:51:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C2 1 OK 11.50X default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:51:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A ValidEquations 1 OK 11.5X=975 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:51:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A 11.5X = 975 strategic 1 OK divide 11.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:51:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C1 1 OK 84.7826 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:52:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A ValidEquations 2 OK 11.5X=409.5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:52:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A 11.5X = 409.5 strategic 1 OK divide 11.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session25 2006-01-04 08:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C1 1 OK 35.6087 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:20:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R1C1 1 OK GROSS PAY default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:20:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:20:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R1C2 1 OK TAKE HOME PAY default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:20:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:20:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:20:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R4C1 1 OK 4000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:22:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R5C1 1 OK 35000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:22:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C2 1 OK 3468 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:22:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R7C2 1 OK 1513.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:30:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C2 1 OK .68x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:30:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A ValidEquations 1 OK 0.68x=3468 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:30:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A ValidEquations 2 OK 0.68X=3468 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:30:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A 0.68X = 3468 strategic 1 OK divide .68 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C1 1 OK 5100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A ValidEquations 3 OK 0.68X=1513 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A 0.68X = 1513 strategic 1 OK divide .68 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R7C1 1 OK 2225 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK namber of snow canes we sell default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK profit default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 ERROR * default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:31:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 2 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:32:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:32:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:32:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:32:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:32:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:32:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 ERROR 2.10x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 2 BUG 1.50x 1.50x
The profit increases by 1.5 each snow cone, but remember that it starts at -60 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 3 ERROR .60x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:42.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 4 INITIAL_HINT .60x Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 5 ERROR .60x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 6 ERROR .60x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:52.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 7 INITIAL_HINT .60x Enter an expression to calculate the profit using the number of snow cones we sell. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:53.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 8 NEXT_HINT First consider the initial value of the profit. Next consider how the profit will change for each snow cone. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:33:57.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 9 NEXT_HINT Write an expression that means the same thing as the initial value of the profit plus the change in the profit for each snow cone times the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:34:02.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 10 NEXT_HINT Write an expression that means the same thing as -60.00 dollars plus 1.5 times the number of snow cones we sell. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:34:05.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41C R3C2 11 NEXT_HINT Enter -60.00 plus 1.5X HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:34:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 12 OK -60.00+1.5x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 1 OK -60+1.5x=540 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 2 OK -60+1.5X=540 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C -60+1.5X = 540 strategic 1 BUG subtract 60 Since -60 is negative, you should add to remove it from the left side. Erase your last step and add 60 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C -60+1.5X = 540 strategic 2 OK add 60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5X = 600 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 3 OK -60+1.5X=283.5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C -60+1.5X = 283.5 strategic 1 OK add 60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:35:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 1.5X = 343.5 strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:36:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:36:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 OK length of moble telephone call default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:36:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:36:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:36:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C2 1 OK total cost of call default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:36:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:37:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 2 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:38:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:38:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:38:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 1 OK 22.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C2 1 OK 57.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 1 ERROR 1.25*2.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 2 ERROR 1.25*2.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:23.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R3C2 3 INITIAL_HINT 1.25*2.50x Enter an expression to calculate the cost of a mobile telephone call using the length of the phone call. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:24.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R3C2 4 NEXT_HINT First consider the initial value of the cost of a mobile telephone call. Next consider how the cost of a mobile telephone call will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:28.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R3C2 5 NEXT_HINT Write an expression that means the same thing as the initial value of the cost of a mobile telephone call plus the change in the cost of a mobile telephone call for each minute times the length of the phone call. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:31.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R3C2 6 NEXT_HINT Write an expression that means the same thing as 2.50 dollars plus 1.25 times the length of the phone call. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:34.0 HINT HINT CTA1_04 CTA1_04-3 DEC01 R3C2 7 NEXT_HINT Enter 2.50 plus 1.25X HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 8 OK 2.50+1.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 1 OK 2.5+1.25x=22.5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:39:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 2 OK 2.5+1.25X=22.5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 2.5+1.25X = 22.5 strategic 1 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X = 20 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 1 OK 16 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 3 OK 2.5+1.25X=57.5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 2.5+1.25X = 57.5 strategic 1 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25X = 55 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:40:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 1 OK 44 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK cellular phone time used next month default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 BUG months months
MONTHS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 2 BUG months months
MONTHS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:40.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R2C1 3 INITIAL_HINT months You need to enter a unit for measuring the cellular phone time used next month. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:41.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R2C1 4 NEXT_HINT What would you say if you were measuring the cellular phone time used next month? You would count one minute, two minutes, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 5 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:41:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK amount of the next bill default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:42:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:42:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:42:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:42:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:42:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 ERROR x5.26+00.21 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 2 BUG 5.26+00.21x 5.26+00.21x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 3 BUG 5.26+00.21x 5.26+00.21x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:35.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 4 INITIAL_HINT 5.26+00.21x Enter an expression to calculate balance on the next bill using the cellular phone time used next month. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:36.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 5 NEXT_HINT First consider the initial value of balance on the next bill. Next consider how balance on the next bill will change for each minute. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:39.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 6 NEXT_HINT Write an expression that means the same thing as the initial value of balance on the next bill plus the change in balance on the next bill for each minute times the cellular phone time used next month. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:43.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 7 NEXT_HINT Write an expression that means the same thing as -5.26 dollars plus 0.21 times the cellular phone time used next month. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:46.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15A R3C2 8 NEXT_HINT Enter -5.26 plus 0.21X HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 9 ERROR -5.26+0.21 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 10 OK -5.26+0.21x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:44:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 2 OK -5.26+0.21X=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:44:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 1 OK -5.26+0.21x=15.74 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:44:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 1 BUG add -5.26 To remove -5.26 from the left side, you can add a positive to it. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:44:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 2 BUG subtract 5.26 Since -5.26 is negative, you should add to remove it from the left side. Erase your last step and add 5.26 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:44:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 15.74 strategic 3 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 21 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:45:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:45:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A ValidEquations 3 OK -5.26+0.21X=20 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:45:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A -5.26+0.21X = 20 strategic 1 OK add 5.26 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:45:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A 0.21X = 25.26 strategic 1 OK divide 0.21 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:45:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 120.2857 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK total cost of order default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:47:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 OK 180.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 ERROR 10+.015 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 2 ERROR 10+.015 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:29.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 3 INITIAL_HINT 10+.015 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:32.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 4 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 15%."). The other is that you need to add the flat fee of $10 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:36.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 5 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 15%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 6 NEXT_HINT Discounting each item in the order by 15%. means subtracting 0.15 times the cost of the items. So the discount is 0.15X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.15X. Don't forget the flat fee of $10 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:43.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 7 NEXT_HINT Write an expression that means the cost of the items minus 0.15 times the cost of the items plus the flat fee of $10 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:48:46.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14B R3C2 8 NEXT_HINT Enter X-0.15X+10 (you could also enter 0.85X + 10, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 9 OK .85x+10 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 1 OK 0.85x+10=116.25 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 2 OK 0.85X+10=116.25 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 116.25 strategic 1 BUG add 10 Since 10 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 10 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+20 = 126.25 strategic 1 ERROR subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 116.25 strategic 2 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 106.25 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:50:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 OK 125 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B ValidEquations 3 OK 0.85X+10=180 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:50:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 180 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:50:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 BUG 211.7647 211.7647
Subtract the initial value, 10, from the cost of the items first before you divide by 0.85. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:50:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B X+11.76470588 = 211.76470588 strategic 1 BUG divide 11.7647 You want to isolate X by removing 11.7647 from the left side. 11.7647 is added to X. What is the opposite of addition? BUG default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:51:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 2 ERROR 11.7647 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:51:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 180 strategic 2 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:51:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X+10 = 180 strategic 3 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B 0.85X = 170 strategic 1 OK divide .85 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session26 2006-01-06 08:51:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 3 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:21:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK NUMBER OF HOURS FROM NOW default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:21:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 OK HOURS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:21:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK TEMPERATURE OF THE LIQUID default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 BUG DEGREES degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 2 BUG TEMPERATURE TEMPERATURE
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TEMPERATURE? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:31.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C2 3 INITIAL_HINT TEMPERATURE You need to enter a unit for measuring the temperature of the liquid. HINT 1 default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:32.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C2 4 NEXT_HINT What would you say if you were measuring the temperature of the liquid? You would count one degree Celsius, two degrees Celsius, three... HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:36.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04C R2C2 5 NEXT_HINT Enter a unit for the temperature of the liquid by clicking on the unit box and typing in a word or phrase. How would you measure or count the temperature of the liquid? One degree Celsius, two degrees Celsius, three... HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:22:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 6 BUG DEGREES degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:23:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 7 ERROR DEGREES FERINHEIGHT default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:23:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 8 OK DEGREES CELSIUS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:35:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 OK -36-4.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:36:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:36:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:36:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 OK -72 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session28 2006-01-20 08:36:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:52:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 OK -36-4.5X=-72 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:52:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = -72 strategic 1 BUG subtract -72 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:53:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = -72 strategic 2 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:53:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5X = -36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-4.5X=0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:53:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-4.5X = 0 strategic 1 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:54:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5X = 36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:54:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session29 2006-01-20 08:54:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 1 OK DIGGING TIME default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:29:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 1 OK DEPTH OF THE MINE default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:29:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:29:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:29:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 1 BUG YEARS YEARS
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:30:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 2 OK MONTHS default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:30:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 OK 12*4 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:30:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:30:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 ERROR 12-10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session30 2006-01-25 08:36:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 1 OK -1375-9*X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:20:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 ERROR - default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:20:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 ERROR -10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:20:06.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R5C1 3 INITIAL_HINT -10 Read the problem statement. What information is given in question 2 about the digging time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:21:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 4 BUG 10*12 10*12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:21:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 5 OK -10*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 ERROR 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 2 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:28.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 3 INITIAL_HINT 0 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:30.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 4 NEXT_HINT You know that the expression -1375 - 9X represents the depth of the mine. What value of the digging time will make the general expression -1375 - 9X output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:34.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 5 NEXT_HINT Since the general expression for the depth of the mine is -1375 - 9X and since the depth of the mine in this question is 0, set the two of them equal to find the digging time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:37.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 6 NEXT_HINT Solve the equation -1375 - 9X = 0. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 7 ERROR -1.375-9X=0 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:22:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 8 BUG 0 0
Subtract the initial value, -1375, from the digging time first before you divide by -9. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:23:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 9 ERROR -9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:23:02.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 10 INITIAL_HINT -9 Solve the equation -1375 - 9X = 0. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:23:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 1 ERROR 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 2 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:26:19.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 11 INITIAL_HINT -9 Solve the equation -1375 - 9X = 0. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:27:38.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47B R6C1 12 INITIAL_HINT -9 Solve the equation -1375 - 9X = 0. HINT 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:28:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9X=0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 0 strategic 1 ERROR add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:28:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 0 strategic 2 ERROR subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:29:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 OK -1375-9X=0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:29:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 0 strategic 3 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:29:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 1375 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:30:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 13 ERROR 9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:30:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 14 OK -1375/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:31:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 1 BUG 2068 2068
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:31:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 2 BUG 2,068 2,068
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 3 OK -2068 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:37:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 OK -1375-9X=-2068 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:38:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = -2068 strategic 1 BUG subtract -2068 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:38:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = -2068 strategic 2 ERROR add -2.68 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:39:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = -2068 strategic 3 OK subtract -1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:39:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = -693 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 1 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:47:12.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 ERROR clt 2y-3 = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:47:31.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:49:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:50:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:50:18.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:50:34.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:50:44.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:51:18.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (9-2)*9 strategic 1 ERROR mt (9-2)*9 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:51:23.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (9-2)*9 strategic 2 OK clt 9-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:51:34.0 CYCLE CYCLE ES_02 ES_02-1 EG30 7*9 strategic 1 OK mt 7*9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:51:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(-6-6) strategic 1 OK clt -6-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:52:02.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3*-12 strategic 1 OK mt -3*-12 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:52:15.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-7*-4 strategic 1 ERROR clt -3-7*-4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:52:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-7*-4 strategic 2 OK mt 7*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:52:24.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3-(-28) strategic 1 OK clt -3-(-28) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:52:54.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-5*-6 strategic 1 ERROR clt -3-5*-6 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:52:58.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-5*-6 strategic 2 OK mt 5*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:01.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -3-(-30) strategic 1 OK clt -3-(-30) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:18.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-3-2)*-7 strategic 1 ERROR mt (-3-2)*-7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:21.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-3-2)*-7 strategic 2 OK clt -3-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:23.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5*-7 strategic 1 OK mt -5*-7 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:32.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(-9+10) strategic 1 ERROR mt -3(-9+10) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:36.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(-9+10) strategic 2 OK clt -9+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:39.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3*1 strategic 1 OK mt -3*1 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:48.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6+2)*1 strategic 1 OK mt (-6+2)*1 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:50.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6+2 strategic 1 OK clt -6+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:56.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-4-4) strategic 1 ERROR mt -10(-4-4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:53:59.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10(-4-4) strategic 2 OK clt -4-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:01.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -10*-8 strategic 1 OK mt -10*-8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:08.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(7-7) strategic 1 OK clt 7-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:10.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*0 strategic 1 OK mt -9*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:16.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -8*-7-7 strategic 1 OK mt -8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:18.0 CYCLE CYCLE ES_02 ES_02-1 EG29 56-7 strategic 1 OK clt 56-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:25.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4+10)*-6 strategic 1 ERROR mt (-4+10)*-6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:29.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4+10)*-6 strategic 2 OK clt -4+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:31.0 CYCLE CYCLE ES_02 ES_02-1 EG30 6*-6 strategic 1 OK mt 6*-6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:38.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(0+6) strategic 1 OK clt 0+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:40.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8*6 strategic 1 OK mt 8*6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-6*-3 strategic 1 OK mt 6*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:47.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-18) strategic 1 OK clt -5-(-18) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:53.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-10+7)*-8 strategic 1 ERROR mt (-10+7)*-8 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:54:57.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-10+7)*-8 strategic 2 OK clt -10+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:55:00.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -3*-8 strategic 1 OK mt -3*-8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:55:05.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-2)*-4 strategic 1 ERROR mt (-8-2)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:55:08.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-2)*-4 strategic 2 OK clt -8-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:55:11.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -10*-4 strategic 1 OK mt -10*-4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:55:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (6-7)*2 strategic 1 ERROR mt (6-7)*2 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session32 2006-01-27 08:55:20.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (6-7)*2 strategic 2 OK clt 6-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:29:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (1+4)*6 strategic 1 ERROR mt (1+4)*6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:29:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (1+4)*6 strategic 2 OK clt 1+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:29:20.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 5*6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:29:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 5*6 strategic 1 OK mt 5*6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:29:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:30:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-4-2) strategic 1 OK clt -4-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:30:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:30:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:30:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-4-2) strategic 2 OK clt -4-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:31:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -2-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:31:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -2+-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:31:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -2++-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:31:18.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 6 INITIAL_HINT -2++-2 You need to combine like terms in -2(-4-2). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:31:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK -2*(-6) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:31:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2*-6 strategic 1 OK mt -2*-6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:32:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK 12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:32:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-3*-1 strategic 1 ERROR clt -3-3*-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-3*-1 strategic 2 OK mt 3*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 0 0
Just multiply -3*-1. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG 0 0
Just multiply -3*-1. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 ERROR -3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:33:59.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 7 INITIAL_HINT -3 You need to perform multiplication in -3-3*-1. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 8 OK -3--3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+3 strategic 1 OK clt -3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 9 OK -3+3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+3 strategic 2 OK clt -3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 10 OK 0 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-3*-5 strategic 1 ERROR clt -8-3*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:34:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-3*-5 strategic 2 OK mt 3*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:35:10.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG 7 7
Just multiply -3*-5. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:35:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 15 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:35:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR 10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:35:43.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT 10 You need to perform multiplication in -8-3*-5. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:36:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -8-(-15) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:36:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8+15 strategic 1 OK clt -8+15 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:36:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:36:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-6-6) strategic 1 OK clt -6-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:36:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -6-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:37:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -. default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:37:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:37:29.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT 3 You need to combine like terms in -6(-6-6). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:37:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -6*(-12) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:38:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-12 strategic 1 OK mt -6*-12 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:38:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 72 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-8)*-2 strategic 1 OK clt -3-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 13 13
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 00 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:14.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT 00 You need to combine like terms in (-3-8)*-2. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK -11*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -11*-2 strategic 1 OK mt -11*-2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:40:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK 22 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:41:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9*0+9 strategic 1 OK mt -9*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:41:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG 9 9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:41:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG 9 9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:41:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -9 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 BUG -9*0+9 -9*0+9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 BUG 9 9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR 99 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR 999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 ERROR 9999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR 99999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 10 ERROR 999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 11 ERROR 9999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 12 ERROR 99999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 13 ERROR 999999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 14 ERROR 9999999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 15 ERROR 99999999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 16 ERROR 999999999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 17 ERROR 9999999999999 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9*0+9 strategic 2 ERROR clt -9*0+9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9*0+9 strategic 3 OK mt -9*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:47.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 18 ERROR 0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 19 ERROR -0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:54.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 20 BUG 9 9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:42:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 21 ERROR -9 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:43:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 22 ERROR 19 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session33 2006-02-01 08:43:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 23 ERROR -19 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:16:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*0-5 strategic 1 BUG add 2 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:17:06.0 HINT HINT ES_02 ES_02-2 EG29 -2*0-5 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:17:07.0 HINT HINT ES_02 ES_02-2 EG29 -2*0-5 strategic 3 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:17:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*0-5 strategic 4 OK mt -2*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:18:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -5 -5
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:18:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:18:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -5 -5
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:19:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*0-5 strategic 5 OK mt -2*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:21.0 HINT HINT ES_02 ES_02-2 EG29 -2*0-5 strategic 6 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:23.0 HINT HINT ES_02 ES_02-2 EG29 -2*0-5 strategic 7 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2*0-5 strategic 8 OK mt -2*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR 12 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:32.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR 5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 BUG -5 -5
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR 0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 ERROR 0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 9 ERROR 00 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 10 ERROR 000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 11 ERROR 0000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 12 ERROR 00000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 13 ERROR 000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 14 ERROR 0000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 15 ERROR 00000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:44.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 16 ERROR 000000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 17 ERROR 0000000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 18 ERROR 00000000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 19 ERROR 00000000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 20 ERROR 000000000000 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:21:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 21 BUG 10 10
You need to perform the multiplication, not combine the like terms. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:22:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 22 ERROR -10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:23:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 23 BUG -2*0-5 -2*0-5
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:23:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 24 ERROR ? default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:25:04.0 HINT HINT ES_02 ES_02-2 EG29 5+6*-10 strategic 1 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:25:05.0 HINT HINT ES_02 ES_02-2 EG29 5+6*-10 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:25:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+6*-10 strategic 3 OK mt 6*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:26:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG 65 65
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:27:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -65 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:27:19.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -55 -55
Just multiply 6*-10. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:27:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR 6*-10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:27:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR 6*-10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:27:40.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+6*-10 strategic 4 OK mt 6*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:27:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR -60 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:29:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+6*-10 strategic 5 ERROR clt 5+6*-10 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:29:35.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5+6*-10 strategic 6 OK mt 6*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:33:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 BUG -55 -55
Just multiply 6*-10. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session34 2006-02-03 08:33:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 BUG -55 -55
Just multiply 6*-10. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:23:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -7*0-9 strategic 1 OK mt -7*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 BUG -9 -9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 BUG -9 -9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 BUG -9 -9
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR 9 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 ERROR -7*0-9=-9 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:37.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 6 INITIAL_HINT -7*0-9=-9 You need to perform multiplication in -7*0-9. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:25:57.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 OK 0-9 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:26:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 0-9 strategic 1 OK clt 0-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:26:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK -9 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:26:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-10*-7 strategic 1 OK mt 10*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:27:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG 60 60
Just multiply -10*-7. You can combine like terms in the next step. BUG default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:27:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 10 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:27:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR 101 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:27:37.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 4 INITIAL_HINT 101 You need to perform multiplication in -10-10*-7. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:27:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 ERROR 1010 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:28:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 6 OK -10-(-70) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:28:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10+70 strategic 1 OK clt -10+70 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:28:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 7 OK 60 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:29:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3(-9-2) strategic 1 OK clt -9-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:29:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG 33 33
Just combine like terms in -9-2. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:29:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 BUG 33 33
Just combine like terms in -9-2. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:30:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:30:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR 00 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:30:01.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT 00 You need to combine like terms in -3(-9-2). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:30:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -3*(-11) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:30:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -3*-11 strategic 1 OK mt -3*-11 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session36 2006-02-15 08:30:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK 33 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:31:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-9)*-3 strategic 1 BUG add 3 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:36:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-9)*-3 strategic 2 OK clt -2-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:37:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -11*(-3) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:37:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -11*-3 strategic 1 OK mt -11*-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:37:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 33 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:37:51.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-8*0 strategic 1 ERROR clt -4-8*0 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:37:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-8*0 strategic 2 OK mt 8*0 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:38:22.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -4-0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:38:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-0 strategic 1 OK clt -4-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:38:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -4 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:38:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-7-2) strategic 1 OK clt -7-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:39:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:39:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:39:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:39:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:39:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -7-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:39:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-7-2) strategic 2 OK clt -7-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:40:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -9-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:40:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK -7*-9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:41:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-9 strategic 1 OK mt -7*-9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:41:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK 63 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:41:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1+8)*6 strategic 1 OK clt -1+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:42:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 7*6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:42:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 7*6 strategic 1 OK mt 7*6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session38 2006-02-17 12:42:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 42 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session39 2006-02-22 08:33:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -1-6*-6 strategic 1 OK mt 6*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:12:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6-7*3 strategic 1 OK mt 7*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:12:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 6-24 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:13:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 6-21 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:13:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6-21 strategic 1 OK clt 6-21 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:14:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -15 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:14:59.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+3*-3 strategic 1 OK mt 3*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:15:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:15:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -3+-9 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:15:37.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3-9 strategic 1 OK clt -3-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:15:44.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -12 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:11.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = (36+31)*17 strategic 1 ERROR mt y = (36+31)*17 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:22.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = (36+31)*17 strategic 2 OK clt 36+31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:24.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = 67*17 strategic 1 OK mt 67*17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:31.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -19(-2-33) = y strategic 1 OK clt -2-33 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:34.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -19*-35 = y strategic 1 OK mt -19*-35 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:39.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -11+14*29 strategic 1 OK mt 14*29 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:41.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -11+406 strategic 1 OK clt -11+406 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:47.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-9+2)*-3 = y strategic 1 ERROR mt (-9+2)*-3 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:50.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-9+2)*-3 = y strategic 2 OK clt -9+2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:52.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -7*-3 = y strategic 1 ERROR rf -7*-3 = y strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:16:55.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -7*-3 = y strategic 2 OK mt -7*-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:01.0 CYCLE CYCLE ES_02 ES_02-3 EG35 -5(0-9) = y strategic 1 OK clt 0-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:03.0 CYCLE CYCLE ES_02 ES_02-3 EG35 -5*-9 = y strategic 1 OK mt -5*-9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:13.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -8-5*-2 = y strategic 1 ERROR clt -8-5*-2 = y strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:15.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -8-5*-2 = y strategic 2 OK mt 5*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:17.0 CYCLE CYCLE ES_02 ES_02-3 EG32 -8-(-10) = y strategic 1 OK clt -8-(-10) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:22.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 10-3*-49 = y strategic 1 OK mt 3*-49 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:25.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 10-(-147) = y strategic 1 OK clt 10-(-147) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:32.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -40(-47+44) strategic 1 OK clt -47+44 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:36.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -40*-3 strategic 1 OK mt -40*-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:42.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = -2*6-1 strategic 1 OK mt -2*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:44.0 CYCLE CYCLE ES_02 ES_02-3 EG33 x = -12-1 strategic 1 OK clt -12-1 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-15-47)*-35 = y strategic 1 ERROR mt (-15-47)*-35 = y strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:17:54.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-15-47)*-35 = y strategic 2 OK clt -15-47 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session40 2006-02-24 08:18:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 BUG 2170 2170
Just combine like terms in -15-47. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:20:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (39-1)*-3 = x strategic 1 ERROR mt (39-1)*-3 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:20:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (39-1)*-3 = x strategic 2 OK clt 39-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:21:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 BUG -114 -114
Just combine like terms in 39-1. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:23:09.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 38*(-3) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:24:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34A 38*-3 = x strategic 1 OK mt 38*-3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:25:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 OK -114 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:25:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = 30(-17-6) strategic 1 OK clt -17-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:26:09.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 30*(-23) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:26:14.0 CYCLE CYCLE ES_02 ES_02-4 EG35B x = 30*-23 strategic 1 OK mt 30*-23 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:26:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK -690 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:26:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (5-3)*-5 strategic 1 ERROR mt y = (5-3)*-5 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:26:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (5-3)*-5 strategic 2 OK clt 5-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:27:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK (2)*(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:27:13.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = 2*-5 strategic 1 OK mt 2*-5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:27:25.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -10 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:27:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 16(-10+39) strategic 1 OK clt -10+39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:29:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK 16*29 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:29:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 16*29 strategic 1 OK mt 16*29 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:29:33.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 464 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:30:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -13(-1-31) strategic 1 OK clt -1-31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:31:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -13*-32 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:31:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -13*-32 strategic 1 OK mt -13*-32 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:31:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 416 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:33:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 1 ERROR clt -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:33:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 2 ERROR mt -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:33:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 3 ERROR clt -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:33:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 4 ERROR rf -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:33:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 5 ERROR rds -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:33:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 6 ERROR distribute -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:34:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 7 ERROR clt -3-8y = 5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:36:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y = 5 strategic 8 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:37:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-8y+3 = 5+3 strategic 1 OK clt -3-8y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:37:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:38:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y = 8 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:38:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8y/-8 = 8/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:38:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8+8y strategic 1 BUG subtract -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:40:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8+8y strategic 2 ERROR clt -7 = 8+8y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:40:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8+8y strategic 3 ERROR subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:41:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8+8y strategic 4 BUG add -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:41:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8+8y strategic 5 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:41:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7 = 8+8y strategic 6 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:41:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-8 = 8+8y-8 strategic 1 OK clt 8+8y-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:41:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-8 = 8y strategic 1 OK clt -7-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:41:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 8y strategic 1 BUG divide -15 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:42:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 8y strategic 2 ERROR clt -15 = 8y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:42:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 8y strategic 3 ERROR add 15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:42:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 8y strategic 4 ERROR subtract 15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:42:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 8y strategic 5 BUG subtract 8 In 8y, y is multiplied by 8. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:43:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15 = 8y strategic 6 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:45:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15/8 = 8y/8 strategic 1 ERROR clt -15/8 = 8y/8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:45:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -15/8 = 8y/8 strategic 2 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:46:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-3x = 3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:46:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-3x-8 = 3-8 strategic 1 OK clt 8-3x-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:47:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = 3-8 strategic 1 OK clt 3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:47:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x = -5 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:47:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3x/-3 = -5/-3 strategic 1 OK rf -3x/-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:48:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = 5x-8 strategic 1 OK subtract -8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:48:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-(-8) = 5x-8-(-8) strategic 1 OK clt 5x-8-(-8) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:48:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-(-8) = 5x strategic 1 OK clt 4-(-8) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:48:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = 5x strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:48:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/5 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:48:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+4 = -6 strategic 1 BUG subtract -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+4 = -6 strategic 2 ERROR add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+4 = -6 strategic 3 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -6/9 strategic 1 ERROR clt (9x+4)/9 = -6/9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -6/9 strategic 2 OK rf -6/9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -2/3 strategic 1 ERROR clt (9x+4)/9 = -2/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -2/3 strategic 2 ERROR rf (9x+4)/9 = -2/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -2/3 strategic 3 ERROR rds (9x+4)/9 = -2/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:49:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -2/3 strategic 4 ERROR mt (9x+4)/9 = -2/3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:51:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9 = -2/3 strategic 5 OK multiply 9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:51:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 (9x+4)/9*9 = -2/3*9 strategic 1 ERROR clt (9x+4)/9*9 = -2/3*9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:52:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+4 = -6 strategic 4 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:52:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x+4-4 = -6-4 strategic 1 OK clt 9x+4-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:52:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -6-4 strategic 1 OK clt -6-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:52:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x = -10 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:53:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9x/9 = -10/9 strategic 1 OK rf 9x/9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:55:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = 7-10y strategic 1 ERROR add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session41 2006-03-03 08:56:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = 7-10y strategic 2 ERROR subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:34:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 7y-5 strategic 1 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:48:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 7y-5 strategic 2 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:48:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+5 = 7y-5+5 strategic 1 OK clt 7y-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:48:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+5 = 7y strategic 1 ERROR add 4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:48:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4+5 = 7y strategic 2 OK clt -4+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 7y strategic 1 ERROR clt 1 = 7y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 7y strategic 2 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/7 = 7y/7 strategic 1 ERROR clt 1/7 = 7y/7 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/7 = 7y/7 strategic 2 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = 6x-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+7 = 6x-7+7 strategic 1 OK clt 6x-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:49:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+7 = 6x strategic 1 OK clt 5+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:50:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:50:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/6 = 6x/6 strategic 1 OK rf 12/6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:50:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 6x/6 strategic 1 ERROR clt 2 = 6x/6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:50:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 6x/6 strategic 2 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:50:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -9-3x strategic 1 ERROR add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -9-3x strategic 2 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+9 = -9-3x+9 strategic 1 OK clt -9-3x+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+9 = -3x strategic 1 OK clt -3+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -3x strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-3 = -3x/-3 strategic 1 ERROR rds 6/-3 = -3x/-3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-3 = -3x/-3 strategic 2 OK rf -3x/-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y-4 = -1 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y-4+4 = -1+4 strategic 1 OK clt 5y-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y = -1+4 strategic 1 OK clt -1+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y = 3 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:51:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5y/5 = 3/5 strategic 1 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:52:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = -8y-9 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:52:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+9 = -8y-9+9 strategic 1 OK clt -8y-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:52:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2+9 = -8y strategic 1 OK clt 2+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:52:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11 = -8y strategic 1 ERROR clt 11 = -8y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:52:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11 = -8y strategic 2 BUG add 8 In -8y, y is multiplied by -8. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:53:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11 = -8y strategic 3 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:53:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 11/-8 = -8y/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:54:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y = -2 strategic 1 ERROR add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:54:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y = -2 strategic 2 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:54:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y = -2 strategic 3 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:54:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y+6 = -2+6 strategic 1 ERROR typein Y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:54:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y+6 = -2+6 strategic 2 ERROR typein -7YY default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:54:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y+6 = -2+6 strategic 3 OK typein -7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:55:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6-7y+6 = -2+6 strategic 4 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:55:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y = 4 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:55:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = 4/-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:55:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = 4/-7 strategic 2 ERROR typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:55:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = 4/-7 strategic 3 ERROR typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:55:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = 4/-7 strategic 4 OK typein 4/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session42 2006-03-09 08:56:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = -7-9y strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:37:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-4 = 9 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:38:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-4+4 = 9+4 strategic 1 OK typein -1x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:38:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x-4+4 = 9+4 strategic 2 OK typein 13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:38:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x = 13 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:38:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x/-1 = 13/-1 strategic 1 OK typein x default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:39:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x/-1 = 13/-1 strategic 2 OK typein -13 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:39:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2 = -4 strategic 1 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:40:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2 = -4 strategic 2 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:40:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2+2 = -4+2 strategic 1 OK typein 4x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:40:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x-2+2 = -4+2 strategic 2 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:40:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x = -2 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:40:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = -2/4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:41:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4x/4 = -2/4 strategic 2 OK typein -.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+7 = -4 strategic 1 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+7 = -4 strategic 2 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+7 = -4 strategic 3 ERROR subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+7 = -4 strategic 4 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+7-7 = -4-7 strategic 1 OK typein -4x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x+7-7 = -4-7 strategic 2 OK typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:43:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = -11 strategic 1 ERROR divide -47 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:44:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = -11 strategic 2 ERROR subtract 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:44:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = -11 strategic 3 BUG add 4 In -4x, x is multiplied by -4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:44:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = -11 strategic 4 ERROR subtract 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:44:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = -11 strategic 5 BUG add 4 In -4x, x is multiplied by -4. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:47:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x = -11 strategic 6 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:47:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x/-4 = -11/-4 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:47:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4x/-4 = -11/-4 strategic 2 OK typein 2.75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:49:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = 5+(x/-3) strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:49:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2-5 = 5+(x/-3)-5 strategic 1 OK clt 5+(x/-3)-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:49:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2-5 = x/-3 strategic 1 OK clt -2-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = x/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7*-3 = x/-3*-3 strategic 1 ERROR clt -7*-3 = x/-3*-3 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7*-3 = x/-3*-3 strategic 2 OK mt x/-3*-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7*-3 = x strategic 1 OK mt -7*-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = x/9-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:44.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+5 = x/9-5+5 strategic 1 OK clt x/9-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+5 = x/9 strategic 1 OK clt 5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = x/9 strategic 1 ERROR mt 10 = x/9 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:50:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = x/9 strategic 2 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:51:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*9 = x/9*9 strategic 1 OK mt x/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:51:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*9 = x strategic 1 OK mt 10*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:52:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9+7 = -2 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9+7-7 = -2-7 strategic 1 OK clt y/9+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = -2-7 strategic 1 OK clt -2-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9 = -9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/9*9 = -9*9 strategic 1 OK mt y/9*9 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -9*9 strategic 1 OK mt -9*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:34.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = -2+x/4 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+2 = -2+x/4+2 strategic 1 OK clt -2+x/4+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6+2 = x/4 strategic 1 OK clt -6+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*4 = x/4*4 strategic 1 OK mt x/4*4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session43 2006-03-10 08:53:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*4 = x strategic 1 OK mt -4*4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:31:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = x/7+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:32:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = x/7+1-1 strategic 1 BUG typein 5 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:32:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = x/7+1-1 strategic 2 ERROR typein 45 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:32:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = x/7+1-1 strategic 3 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:32:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = x/7+1-1 strategic 4 ERROR typein X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:32:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = x/7+1-1 strategic 5 ERROR typein X/7X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-1 = x/7+1-1 strategic 6 OK typein X/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = X/7 strategic 1 ERROR rf 4 = X/7 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = X/7 strategic 2 ERROR clt 4 = X/7 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = X/7 strategic 3 ERROR rds 4 = X/7 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = X/7 strategic 4 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*7 = X/7*7 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:33:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*7 = X/7*7 strategic 2 OK typein 28 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:37:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = 3+(y/-8) strategic 1 ERROR multiply 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:37:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = 3+(y/-8) strategic 2 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:41:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = 3+(y/-8) strategic 3 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:41:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-3 = 3+(y/-8)-3 strategic 1 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:42:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5-3 = 3+(y/-8)-3 strategic 2 OK typein y/-8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:42:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = y/-8 strategic 1 ERROR clt 2 = y/-8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:42:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = y/-8 strategic 2 OK rf y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:42:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = y/-8 strategic 3 ERROR add 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:43:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2 = y/-8 strategic 4 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:43:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*-8 = 2*-8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:43:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*-8 = 2*-8 strategic 2 ERROR typein 8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:43:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*-8 = 2*-8 strategic 3 ERROR typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:45:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*-8 = 2*-8 strategic 4 ERROR typein 128 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:46:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-8*-8 = 2*-8 strategic 5 OK typein -16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:49:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = -5+x/9 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:49:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+5 = -5+x/9+5 strategic 1 BUG typein 9 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:49:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+5 = -5+x/9+5 strategic 2 ERROR typein 13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:50:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+5 = -5+x/9+5 strategic 3 OK typein 14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:51:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+5 = -5+x/9+5 strategic 4 OK typein x/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:51:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 14 = x/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:53:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 14*9 = x/9*9 strategic 1 OK typein 126 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:53:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 14*9 = x/9*9 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:54:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+x/7 = 9 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:54:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+x/7+10 = 9+10 strategic 1 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:54:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+x/7+10 = 9+10 strategic 2 ERROR typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:55:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+x/7+10 = 9+10 strategic 3 ERROR typein 7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:55:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+x/7+10 = 9+10 strategic 4 OK typein x/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:55:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+x/7+10 = 9+10 strategic 5 OK typein 19 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:55:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7 = 19 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:55:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7*7 = 19*7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session44 2006-03-17 08:55:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/7*7 = 19*7 strategic 2 OK typein 133 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session45 2006-03-22 08:16:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/2+8 = -6 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session45 2006-03-22 08:16:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/2+8)*2 = -6*2 strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:43:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/2+8)*2 = -6*2 strategic 2 OK typein y+16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:44:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (y/2+8)*2 = -6*2 strategic 3 OK typein -12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:44:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y+16 = -12 strategic 1 ERROR clt y+16 = -12 strategic default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:45:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y+16 = -12 strategic 2 OK subtract 16 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:45:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y+16-16 = -12-16 strategic 1 OK typein y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:45:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y+16-16 = -12-16 strategic 2 OK typein -28 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:45:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/8+8 = -3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:46:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/8+8-8 = -3-8 strategic 1 OK typein y/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:46:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/8+8-8 = -3-8 strategic 2 OK typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:46:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/8 = -11 strategic 1 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:46:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/8*8 = -11*8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session46 2006-03-22 08:47:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/8*8 = -11*8 strategic 2 ERROR typein -22.8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:27:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4+1 = -1 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:27:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -1*4 strategic 1 ERROR typein x+1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:28:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -1*4 strategic 2 ERROR typein x/4+1*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:28:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -1*4 strategic 3 OK typein (x/4+1)*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:29:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -1*4 strategic 4 OK typein -1*4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:29:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -1*4 strategic 5 OK mt -1*4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:29:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK -4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:29:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -4 strategic 1 ERROR mt (x/4+1)*4 = -4 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:29:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -4 strategic 2 ERROR clt (x/4+1)*4 = -4 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:30:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (x/4+1)*4 = -4 strategic 3 OK distribute (x/4+1)*4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:31:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x+4 default_condition distribute-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:32:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x+4 = -4 strategic 1 OK subtract 4 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:32:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x+4-4 = -4-4 strategic 1 OK typein x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:32:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x+4-4 = -4-4 strategic 2 BUG typein 0 0 is equal to -4 plus 4. You need to calculate -4 minus 4. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:34:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x+4-4 = -4-4 strategic 3 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:35:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 1 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:35:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 2 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:36:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 3 BUG multiply 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:36:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 4 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:37:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 5 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:37:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 6 ERROR divide 8/x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:43:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 7 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:45:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = 5x strategic 1 ERROR distribute 8/x*x = 5x strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:45:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = 5x strategic 2 ERROR clt 8/x*x = 5x strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:46:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = 5x strategic 3 OK mt 8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:46:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 5x strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:46:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/5 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:46:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/5 = x strategic 1 BUG rf 8/5 = x strategic You already solved the equation. x is 8/5. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:47:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x = -3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:47:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/x*x = -3x strategic 1 OK mt 3/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:47:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -3x strategic 1 ERROR rf 3 = -3x strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:47:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = -3x strategic 2 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:48:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/-3 = -3x/-3 strategic 1 OK rf -3x/-3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:55:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = 2 strategic 1 ERROR divide X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:55:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = 2 strategic 2 BUG multiply -5 To remove the coefficient of -5/x, you need to divide. Erase your last step and then divide both sides by -5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:55:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = 2 strategic 3 ERROR mt -5/x = 2 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:55:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x = 2 strategic 4 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:56:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/x*x = 2x strategic 1 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:56:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:56:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/2 = 2x/2 strategic 1 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session47 2006-03-24 08:57:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/y = -1 strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:19:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -5/x strategic 1 BUG multiply -5 To remove the coefficient of -5/x, you need to divide. Erase your last step and then divide both sides by -5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:20:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -5/x strategic 2 ERROR add 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:20:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -5/x strategic 3 BUG multiply -5 To remove the coefficient of -5/x, you need to divide. Erase your last step and then divide both sides by -5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -5/x strategic 4 ERROR add -5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -5/x strategic 5 ERROR add 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:24.0 HINT HINT ES_02 ES_02-9 EG44 8 = -5/x strategic 6 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:26.0 HINT HINT ES_02 ES_02-9 EG44 8 = -5/x strategic 7 NEXT_HINT -5/x is -5 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:30.0 HINT HINT ES_02 ES_02-9 EG44 8 = -5/x strategic 8 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -5/x strategic 9 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8x = -5/x*x strategic 1 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8x = -5 strategic 1 ERROR mt 8x = -5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8x = -5 strategic 2 ERROR clt 8x = -5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:54.0 HINT HINT ES_02 ES_02-9 EG44 8x = -5 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:55.0 HINT HINT ES_02 ES_02-9 EG44 8x = -5 strategic 4 NEXT_HINT 8x is 8 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:22:58.0 HINT HINT ES_02 ES_02-9 EG44 8x = -5 strategic 5 NEXT_HINT Divide both sides by 8. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:23:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8x = -5 strategic 6 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:23:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8x/8 = -5/8 strategic 1 ERROR clt 8x/8 = -5/8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:23:13.0 HINT HINT ES_02 ES_02-9 EG44 8x/8 = -5/8 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:23:14.0 HINT HINT ES_02 ES_02-9 EG44 8x/8 = -5/8 strategic 3 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:23:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8x/8 = -5/8 strategic 4 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y = -10 strategic 1 ERROR add 10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y = -10 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/y*y = -10y strategic 1 OK mt -8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -10y strategic 1 ERROR rf -8 = -10y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -10y strategic 2 BUG add 10 In -10y, y is multiplied by -10. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:38.0 HINT HINT ES_02 ES_02-9 EG44 -8 = -10y strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:39.0 HINT HINT ES_02 ES_02-9 EG44 -8 = -10y strategic 4 NEXT_HINT -10y is -10 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:43.0 HINT HINT ES_02 ES_02-9 EG44 -8 = -10y strategic 5 NEXT_HINT Divide both sides by -10. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = -10y strategic 6 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:25:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/-10 = -10y/-10 strategic 1 OK rf -10y/-10 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:27:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x = -7 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:27:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x*x = -7x strategic 1 OK mt 6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:27:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:27:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/-7 = -7x/-7 strategic 1 OK rf -7x/-7 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:27:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x = 8 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:27:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/x*x = 8x strategic 1 OK mt -8/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -8/8 = 8x/8 strategic 1 OK rf 8x/8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x = 7 strategic 1 BUG multiply -3 To remove the coefficient of -3/x, you need to divide. Erase your last step and then divide both sides by -3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x = 7 strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/x*x = 7x strategic 1 OK mt -3/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:28:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/7 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -8 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y*y = -8y strategic 1 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -8y strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-8 = -8y/-8 strategic 1 OK rf -8y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -9/x strategic 1 BUG multiply -9 To remove the coefficient of -9/x, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:46.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -9/x strategic 2 ERROR multiply 9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -9/x strategic 3 BUG multiply -9 To remove the coefficient of -9/x, you need to divide. Erase your last step and then divide both sides by -9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:29:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -9/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = -9/x*x strategic 1 OK mt -9/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = -9 strategic 1 ERROR rf 5x = -9 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x = -9 strategic 2 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5x/5 = -9/5 strategic 1 OK rf 5x/5 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:33.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/y = 7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/y*y = 7y strategic 1 OK mt 10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10 = 7y strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 10/7 = 7y/7 strategic 1 OK rf 7y/7 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x = 6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:30:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/x*x = 6x strategic 1 OK mt 6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/6 = 6x/6 strategic 1 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 9/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:49.0 HINT HINT ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 2 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:51.0 HINT HINT ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 3 NEXT_HINT Type in -7y on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:31:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 4 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:32:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 5 BUG typein 9/y You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:32:20.0 HINT HINT ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:32:21.0 HINT HINT ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 7 NEXT_HINT Type in 9/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:32:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 8 OK typein 9/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:32:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 9/y*y strategic 9 OK mt 9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:34:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 9y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:34:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:34:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:36:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 9 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:36:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:39:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 2 ERROR typein -1.2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:39:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 3 ERROR typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:39:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 4 ERROR typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:40:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 5 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:40:12.0 HINT HINT ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:40:13.0 HINT HINT ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 7 NEXT_HINT Type in 9/-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:40:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 9/-7 strategic 8 OK typein 9/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:41:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = -4/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:41:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4/y*y strategic 1 ERROR typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:43:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4/y*y strategic 2 OK typein -8*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:48:24.0 HINT HINT ES_02 ES_02-10 EG44 -8y = -4/y*y strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:48:25.0 HINT HINT ES_02 ES_02-10 EG44 -8y = -4/y*y strategic 4 NEXT_HINT Type in -4/y*y on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:48:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4/y*y strategic 5 OK typein -4/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4/y*y strategic 6 OK mt -4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 3 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 4 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:36.0 HINT HINT ES_02 ES_02-10 EG44 pm-r-num-node strategic 5 INITIAL_HINT y You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 6 OK -4y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:51:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -4y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:52:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -3y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:52:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -3y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:53:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR 3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:53:56.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT 3 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:54:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -4y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:54:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4y/y strategic 1 OK rf -4y/y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:54:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4y/y strategic 2 OK rf -4y/y default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:55:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 7 OK -4 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:55:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y = -4 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:55:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -4/-8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session48 2006-03-29 08:55:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8y/-8 = -4/-8 strategic 2 OK typein .5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:26:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/x = 3 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:26:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/x*x = 3x strategic 1 OK typein -4/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:27:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/x*x = 3x strategic 2 OK typein 3*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:27:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/x*x = 3x strategic 3 OK mt -4/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:27:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:27:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:27:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:28:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:28:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:28:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/3 = 3x/3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:28:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/3 = 3x/3 strategic 2 ERROR typein -1.3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:29:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/3 = 3x/3 strategic 3 ERROR typein -1.3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:30:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4/3 = 3x/3 strategic 4 OK typein -1.333 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:30:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x = -10 strategic 1 BUG multiply -10 To remove the coefficient of -10/x, you need to divide. Erase your last step and then divide both sides by -10. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:31:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x = -10 strategic 2 ERROR add 10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:31:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x = -10 strategic 3 ERROR multiply 10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:31:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x = -10 strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x*x = -10x strategic 1 OK typein -10/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x*x = -10x strategic 2 OK typein -10*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/x*x = -10x strategic 3 OK mt -10/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -10 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = -10x strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:32:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/-10 = -10x/-10 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/-10 = -10x/-10 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = -1 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = -1x strategic 1 OK typein -9/x*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = -1x strategic 2 OK typein -1*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = -1x strategic 3 OK mt -9/x*x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 BUG x x
Perhaps you should fill in the numerator above first. BUG default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = -1x strategic 1 BUG divide 1 In this equation, x is multiplied by -1. Dividing by 1 leaves -x, so you still need to remove the negative sign. It is better to divide by -1, since that would leave x. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:33:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = -1x strategic 2 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:34:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/-1 = -1x/-1 strategic 1 OK typein x default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 f4fNYL73Z2 session49 2006-03-31 08:34:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/-1 = -1x/-1 strategic 2 OK typein 9 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:23:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 BUG Scuba lessons scuba lessons
SCUBA LESSONS could be part of the answer. Focus on words that distinguish quantities. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:24:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 2 BUG scuba lessson hours scuba lessson hours
You are on the right track with hours, but you need a more specific label. Try time spent taking lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:25:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 3 OK time spent taking lessons default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:25:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:25:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG lessoons lessoons
Be more specific. Can you say more about LESSONS? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 BUG lessons lessons
Be more specific. Can you say more about LESSONS? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:25:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 3 BUG scuba lessons scuba lessons
You are close. Try "total cost of scuba lessons." BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:26:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 4 OK total cost of scuba lesson default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:26:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:27:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK H default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:27:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 25.50*30+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:28:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50*H+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:28:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:29:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:30:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:30:35.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR GeneralHelpGoalNode 1 NEXT_HINT FEEDBACK TEXT UNKNOWN HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:32:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 ERROR 184.31 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 20.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:37:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5h+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:37:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5H+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:38:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:39:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:40:04.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 25.5H+90.75=2385.75 25.5H+90.75=2385.75
Please check to make sure that 25.5H+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:40:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:40:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:43:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C1 1 OK carpet default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:43:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C2 1 ERROR square yard default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:43:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C1 1 OK square yard default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:43:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C2 2 BUG costs costs
Try the cost of the carpet. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R1C2 3 OK the cost of the carpet default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:44:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:44:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C1 1 OK C default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:44:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C2 1 ERROR 11.95* default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:45:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R3C2 2 OK 11.95*c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:45:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R4C1 1 OK 11 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 1 ERROR 20 1/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:46:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 2 ERROR 21 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:47:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36B R5C1 3 INITIAL_HINT 21 Read the problem statement. What information is given in question 2 about the amount of carpet? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:47:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36B R5C1 4 NEXT_HINT Important information about the amount of carpet is highlighted for you in question 2 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:47:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T36B R5C1 5 NEXT_HINT Type the amount of carpet, measured in square yards into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 6 ERROR 201/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:49:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R5C1 7 OK 20.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:50:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C2 1 OK 478.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:50:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R7C2 1 OK 717.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:51:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B ValidEquations 1 OK 11.95c=478 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:51:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B ValidEquations 2 OK 11.95C=478 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:51:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B 11.95C = 478 strategic 1 OK divide 11.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:51:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R6C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:52:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B ValidEquations 3 OK 11.95C=717 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:52:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B 11.95C = 717 strategic 1 OK divide 11.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36B R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:53:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK frequent flyer points default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:53:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 BUG # of frequent flyer point # of frequent flyer point
Your input describes the same quantity as total number of travel points. You already have a column for total number of travel points. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:54:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 2 ERROR points default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 3 ERROR points default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:55:03.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R1C1 4 INITIAL_HINT points One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:55:11.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R1C1 5 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:55:15.0 HINT HINT CTA1_04 CTA1_04-2 REAL13 R1C1 6 NEXT_HINT Try typing in the phrase "the amount spent on long distance". HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:55:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 7 OK amount of $ spent on long distance default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session31 2005-12-16 08:55:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:18:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 BUG P P
You entered P in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:18:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK P default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:19:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 2 BUG 5000+P 5000+P
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:20:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 3 OK P*5+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:20:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:20:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:23:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 2 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:24:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 3 OK 27.50*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:24:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:26:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:26:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:26:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:28:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 BUG square footage square footage
Try the area to be constructed. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 2 OK the area to be constructed default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:29:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 ERROR sqare feet default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:29:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R1C2 2 INITIAL_HINT sqare feet One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:29:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T10C R1C2 3 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:30:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 4 OK cost to build default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:30:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:30:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:30:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 OK F default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:31:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK F*49.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:31:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:31:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 ERROR 155 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:32:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 2 OK 245 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:32:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 BUG 321750 321750
You entered 321,750 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:32:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 2 BUG 321750.00 321750.00
You entered 321,750 in the wrong column. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:33:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 OK 321750.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:33:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 3 OK 6500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:34:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 OK 42916.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:34:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 867 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:35:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C2 1 OK Students default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:35:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R1C1 1 OK students enrolled default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 1 BUG S S
You entered S in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:35:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C1 1 OK s default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:36:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 2 ERROR 20%*S default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 3 ERROR S*20% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:36:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 4 INITIAL_HINT S*20% Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:37:06.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 5 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:37:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 6 NEXT_HINT Write an expression that means the same thing as 20 percent of the number of students in algebra. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:37:24.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 7 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 20 percent is the same as 0.2 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:37:30.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01B R3C2 8 NEXT_HINT Enter 0.2S. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:37:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R3C2 9 OK 0.2s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:37:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R4C1 1 OK 375 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:38:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R5C1 1 OK 145 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:38:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C2 1 OK 47 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:38:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R6C1 1 OK 235 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:39:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C2 1 OK 93 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:39:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01B R7C1 1 OK 465 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:40:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 BUG passenger jet speed passenger jet speed
Although speed is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:41:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 2 BUG passenger jet passenger jet
Although passenger is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:41:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R1C1 3 INITIAL_HINT passenger jet One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:41:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R1C1 4 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:41:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 5 OK time for now default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:41:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:41:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 BUG time time
Your input describes the same quantity as the time. You already have a column for the time. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:42:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 2 OK distance default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:42:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 ERROR speed default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:44:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 2 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:44:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 2 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:44:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:46:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 ERROR 1300-775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:49:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 ERROR 30 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session32 2005-12-21 08:53:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R1C1 6 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:20:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 BUG m*1300-775 m*1300-775
Does the total distance it has flown start at a positive number of miles or a negative number of miles? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:21:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 2 ERROR M*-1300-775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:21:30.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 3 INITIAL_HINT M*-1300-775 Enter an expression to calculate the total distance it has flown using the time. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:21:38.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 4 NEXT_HINT Look at the problem. What is the relationship between the total distance it has flown and the time? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:21:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R3C2 5 NEXT_HINT Enter 1300M + 775 HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:22:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 6 OK 1300M+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:23:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 ERROR 1300*145 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:24:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 2 ERROR 1300*145+775 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:24:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C2 3 INITIAL_HINT 1300*145+775 You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:24:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C2 4 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:25:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 105 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:26:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 ERROR 1.3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:26:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 3 INITIAL_HINT 1.3 Read the problem statement. What information is given in question 1 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:26:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 4 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:26:40.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 5 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 6 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:27:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 7 ERROR 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:27:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 BUG 30 30
30 is the the time in minutes, but we want to use hours. How many hours are in 30 minutes? BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:32:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 8 INITIAL_HINT 2 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:32:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 9 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:33:02.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 10 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 11 ERROR 1h an 45mins default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:35:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 12 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:36:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 13 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:36:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 14 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:39:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 ERROR 650 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:41:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 2 ERROR 1300 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 3 ERROR 1300*650+775 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:42:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 4 INITIAL_HINT 1300*650+775 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:42:34.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 5 NEXT_HINT You know that the expression 1300M + 775 represents the total distance it has flown. What value of the time will make the general expression 1300M + 775 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:43:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 6 BUG 1750 1750
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:43:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:43:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 ERROR 2075 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 15 ERROR 1125 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:46:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 16 ERROR 14.31 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:46:03.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 17 INITIAL_HINT 14.31 Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:46:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 18 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 19 ERROR 1.45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:47:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 20 ERROR .105 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:49:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 2 ERROR 69.17 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:49:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 21 ERROR 1.3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:49:49.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 22 INITIAL_HINT 1.3 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:50:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 23 ERROR 145 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:51:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 24 ERROR 1h 45min default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 25 ERROR 1300-145 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:53:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 26 INITIAL_HINT 1300-145 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session33 2006-01-04 08:54:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R4C1 27 NEXT_HINT Important information about the time is highlighted for you in question 1 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:28:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 OK 1.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:29:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 OK .50 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:33:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 ERROR 6.50 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 2 ERROR 6.05 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:33:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 3 INITIAL_HINT 6.05 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:34:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 4 NEXT_HINT You know that the expression 1300M + 775 represents the total distance it has flown. What value of the time will make the general expression 1300M + 775 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:34:22.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 5 NEXT_HINT Since the general expression for the total distance it has flown is 1300M + 775 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:34:26.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R6C1 6 NEXT_HINT Solve the equation 1300M + 775 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 OK 1300m+775=1750 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:35:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 OK 1300M+775=1750 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 1 ERROR rds 1300M+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 2 ERROR clt 1300M+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 3 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:36:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 4 ERROR mt 1300M+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:36:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 5 ERROR distribute 1300M+775 = 1750 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:38:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 7 BUG 1.35 1.35
Subtract the initial value, 775, from the time first before you divide by 1300. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:39:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 8 OK .75 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:39:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 ERROR 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:39:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 2 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:39:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 ERROR 1300 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:39:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 3 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:40:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 4 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:40:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 2 ERROR 3375 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:40:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 3 INITIAL_HINT 3375 You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:40:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 4 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:41:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 5 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:43:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 6 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:43:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 5 ERROR 1950 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:43:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 7 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:43:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 6 BUG 2725 2725
The total distance it has flown increases by 2725 when the time is 2.0962, but remember that it starts at 775 miles. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:43:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 8 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:44:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 9 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:44:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 7 ERROR 200 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:44:15.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 8 INITIAL_HINT 200 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 10 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:45:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 9 ERROR 1730 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:45:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 11 ERROR .1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:45:31.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 10 INITIAL_HINT 1730 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:51:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 3 OK 1300M+775=1750 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:51:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 6 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:51:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 7 NEXT_HINT 775 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 775 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 1750 strategic 8 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:52:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 11 ERROR 975 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:52:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 12 ERROR 975 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:52:41.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 13 INITIAL_HINT 975 Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:52:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 14 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:53:09.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 15 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session34 2006-01-06 08:53:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M = 975 strategic 1 ERROR clt 1300M = 975 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:19:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 ERROR 0.4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:19:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 1 INITIAL_HINT 975 You are given a value for the time. Find the total distance it has flown. HINT 1 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:19:51.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 2 NEXT_HINT You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:20:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 2 BUG .75 .75
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:22:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 3 ERROR 750 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:22:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 4 ERROR -750 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:23:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 5 ERROR 5250 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:23:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C2 6 INITIAL_HINT 5250 You are given a value for the time. Find the total distance it has flown by calculating 1300 times the time plus 775. HINT 2 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session35 2006-01-11 08:24:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 3 ERROR .52 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:40:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 7 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:40:58.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 4 INITIAL_HINT .52 Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:41:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 5 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:41:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 6 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:41:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 7 BUG .50 .50
You entered 0.5 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:43:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 8 ERROR .59 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:47:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 9 ERROR .59 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:48:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 BUG 1300M+775=3500 1300M+775=3500
Please check to make sure that 1300M+775=3500 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:48:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 1 ERROR clt 1300M+775 = 3500 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:49:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 2 ERROR distribute 1300M+775 = 3500 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:49:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 3 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:49:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:49:59.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 5 NEXT_HINT 775 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 775 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:50:06.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 6 NEXT_HINT You can subtract 775 from both sides of the equation to eliminate the constant value of 775 (775 - 775 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:50:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M+775 = 3500 strategic 7 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M = 2725 strategic 1 BUG subtract 1300 In 1300M, M is multiplied by 1300. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:16.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M = 2725 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M = 2725 strategic 3 NEXT_HINT 1300M is 1300 times M. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C 1300M = 2725 strategic 4 NEXT_HINT Divide both sides by 1300. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300M = 2725 strategic 5 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 10 ERROR 1.09 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:51:57.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 11 INITIAL_HINT 1.09 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:52:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 12 ERROR .52 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:52:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 13 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:52:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 14 ERROR 5.2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:52:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 15 ERROR 1.09 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session36 2006-01-11 08:52:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 16 ERROR 10.9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:20:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 ERROR .15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 2 ERROR .3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:21:12.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 3 INITIAL_HINT .3 Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:21:17.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 4 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:21:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 5 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 6 ERROR .59 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:25:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 7 ERROR .59 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:25:48.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 8 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:35:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 9 ERROR .68 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:36:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 10 ERROR 1.8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:36:11.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 11 INITIAL_HINT 1.8 Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:36:14.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 12 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:36:27.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 13 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:36:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 14 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:36:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 15 ERROR 1.08 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:37:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 16 ERROR 1.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:50:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 17 ERROR 2.09 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:50:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 18 INITIAL_HINT 2.09 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session37 2006-01-20 08:50:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 19 OK 2.10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:21:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C1 1 OK # of people default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:21:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C2 1 BUG cake cake
You are close. Try "the cost of the cake." BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:21:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R1C2 2 OK cost of the cake default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:22:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:22:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:22:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R3C2 1 OK 1.45*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:22:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 1 BUG 1.45*50 1.45*50
You entered 72.5 in the wrong column. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:22:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R4C1 2 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:23:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:23:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C2 1 OK 29 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:23:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C2 1 OK 108.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:24:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C1 1 ERROR 5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:25:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R6C1 2 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:26:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03A R7C1 1 OK 75 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:27:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 1 ERROR # of people default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:28:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 2 BUG raises raises
Although raises is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 3 BUG received raises received raises
Although raises is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:29:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 4 BUG Employees Employees
Be more specific. Can you say more about EMPLOYEE? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:29:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C2 1 OK Employee's raise default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:29:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 1 ERROR percent default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:29:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C2 2 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:30:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R1C1 5 OK Money earned default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:30:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:30:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 1 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:30:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 2 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:30:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:30:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 3 ERROR 5%/x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:31:42.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 4 INITIAL_HINT 5%/x Enter an expression to calculate the raise using the current salary. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:31:44.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 5 NEXT_HINT What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:32:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 6 ERROR .5*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:32:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 7 ERROR .5/x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:32:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 8 ERROR .5/x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R4C1 1 OK 17500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:33:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R5C1 1 OK 43000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:33:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 9 ERROR x+.5 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:33:53.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 10 INITIAL_HINT x+.5 What part of the current salary is the raise? How can you change a percentage to a decimal? HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:33:57.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 11 NEXT_HINT Write an expression that means the same thing as 5 percent of the current salary. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:34:16.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 12 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 5 percent is the same as 0.05 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:34:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT04A R3C2 13 NEXT_HINT Enter 0.05X. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:34:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R3C2 14 OK 0.05x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:35:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C2 1 OK 5000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:36:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R6C1 1 OK 100000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:36:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C2 1 OK 3125 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:36:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04A R7C1 1 OK 62500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:37:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C2 1 BUG Employee's Raise Employee's Raise
Although raise is mentioned in the problem, it is not a relevant quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:38:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C2 2 OK money received default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:38:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:39:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C1 1 BUG $ per hour $ per hour
A quantity name should refer to a thing, not the rate of change. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:40:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R1C1 2 OK hours worked default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:40:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C1 1 BUG time time
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count TIME? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:40:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:40:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R2C1 2 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:41:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C2 1 BUG x+11.50 x+11.50
The money earned changes by 11.5 for each hour. Since you want your expression to change by 11.5 each time X changes by 1, you need to multiply. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R3C2 2 OK 11.50*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:41:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R4C1 1 OK 4 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:42:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R5C1 1 OK 15.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:42:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C2 1 OK 975 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:42:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C2 1 OK 409.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:43:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C1 1 BUG 84 84
84 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:43:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R6C1 2 OK 84.78 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:44:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02A R7C1 1 OK 35.61 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R1C1 1 OK gross pay default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:45:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:45:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R1C2 1 OK take-home pay default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:45:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:45:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:46:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R3C2 1 OK 0.68*x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R4C1 1 OK 4000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R5C1 1 OK 35000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C2 1 ERROR 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:47:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C2 2 OK 3468 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:47:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R7C2 1 OK 1513 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:47:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R6C1 1 OK 5100 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:47:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05A R7C1 1 OK 2225 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:49:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R1C2 1 OK disance default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:49:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:49:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:49:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 1 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:49:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 2 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:50:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R2C1 3 OK second default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:50:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 1 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:50:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:53:25.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 2 INITIAL_HINT x Enter an expression to calculate the total distance the Crawler has traveled using the time. HINT 1 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:53:28.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 3 NEXT_HINT First consider the initial value of the total distance the Crawler has traveled. Next consider how the total distance the Crawler has traveled will change for each second. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:53:32.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 4 NEXT_HINT Write an expression that means the same thing as the initial value of the total distance the Crawler has traveled plus the change in the total distance the Crawler has traveled for each second times the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:53:36.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 5 NEXT_HINT Write an expression that means the same thing as 250 plus 2.8 times the time. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:53:42.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R3C2 6 NEXT_HINT Enter 2.8X + 250 HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:54:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R3C2 7 OK 2.8x+250 default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:54:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R4C1 1 OK 45 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:54:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R5C1 1 OK 600 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:55:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C2 1 OK 4800 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:55:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R7C2 1 OK 2504 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session38 2006-01-25 08:56:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 1 BUG 1964.29 1964.29
Subtract the initial value, 250, from the total amount 4800 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:21:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 1 BUG 1714.29 1714.29
Subtract the initial value, 250, from the time first before you divide by 2.8. BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:21:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 2 BUG 1464.29 1464.29
Subtract the initial value, 250, from the total amount 4800 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:23:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 3 BUG 1964.29 1964.29
Subtract the initial value, 250, from the total amount 4800 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:23:33.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R7C1 1 INITIAL_HINT 2504 feet is the given output value in this question, because it depends on the time. What value of the time does it take to output 2504 feet? HINT 1 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:23:35.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R7C1 2 NEXT_HINT You know that the expression 2.8X + 250 represents the total distance the Crawler has traveled. What value of the time will make the general expression 2.8X + 250 output the given value of 2504 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:23:39.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R7C1 3 NEXT_HINT Since the general expression for the total distance the Crawler has traveled is 2.8X + 250 and since the total distance the Crawler has traveled in this question is 2504, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:23:43.0 HINT HINT CTA1_04 CTA1_04-2 BH1T32C R7C1 4 NEXT_HINT Solve the equation 2.8X + 250 = 2504. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:25:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R6C1 4 OK 1625.00 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:25:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32C R7C1 5 OK 805 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:25:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C1 1 ERROR tips default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:26:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C1 2 OK total bill default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:26:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 1 BUG amount of bill amount of bill
Your input describes the same quantity as the restaurant bill. You already have a column for the restaurant bill. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:26:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 2 BUG restarurant bill restarurant bill
Your input describes the same quantity as the restaurant bill. You already have a column for the restaurant bill. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 3 BUG the restarurant bill the restarurant bill
Your input describes the same quantity as the restaurant bill. You already have a column for the restaurant bill. What else is mentioned in the problem statement? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 4 ERROR food cost default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 5 ERROR food cost default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:15.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C2 6 INITIAL_HINT food cost One quantity in the problem statement is described in terms of another quantity. Which quantity is described in terms of something else in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:17.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R1C2 7 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R1C2 8 OK amount of tip' default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 1 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:27:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 2 ERROR x+15% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 3 ERROR 15%+x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 4 INITIAL_HINT 15%+x Enter an expression to calculate the tip using the restaurant bill. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:42.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 5 NEXT_HINT What part of the restaurant bill is the tip? How can you change a percentage to a decimal? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:45.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 6 NEXT_HINT Write an expression that means the same thing as 15 percent of the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:49.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 7 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So 15 percent is the same as 0.15 HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:28:54.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R3C2 8 NEXT_HINT Enter 0.15X. HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:29:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 9 ERROR .015x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 10 BUG .15+x .15+x
The tip changes by 0.15 for each dollar. Since you want your expression to change by 0.15 each time X changes by 1, you need to multiply. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:29:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R3C2 11 OK .15x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:29:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R4C1 1 OK 55.10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:29:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R5C1 1 OK 29.65 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:29:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R6C2 1 OK 5.85 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:30:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R7C2 1 OK 6.75 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R6C1 1 ERROR 58.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R6C1 2 ERROR 58.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:26.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 3 INITIAL_HINT 58.50 5.85 dollars is the given output value in this question, because it depends on the restaurant bill. What value of the restaurant bill does it take to output 5.85 dollars? HINT 1 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 4 NEXT_HINT You know that the expression 0.15X represents the tip. What value of the restaurant bill will make the general expression 0.15X output the given value of 5.85 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:33.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 5 NEXT_HINT Since the general expression for the tip is 0.15X and since the tip in this question is 5.85, set the two of them equal to find the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:39.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 6 NEXT_HINT Solve the equation 0.15X = 5.85. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:33:42.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT03B R6C1 7 NEXT_HINT Since the general expression for the tip is 0.15X and since the tip in this question is 5.85, set the two of them equal to find the restaurant bill. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:34:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R6C1 8 ERROR 58.50 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:41:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R6C1 9 OK 39.00 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:41:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT03B R7C1 1 OK 45 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:42:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK money earned default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:43:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 ERROR money given to to ower default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:44:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 2 ERROR money given to owner default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:46:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 3 ERROR money owed default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:46:07.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C1 4 INITIAL_HINT money owed One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:46:10.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R1C1 5 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:46:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 6 OK # of snow cones sold default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:46:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:46:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:47:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 OK 0.50x-50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:47:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:47:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:47:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:47:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:48:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 BUG 175 175
You're on the right track, but you need to divide by 0.5, rather than multiplying. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:49:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 2 ERROR 100 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:50:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 3 ERROR 900 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:50:10.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 4 INITIAL_HINT 900 300 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 300 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:50:29.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 5 NEXT_HINT You know that the expression 0.5X - 50 represents the profit. What value of the number of snow cones we sell will make the general expression 0.5X - 50 output the given value of 300 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:51:15.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 6 NEXT_HINT Since the general expression for the profit is 0.5X - 50 and since the profit in this question is 300, set the two of them equal to find the number of snow cones we sell. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:51:20.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R6C1 7 NEXT_HINT Solve the equation 0.5X - 50 = 300. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:51:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 8 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 9 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:52:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 ERROR 406 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:52:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 2 ERROR 406.50 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:53:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 3 ERROR 406.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:53:21.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R7C1 4 INITIAL_HINT 406.00 153.5 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 153.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session39 2006-01-27 08:54:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 5 ERROR 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:18:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407.00 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:19:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 BUG MOble calls MOble calls
Although call is mentioned in the problem, MOble calls doesn't name a quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:20:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 2 BUG # if calls made # if calls made
Although call is mentioned in the problem, # if calls made doesn't name a quantity. What things are related in this problem? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:20:47.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C1 3 INITIAL_HINT # if calls made Label the column first. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:20:50.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C1 4 INITIAL_HINT # if calls made One quantity in the problem statement is described in terms of another quantity. Which quantity is stated directly in the problem statement? HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:20:52.0 HINT HINT CTA1_04 CTA1_04-3 DEC01B R1C1 5 NEXT_HINT Label this column by clicking on the box for the label and typing in a short phrase describing a quantity in the problem. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:21:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 6 OK length of the mobile telephone call default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:21:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:21:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK cost of call default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:21:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:21:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:22:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK .75*x+3.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:22:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:22:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:22:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:22:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:23:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:23:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:25:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:26:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of order default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:26:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:26:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:26:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR .25-25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:27:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 ERROR 25*.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 ERROR 25x-25% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:01.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 INITIAL_HINT 25x-25% Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:08.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:12.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:22.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 8 NEXT_HINT Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:26.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 9 NEXT_HINT Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:28:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 10 ERROR x-0.25+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:29:09.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 11 INITIAL_HINT x-0.25+25 Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:29:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 12 ERROR x-0.25+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:29:37.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 13 INITIAL_HINT x-0.25+25 Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:30:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 14 OK .75x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:30:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:30:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:30:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:30:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:31:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:31:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:36:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C1 1 BUG minutes used minutes used
You are on the right track with minutes, but you need a more specific label. Try the cellular phone time used next month. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C1 2 OK the cellular phone time used next month default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:36:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 1 BUG cost of bill cost of bill
Try balance on the next bill. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:37:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 2 OK balance on the next bill default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:37:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:37:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:37:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 1 OK .19x-4.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:38:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R4C1 1 OK 31 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:38:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R5C1 1 OK 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:38:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C2 1 OK 23.85 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:38:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C2 1 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:39:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 1 ERROR 101.05 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:39:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 2 OK 150 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:40:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C1 1 OK 103.42 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:42:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C2 1 OK temperature of liquid default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:42:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C2 1 OK celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:42:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 1 BUG hours hours
HOURS is a unit used to measure something in this problem. Try using a more descriptive phrase. What is measured in hours? BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:42:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R1C1 2 OK time default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:42:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:42:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:43:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 1 BUG -35+2.5x -35+2.5x
Does the temperature of the liquid go up or down when the number of hours from now increases? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 2 ERROR 35+2.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:13.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R4C2 1 INITIAL_HINT You are given a value for the number of hours from now. Find the temperature of the liquid. HINT 1 default_condition Find Y, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:15.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R4C2 2 NEXT_HINT You are given a value for the number of hours from now. Find the temperature of the liquid by calculating -2.5 times the number of hours from now minus 35. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 3 ERROR 35+2.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 4 ERROR 35+2.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 5 ERROR 35+2.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 6 ERROR 35+2.5*x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:27.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R3C2 7 INITIAL_HINT 35+2.5*x Enter an expression to calculate the temperature of the liquid using the number of hours from now. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:28.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R3C2 8 NEXT_HINT First consider the initial value of the temperature of the liquid. Next consider how the temperature of the liquid will change for each hour. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:35.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R3C2 9 NEXT_HINT Write an expression that means the same thing as the initial value of the temperature of the liquid minus the change in the temperature of the liquid for each hour times the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:44:41.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R3C2 10 NEXT_HINT Write an expression that means the same thing as -35 minus 2.5 times the number of hours from now. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:45:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R3C2 11 OK -35-2.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:45:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R4C1 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:45:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R5C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:45:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C2 1 OK -100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C2 1 OK -0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:47:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 1 ERROR 67.50 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:49:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 BUG -35 -35
Subtract the initial value, -35, from the total amount 0 before you do the division. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session40 2006-02-01 08:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 2 BUG 35 35
Subtracting -35 from 0 is OK, but then you need to divide by -2.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:20:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 1 ERROR 14 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:22:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 2 ERROR 25 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:22:48.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R6C1 3 INITIAL_HINT 25 -100 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output -100 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:22:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 4 ERROR 30 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:22:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 5 ERROR 29 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:23:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 6 ERROR 28 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:23:02.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R6C1 7 INITIAL_HINT 28 -100 degrees Celsius is the given output value in this question, because it depends on the number of hours from now. What value of the number of hours from now does it take to output -100 degrees Celsius? HINT 1 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:23:05.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R6C1 8 NEXT_HINT You know that the expression -35 - 2.5X represents the temperature of the liquid. What value of the number of hours from now will make the general expression -35 - 2.5X output the given value of -100 degrees Celsius? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:23:09.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R6C1 9 NEXT_HINT Since the general expression for the temperature of the liquid is -35 - 2.5X and since the temperature of the liquid in this question is -100, set the two of them equal to find the number of hours from now. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:23:12.0 HINT HINT CTA1_04 CTA1_04-4 L5FB04 R6C1 10 NEXT_HINT Solve the equation -35 - 2.5X = -100. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:24:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 1 OK -35-2.5X=-100 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:24:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5X = -100 strategic 1 BUG subtract 35 Since -35 is negative, you should add to remove it from the left side. Erase your last step and add 35 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:24:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5X = -100 strategic 2 OK add 35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:25:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 11 BUG -65 -65
Subtracting -35 from -100 is OK, but then you need to divide by -2.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:25:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5X = -65 strategic 1 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:25:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R6C1 12 OK 26 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:26:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 ValidEquations 2 OK -35-2.5X=0 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:26:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5X = 0 strategic 1 OK subtract -35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:26:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5X = 35 strategic 1 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:26:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 1 BUG 14 14
Use parentheses. Type (0 - -35)/ -2.5 as (0 - -35)/ -2.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:27:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5X = 35 strategic 2 BUG divide 2.5 In this equation, X is multiplied by -2.5. Dividing by 2.5 leaves -X, so you still need to remove the negative sign. It is better to divide by -2.5, since that would leave X. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5X = 0 strategic 2 BUG subtract 35 Since -35 is negative, you should add to remove it from the left side. Erase your last step and add 35 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:27:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -35-2.5X = 0 strategic 3 OK subtract -35 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:27:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 -2.5X = 35 strategic 3 OK divide -2.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:29:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04 R7C1 2 OK (0- -35)/-2.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:35:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C1 1 OK DIGGING TIME default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:35:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C2 1 OK DEPTH OF THE MINE default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:35:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 1 BUG HOURS hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:35:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 2 OK MONTH default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:35:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C2 1 OK FEET default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:35:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 1 BUG -1450+8X -1450+8X
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:36:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 2 BUG 1450-8X 1450-8X
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:36:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 3 OK -1450-8X default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:36:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 1 BUG 12 12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:37:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 2 OK -12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:37:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R5C1 1 BUG -120 -120
Think about the sign of your answer. BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R5C1 2 OK 120 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:38:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 1 BUG 1994 1994
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:38:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 2 OK -1994 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:40:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C ValidEquations 1 OK -1450-8X=-1994 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8X = -1994 strategic 1 OK subtract -1450 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:40:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8X = -544 strategic 1 BUG divide -8X Dividing anything by itself will leave 1. If you divide -8X by -8, X will be left. Erase your last step and then divide by -8. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:41:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8X = -544 strategic 2 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C1 1 OK 68 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:46:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 1 ERROR 12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:46:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 2 ERROR 188 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 3 ERROR 176 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:47:00.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C1 4 INITIAL_HINT 176 0 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output 0 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:47:07.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47C R7C1 5 NEXT_HINT You know that the expression -1450 - 8X represents the depth of the mine. What value of the digging time will make the general expression -1450 - 8X output the given value of 0 feet? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:47:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C ValidEquations 2 OK -1450-8X=0 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:47:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -1450-8X = 0 strategic 1 OK subtract -1450 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:47:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8X = 1450 strategic 1 BUG subtract -8 In -8X, X is multiplied by -8. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 6 BUG 1450 1450
Subtracting -1450 from 0 is OK, but then you need to divide by -8. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:48:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C -8X = 1450 strategic 2 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:48:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 7 ERROR 4 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:49:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 8 OK -181.25 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:50:08.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 ERROR subtract 2Y default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:50:54.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG subtract 3 Since -3 is negative, you should add to remove it from the left side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session41 2006-02-03 08:51:03.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 ERROR subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:06.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 ERROR add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:22.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 BUG subtract 3 Since -3 is negative, you should add to remove it from the left side. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:27.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3-3 = 5-3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:29.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3-3 = 5-3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:32.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:34.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 4 NEXT_HINT -3 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -3 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:46.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 5 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:58.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 INITIAL_HINT default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:18:59.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 2 NEXT_HINT Combine like terms. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:19:09.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 3 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:19:14.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:19:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 BUG divide 8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:20:04.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 2 ERROR distribute 2y = 8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:20:38.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 3 BUG multiply 2 To remove the coefficient of 2y, you need to divide. Erase your last step and then divide both sides by 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:20:42.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:20:47.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 5 NEXT_HINT 2y is 2 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:01.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 6 NEXT_HINT Divide both sides by 2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:11.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 7 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:20.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR clt 2y/2 = 8/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:24.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:27.0 HINT HINT ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:36.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 4 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:21:42.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:22:11.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(3+8) strategic 1 BUG subtract 3 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:22:21.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(3+8) strategic 2 BUG subtract 8 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:22:39.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(3+8) strategic 3 ERROR rds 8(3+8) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:22:55.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(3+8) strategic 4 OK clt 3+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:23:14.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8*11 strategic 1 OK mt 8*11 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:23:30.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (4+9)*-2 strategic 1 BUG add 2 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:23:46.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (4+9)*-2 strategic 2 OK clt 4+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:23:51.0 CYCLE CYCLE ES_02 ES_02-1 EG30 13*-2 strategic 1 OK mt 13*-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:24:00.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (7-8)*-9 strategic 1 OK clt 7-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:24:07.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -1*-9 strategic 1 OK mt -1*-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:24:15.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2+3*5 strategic 1 ERROR clt -2+3*5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:24:34.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2+3*5 strategic 2 OK mt 3*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:24:41.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2+15 strategic 1 OK clt -2+15 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:24:56.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9+6*10 strategic 1 ERROR clt 9+6*10 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:01.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9+6*10 strategic 2 OK mt 6*10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:05.0 CYCLE CYCLE ES_02 ES_02-1 EG28 9+60 strategic 1 OK clt 9+60 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:14.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9(-7-2) strategic 1 OK clt -7-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:18.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -9*-9 strategic 1 OK mt -9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:27.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-7*-1 strategic 1 ERROR clt -2-7*-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:32.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-7*-1 strategic 2 OK mt 7*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:36.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-(-7) strategic 1 OK clt -2-(-7) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:48.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-10*7 strategic 1 OK mt 10*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:25:51.0 CYCLE CYCLE ES_02 ES_02-1 EG28 5-70 strategic 1 OK clt 5-70 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:26:04.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*-2+6 strategic 1 OK mt -3*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:26:09.0 CYCLE CYCLE ES_02 ES_02-1 EG29 6+6 strategic 1 OK clt 6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:26:45.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7+0)*-4 strategic 1 ERROR mt (-7+0)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:26:50.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7+0)*-4 strategic 2 OK clt -7+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:26:58.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -7*-4 strategic 1 ERROR clt -7*-4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:27:03.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -7*-4 strategic 2 OK mt -7*-4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:27:22.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7(2+0) strategic 1 OK clt 2+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:27:26.0 CYCLE CYCLE ES_02 ES_02-1 EG31 7*2 strategic 1 OK mt 7*2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:27:36.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-7+2)*-6 strategic 1 OK clt -7+2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:27:40.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5*-6 strategic 1 OK mt -5*-6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:27:53.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-9*-1 strategic 1 ERROR clt -4-9*-1 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:02.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-9*-1 strategic 2 OK mt 9*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:05.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -4-(-9) strategic 1 OK clt -4-(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:17.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -6*5-5 strategic 1 OK mt -6*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:21.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -30-5 strategic 1 OK clt -30-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-6*-6 strategic 1 OK mt 6*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:34.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-(-36) strategic 1 OK clt 1-(-36) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:28:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-4)*4 strategic 1 OK clt 0-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:29:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 16 16
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:29:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -166 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:29:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG -16 -16
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:29:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 ERROR -8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:30:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-4)*4 strategic 2 ERROR mt (0-4)*4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:30:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-4)*4 strategic 3 OK clt 0-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:31:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR 0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session42 2006-02-08 08:31:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 ERROR -4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:47:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-4)*4 strategic 4 ERROR mt (0-4)*4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:47:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-4)*4 strategic 5 OK distribute (0-4)*4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:50:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (0-4)*4 strategic 6 OK clt 0-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:50:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 ERROR -4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:50:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 ERROR -8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:50:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 ERROR 4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:50:45.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 10 INITIAL_HINT 4 You need to combine like terms in (0-4)*4. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 11 OK -4*4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -4*4 strategic 1 OK mt -4*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 12 ERROR 4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 13 ERROR -4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 14 ERROR 16 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:37.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 15 INITIAL_HINT 16 In the group above, you have [-4]*[4]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session43 2006-02-08 08:51:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 16 OK -16 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:30:50.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(0-1) strategic 1 OK clt 0-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:32:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:32:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(0-1) strategic 2 OK mt 1(0-1) default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:32:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 1 BUG 2 2
Perhaps you should fill in all the constant factors above. BUG default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:32:34.0 HINT HINT ES_02 ES_02-2 EG31 constant factorsR2 strategic 2 INITIAL_HINT 2 From the original equation at the top, select 1 and drag it to the correct box above. HINT 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:32:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:32:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 0-11R1 strategic 1 OK 0-1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:33:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 3 OK 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:33:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 0-1R2 strategic 1 OK 0-1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:33:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:33:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:33:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:33:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 1 OK mt 7*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:34:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:34:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 2 ERROR clt -7-7*2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:34:29.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 3 ERROR rds -7-7*2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:34:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 4 ERROR distribute -7-7*2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:34:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 5 ERROR rf -7-7*2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:34:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 6 BUG multiply 7 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:35:36.0 HINT HINT ES_02 ES_02-2 EG28 -7-7*2 strategic 7 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:35:40.0 HINT HINT ES_02 ES_02-2 EG28 -7-7*2 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:35:45.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-7*2 strategic 9 OK mt 7*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:35:57.0 HINT HINT ES_02 ES_02-2 EG28 FinalAnswer strategic 2 INITIAL_HINT You need to perform multiplication in -7-7*2. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:36:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -7-14 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:36:36.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-14 strategic 1 OK clt -7-14 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:36:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK -21 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:37:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-6+10) strategic 1 ERROR mt -9(-6+10) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:37:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9(-6+10) strategic 2 OK clt -6+10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:37:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:37:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:38:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -9-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:38:02.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -9-4 You need to combine like terms in -9(-6+10). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:38:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -9 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:38:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:39:06.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK -9*4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:39:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9*4 strategic 1 OK mt -9*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:39:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK -36 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:39:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (2+3)*-1 strategic 1 OK mt (2+3)*-1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:39:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 1 ERROR 2+3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:39:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 2 ERROR MISSING_OPERATOR default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 3 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:02.0 HINT HINT ES_02 ES_02-2 EG30 constant factors1R1 strategic 4 INITIAL_HINT - This group of entry boxes represent the numeric coefficients. Find a numeric coefficient in the expression. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 5 ERROR 2+3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:08.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2+31R1 strategic 1 OK 2+3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 6 ERROR MISSING_OPERATOR default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factors1R1 strategic 7 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 constant factorsR2 strategic 1 OK -1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2+3R2 strategic 1 OK 2+3 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:40:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 4 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:41:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK -5 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:41:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 2*-8-4 strategic 1 OK mt 2*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:41:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 64 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:44:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR 64 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:44:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -64 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:44:57.0 HINT HINT ES_02 ES_02-2 EG29 FinalAnswer strategic 4 INITIAL_HINT -64 You need to perform multiplication in 2*-8-4. HINT 1 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:45:13.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -16-4 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:45:20.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -16-4 strategic 1 OK clt -16-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:46:03.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 ERROR 64 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:47:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 7 ERROR 20 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:48:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 8 OK -20 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:48:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4+3)*-6 strategic 1 ERROR mt (-4+3)*-6 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:48:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4+3)*-6 strategic 2 OK clt -4+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:50:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG -6 -6
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:50:35.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG 6 6
Just combine like terms in -4+3. You can multiply in the next step. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:51:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 642 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:51:11.0 HINT HINT ES_02 ES_02-2 EG30 FinalAnswer strategic 4 INITIAL_HINT 642 You need to combine like terms in (-4+3)*-6. HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:51:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 ERROR 42 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:51:43.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK -1*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:51:50.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -1*-6 strategic 1 ERROR clt -1*-6 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:51:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -1*-6 strategic 2 OK mt -1*-6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:52:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 OK 6 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:52:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(-9+5) strategic 1 OK mt 1(-9+5) default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:52:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9+51R1 strategic 1 OK -9+5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:52:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:52:42.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 1 OK 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:52:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9+5R2 strategic 1 OK -9+5 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:53:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 1*-14 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:53:12.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 1*-14 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:53:18.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 14 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:53:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -14 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session44 2006-02-10 08:53:21.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT -14 Above, you have [1]*[-9+5]. Enter that expression, simplify if necessary. HINT 1 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:46:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-1+9) strategic 1 ERROR mt -7(-1+9) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:46:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-1+9) strategic 2 OK clt -1+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:56:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-1+9) strategic 3 OK clt -1+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:57:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -7-8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:58:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -7+8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:58:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -7+8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:58:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -7+8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:59:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 11:59:47.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 6 INITIAL_HINT -7 You need to combine like terms in -7(-1+9). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:00:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK -7*8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:00:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*8 strategic 1 OK mt -7*8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:00:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK -7*8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:00:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*8 strategic 2 ERROR clt -7*8 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:00:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*8 strategic 3 OK mt -7*8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:02:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 OK -56 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:02:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -10(9-4) strategic 1 ERROR mt -10(9-4) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:02:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -10(9-4) strategic 2 OK clt 9-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:02:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -10*5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:03:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -10*5 strategic 1 OK mt -10*5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:03:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -50 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:03:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-10)*-1 strategic 1 OK clt -9-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:04:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 1 1
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:05:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -19*-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:05:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -19*-1 strategic 1 ERROR clt -19*-1 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:05:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -19*-1 strategic 2 OK mt -19*-1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:05:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 19 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session45 2006-02-10 12:06:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4-5)*-4 strategic 1 OK clt -4-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:17:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-4)*-10 strategic 1 ERROR mt (-3-4)*-10 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:17:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-4)*-10 strategic 2 OK clt -3-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:18:24.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 3*-10 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:19:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-3-4)*-10 strategic 3 OK clt -3-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:20:04.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -7*-10 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:20:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*-10 strategic 1 OK mt -7*-10 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:20:47.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 70 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:21:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 1(-2-10) strategic 1 OK mt 1(-2-10) default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:21:32.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factors1R1 strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:21:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2-101R1 strategic 1 OK -2-10 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:21:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 constant factorsR2 strategic 1 OK 1 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:21:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2-10R2 strategic 1 OK -12 default_condition perform-mult-row2-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:21:57.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:22:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-7)*-7 strategic 1 ERROR mt (-9-7)*-7 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:22:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9-7)*-7 strategic 2 OK clt -9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:22:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -16*-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:23:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -16*-7 strategic 1 OK mt -16*-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:23:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 112 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:23:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-6-8) strategic 1 ERROR mt -7(-6-8) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:23:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-6-8) strategic 2 OK clt -6-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:24:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -14 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:24:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -7*-14 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:24:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-14 strategic 1 OK mt -7*-14 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:25:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -98 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:25:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -98 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:25:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -98 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:25:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK 98 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:25:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (8-10)*1 strategic 1 OK clt 8-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:26:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -2*1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:26:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -2*1 strategic 1 OK mt -2*1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:26:18.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -2 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:26:38.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-14-19)*42 strategic 1 ERROR mt x = (-14-19)*42 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:26:42.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = (-14-19)*42 strategic 2 OK clt -14-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:27:29.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -33*42 strategic 1 OK mt -33*42 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:27:37.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -1386 strategic 1 BUG clt x = -1386 strategic You already solved the equation. x is -1386. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:27:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34A x = -1386 strategic 2 BUG rds x = -1386 strategic You already solved the equation. x is -1386. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:06.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -45(1-5) = x strategic 1 OK clt 1-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:14.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -45*-4 = x strategic 1 OK mt -45*-4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:22.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -43+11*-31 strategic 1 ERROR clt y = -43+11*-31 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:27.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -43+11*-31 strategic 2 OK mt 11*-31 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:32.0 CYCLE CYCLE ES_02 ES_02-3 EG32A y = -43+(-341) strategic 1 OK clt -43+(-341) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:45.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -7*-8-7 strategic 1 ERROR clt y = -7*-8-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:49.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -7*-8-7 strategic 2 OK mt -7*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:28:53.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = 56-7 strategic 1 OK clt 56-7 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:04.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (14+25)*20 strategic 1 ERROR mt y = (14+25)*20 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:08.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = (14+25)*20 strategic 2 OK clt 14+25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:12.0 CYCLE CYCLE ES_02 ES_02-3 EG34B y = 39*20 strategic 1 OK mt 39*20 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:25.0 CYCLE CYCLE ES_02 ES_02-3 EG35 y = 2(0-7) strategic 1 OK clt 0-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:28.0 CYCLE CYCLE ES_02 ES_02-3 EG35 y = 2*-7 strategic 1 OK mt 2*-7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:43.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -37+0*-15 strategic 1 ERROR clt x = -37+0*-15 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:48.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -37+0*-15 strategic 2 OK mt 0*-15 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:29:57.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -37+0 strategic 1 ERROR mt x = -37+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:30:27.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -37+0 strategic 2 ERROR mt x = -37+0 strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:30:33.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -37+0 strategic 3 OK clt -37+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:30:52.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 24+26*-34 strategic 1 ERROR clt x = 24+26*-34 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:30:55.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 24+26*-34 strategic 2 OK mt 26*-34 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:30:59.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = 24+(-884) strategic 1 OK clt 24+(-884) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:17.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -12+34*-29 strategic 1 OK mt 34*-29 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:20.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -12+(-986) strategic 1 OK clt -12+(-986) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:28.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -13(40-25) = x strategic 1 ERROR mt -13(40-25) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:33.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -13(40-25) = x strategic 2 OK clt 40-25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:36.0 CYCLE CYCLE ES_02 ES_02-3 EG35A -13*15 = x strategic 1 OK mt -13*15 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:45.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = (20-7)*-25 strategic 1 ERROR mt x = (20-7)*-25 strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:50.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = (20-7)*-25 strategic 2 OK clt 20-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:31:53.0 CYCLE CYCLE ES_02 ES_02-3 EG34C x = 13*-25 strategic 1 OK mt 13*-25 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:02.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 40(1+38) strategic 1 OK clt 1+38 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:06.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 40*39 strategic 1 OK mt 40*39 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:19.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = (-5-9)*-3 strategic 1 OK clt -5-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:22.0 CYCLE CYCLE ES_02 ES_02-3 EG34 x = -14*-3 strategic 1 OK mt -14*-3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:33.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -4+6*-48 strategic 1 ERROR clt x = -4+6*-48 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:38.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -4+6*-48 strategic 2 ERROR clt x = -4+6*-48 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:42.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -4+6*-48 strategic 3 OK mt 6*-48 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:45.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -4+(-288) strategic 1 OK clt -4+(-288) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:55.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -5-9*-3 strategic 1 ERROR clt x = -5-9*-3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:32:59.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -5-9*-3 strategic 2 OK mt 9*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:33:07.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -5-(-27) strategic 1 OK clt -5-(-27) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:33:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -39(-3-37) = x strategic 1 ERROR mt -39(-3-37) = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:33:27.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -39(-3-37) = x strategic 2 OK clt -3-37 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:34:13.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -39*-40 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:34:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -39*-40 = x strategic 1 OK mt -39*-40 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:34:42.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 1560 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:34:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (7-37)*12 = x strategic 1 OK clt 7-37 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:35:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -30*12 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:35:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -30*12 = x strategic 1 OK mt -30*12 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:35:27.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -360 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:35:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 41(-12-4) strategic 1 OK clt -12-4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:35:56.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 41*-16 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:36:06.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 41*-16 strategic 1 OK mt 41*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:36:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -656 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:36:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34B (-11-31)*23 = x strategic 1 OK clt -11-31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:37:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK -42*23 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:37:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34B -42*23 = x strategic 1 OK mt -42*23 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:37:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK -966 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:37:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 1 ERROR clt 7 = -6+5y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 2 ERROR mt 7 = -6+5y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 3 ERROR clt 7 = -6+5y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 4 ERROR subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 5 ERROR rf 7 = -6+5y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 6 ERROR distribute 7 = -6+5y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 7 ERROR clt 7 = -6+5y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:38:55.0 HINT HINT ES_02 ES_02-5 EG40 7 = -6+5y strategic 8 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:01.0 HINT HINT ES_02 ES_02-5 EG40 7 = -6+5y strategic 9 NEXT_HINT -6 is the constant value on the right side. What can you do to both sides of the equation to eliminate the -6 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6+5y strategic 10 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7+6 = -6+5y+6 strategic 1 OK clt 7+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -6+5y+6 strategic 1 OK clt -6+5y+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 5y strategic 1 ERROR mt 13 = 5y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 5y strategic 2 BUG subtract 5 In 5y, y is multiplied by 5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:39:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 5y strategic 3 BUG multiply 5 To remove the coefficient of 5y, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:40:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 5y strategic 4 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:40:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/5 = 5y/5 strategic 1 ERROR clt 13/5 = 5y/5 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:40:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/5 = 5y/5 strategic 2 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:40:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-3y = -9 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:40:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-3y+9 = -9+9 strategic 1 OK clt -9-3y+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:40:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = -9+9 strategic 1 OK clt -9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:41:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 0 strategic 1 BUG add 3 In -3y, y is multiplied by -3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:41:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 0 strategic 2 BUG divide 3 In this equation, y is multiplied by -3. Dividing by 3 leaves -y, so you still need to remove the negative sign. It is better to divide by -3, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:41:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = 0 strategic 3 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:42:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y/-3 = 0/-3 strategic 1 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:42:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 0/-3 strategic 1 OK rf 0/-3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:42:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3 = -7 strategic 1 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:42:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3 = -7 strategic 2 ERROR add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:42:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3 = -7 strategic 3 ERROR clt -6x+3 = -7 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:43:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3 = -7 strategic 4 ERROR divide 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:44:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3 = -7 strategic 5 ERROR multiply 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:44:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3 = -7 strategic 6 OK add -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:44:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x+3+(-3) = -7+(-3) strategic 1 OK clt -6x+3+(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:44:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -7+(-3) strategic 1 OK clt -7+(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:45:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -10 strategic 1 BUG divide 6 In this equation, x is multiplied by -6. Dividing by 6 leaves -x, so you still need to remove the negative sign. It is better to divide by -6, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:45:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -10 strategic 2 BUG add 6 In -6x, x is multiplied by -6. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:45:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -10 strategic 3 BUG divide 6 In this equation, x is multiplied by -6. Dividing by 6 leaves -x, so you still need to remove the negative sign. It is better to divide by -6, since that would leave x. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:45:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -10 strategic 4 ERROR add -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:45:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -7+(-3) strategic 2 OK clt -7+(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:46:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x = -10 strategic 5 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:46:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6x/-6 = -10/-6 strategic 1 OK rf -6x/-6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:46:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -10/-6 strategic 1 OK rf -10/-6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:47:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y+6 = -3 strategic 1 BUG add 6 Since 6 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 6 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:47:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y+6 = -3 strategic 2 ERROR add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y+6 = -3 strategic 3 OK add -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y+6+(-6) = -3+(-6) strategic 1 OK clt 8y+6+(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y = -3+(-6) strategic 1 OK clt -3+(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y = -9 strategic 1 ERROR divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y = -9 strategic 2 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8y/8 = -9/8 strategic 1 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:48:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -9/8 strategic 1 BUG rf y = -9/8 strategic You already solved the equation. y is -9/8. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:49:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+4y strategic 1 ERROR add -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:49:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -3+4y strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:50:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+3 = -3+4y+3 strategic 1 OK clt -9+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:50:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = -3+4y+3 strategic 1 OK clt -3+4y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:50:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 4y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:50:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/4 = 4y/4 strategic 1 OK rf -6/4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:50:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/2 = 4y/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:51:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -5+2x strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:51:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+5 = -5+2x+5 strategic 1 OK clt 5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:51:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = -5+2x+5 strategic 1 OK clt -5+2x+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:51:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10 = 2x strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:51:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 10/2 = 2x/2 strategic 1 OK rf 10/2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:51:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = 2x/2 strategic 1 OK rf 2x/2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:52:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -5 strategic 1 ERROR add -4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -5 strategic 2 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x = -5 strategic 3 OK add -6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+4x+(-6) = -5+(-6) strategic 1 OK clt 6+4x+(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -5+(-6) strategic 1 OK clt -5+(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -11 strategic 1 ERROR divide 11 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -11 strategic 2 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:53:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -11/4 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session46 2006-02-15 08:54:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 9y-4 strategic 1 ERROR add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:34:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8 = 7+9y strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:34:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-7 = 7+9y-7 strategic 1 OK clt 7+9y-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:34:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 8-7 = 9y strategic 1 OK clt 8-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:35:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 9y strategic 1 BUG subtract 1 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:35:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 9y strategic 2 BUG subtract 9 In 9y, y is multiplied by 9. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:35:34.0 HINT HINT ES_02 ES_02-5 EG40 1 = 9y strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:35:41.0 HINT HINT ES_02 ES_02-5 EG40 1 = 9y strategic 4 NEXT_HINT 9y is 9 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:35:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 9y strategic 5 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:36:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/9 = 9y/9 strategic 1 OK rf 9y/9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:36:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+8 = -3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:36:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x+8-8 = -3-8 strategic 1 OK clt 7x+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:36:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -3-8 strategic 1 OK clt -3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:36:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -11 strategic 1 BUG subtract 7 In 7x, x is multiplied by 7. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:37:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -11 strategic 2 ERROR add 11 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:37:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -11 strategic 3 ERROR distribute 7x = -11 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:37:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x = -11 strategic 4 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:37:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7x/7 = -11/7 strategic 1 OK rf 7x/7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:38:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 1 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:38:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 2 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:38:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 3 ERROR add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:38:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 4 BUG add 10 Since 10 is positive, you should subtract to remove it from the right side. Erase your last step and subtract 10 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:39:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 5 BUG add 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:39:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 6 BUG add 3 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:39:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 7 ERROR subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:40:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 8 ERROR divide 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:40:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = 10-8x strategic 9 ERROR multiply 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x-10 = 1 strategic 1 ERROR add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x-10 = 1 strategic 2 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x-10+10 = 1+10 strategic 1 OK clt 4x-10+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = 1+10 strategic 1 OK clt 1+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = 11 strategic 1 BUG divide 11 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = 11 strategic 2 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:41:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = 11/4 strategic 1 OK rf 4x/4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:42:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-5y = -1 strategic 1 ERROR add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:42:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-5y = -1 strategic 2 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:42:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7-5y+7 = -1+7 strategic 1 OK clt -7-5y+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:42:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = -1+7 strategic 1 OK clt -1+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:42:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y = 6 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:43:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5y/-5 = 6/-5 strategic 1 OK rf -5y/-5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:43:32.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 6/-5 strategic 1 OK rf 6/-5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:43:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 1 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:43:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 2 BUG add 9 Since 9 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 9 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:44:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 3 ERROR add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:44:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 4 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:50:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 5 BUG subtract 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:50:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 6 BUG add 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:50:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 7 BUG divide 9 You want to isolate 6y by removing 9 from the left side. 9 is added to 6y. What is the opposite of addition? BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:52:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 8 ERROR subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:52:48.0 HINT HINT ES_02 ES_02-5 EG40 6y+9 = 2 strategic 9 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:52:53.0 HINT HINT ES_02 ES_02-5 EG40 6y+9 = 2 strategic 10 NEXT_HINT 9 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 9 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:03.0 HINT HINT ES_02 ES_02-5 EG40 6y+9 = 2 strategic 11 NEXT_HINT You can subtract 9 from both sides of the equation to eliminate the constant value of 9 (9 - 9 = 0). HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9 = 2 strategic 12 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y+9-9 = 2-9 strategic 1 OK clt 6y+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = 2-9 strategic 1 OK clt 2-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = -7 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = -7/6 strategic 1 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:53:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -7/6 strategic 1 BUG rf y = -7/6 strategic You already solved the equation. y is -7/6. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:55:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y-5 = 6 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:55:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y-5+5 = 6+5 strategic 1 OK clt -4y-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:55:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y = 6+5 strategic 1 OK clt 6+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:55:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y = 11 strategic 1 BUG divide 4 In this equation, y is multiplied by -4. Dividing by 4 leaves -y, so you still need to remove the negative sign. It is better to divide by -4, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:55:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y = 11 strategic 2 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4y/-4 = 11/-4 strategic 1 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 11/-4 strategic 1 BUG mt y = 11/-4 strategic You already solved the equation. y is 11/-4. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 11/-4 strategic 2 OK rf 11/-4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y-8 = -7 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y-8+8 = -7+8 strategic 1 OK clt -7y-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:48.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = -7+8 strategic 1 OK clt -7+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:56:58.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y = 1 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:57:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7y/-7 = 1/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session47 2006-02-17 08:57:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = 1/-7 strategic 1 OK rf 1/-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:19:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1 = 3y+5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:20:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1-5 = 3y+5-5 strategic 1 OK clt -1-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:20:07.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 3y+5-5 strategic 1 OK clt 3y+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:21:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 3y strategic 1 ERROR add 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:21:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 3y strategic 2 BUG subtract 3 In 3y, y is multiplied by 3. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:21:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 3y+5-5 strategic 2 OK clt 3y+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:21:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 3y strategic 3 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:22:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/3 = 3y/3 strategic 1 OK rf -6/3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:22:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:23:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-3 = -9 strategic 1 ERROR add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:24:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-3 = -9 strategic 2 ERROR add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:24:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-3 = -9 strategic 3 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:24:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-3+3 = -9+3 strategic 1 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:24:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y-3+3 = -9+3 strategic 2 OK typein -7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:25:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y = -6 strategic 1 ERROR add 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:25:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y = -6 strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:26:09.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 1 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:26:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:27:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 3 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:27:24.0 HINT HINT ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:27:29.0 HINT HINT ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 5 NEXT_HINT Type in -6/-7 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:27:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7y/-7 = -6/-7 strategic 6 OK typein -6/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:28:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7 = 3x+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:28:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2 = 3x+2-2 strategic 1 OK typein 3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:28:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2 = 3x+2-2 strategic 2 BUG typein -5 -5 is equal to -7 plus 2. You need to calculate -7 minus 2. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:29:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2 = 3x+2-2 strategic 3 OK typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:29:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9 = 3x strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:30:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9/3 = 3x/3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:30:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9/3 = 3x/3 strategic 2 OK typein -9/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:31:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4 = -3y-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:31:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+7 = -3y-7+7 strategic 1 OK typein -3y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:31:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 4+7 = -3y-7+7 strategic 2 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:31:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11 = -3y strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:32:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11/-3 = -3y/-3 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:32:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11/-3 = -3y/-3 strategic 2 OK typein 11/-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:32:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y = -3 strategic 1 ERROR add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:33:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y = -3 strategic 2 ERROR subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:33:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y = -3 strategic 3 BUG add -3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:33:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y = -3 strategic 4 ERROR clt -7-2y = -3 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:33:57.0 HINT HINT ES_02 ES_02-6 EG40 -7-2y = -3 strategic 5 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:34:10.0 HINT HINT ES_02 ES_02-6 EG40 -7-2y = -3 strategic 6 NEXT_HINT -7 is the constant value on the left side. What can you do to both sides of the equation to eliminate the -7 (make it zero)? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:34:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y = -3 strategic 7 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:34:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y+7 = -3+7 strategic 1 OK typein -2y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:34:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y+7 = -3+7 strategic 2 ERROR typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:34:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y+7 = -3+7 strategic 3 BUG typein -10 -10 is equal to -3 minus 7. You need to calculate -3 plus 7. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:35:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-2y+7 = -3+7 strategic 4 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:37:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = 4 strategic 1 BUG add 2 In -2y, y is multiplied by -2. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:37:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = 4 strategic 2 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:38:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = 4/-2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:38:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = 4/-2 strategic 2 OK typein 4/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:38:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = y/7-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:38:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10+3 = y/7-3+3 strategic 1 OK clt 10+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:39:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 13 = y/7-3+3 strategic 1 OK clt y/7-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:39:15.0 HINT HINT ES_02 ES_02-7 EG41 13 = y/7 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:39:30.0 HINT HINT ES_02 ES_02-7 EG41 13 = y/7 strategic 2 NEXT_HINT In y/7, y is divided by 7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:39:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 13 = y/7 strategic 3 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:39:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 13*7 = y/7*7 strategic 1 OK mt 13*7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:39:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 91 = y/7*7 strategic 1 OK mt y/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:40:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = -10+(y/-4) strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:40:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+10 = -10+(y/-4)+10 strategic 1 OK clt -1+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:40:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -10+(y/-4)+10 strategic 1 OK clt -10+(y/-4)+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:40:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = y/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9*-4 = y/-4*-4 strategic 1 OK mt 9*-4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -36 = y/-4*-4 strategic 1 OK mt y/-4*-4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9+(x/-9) = 0 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -9+(x/-9)+9 = 0+9 strategic 1 OK clt -9+(x/-9)+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 0+9 strategic 1 OK clt 0+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9 = 9 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-9*-9 = 9*-9 strategic 1 OK mt x/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:41:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 9*-9 strategic 1 OK mt 9*-9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:42:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9 = -5+(x/-8) strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:42:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 9+5 = -5+(x/-8)+5 strategic 1 OK clt 9+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:42:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14 = -5+(x/-8)+5 strategic 1 OK clt -5+(x/-8)+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:42:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14 = x/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:42:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 14*-8 = x/-8*-8 strategic 1 OK mt 14*-8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:42:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -112 = x/-8*-8 strategic 1 OK mt x/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:43:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = x/8-9 strategic 1 BUG add -9 To remove -9 from the right side, you can add a positive to it. Erase your last step and add 9 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:43:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = x/8-9 strategic 2 BUG add -7 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:43:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = x/8-9 strategic 3 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:44:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*8 = (x/8-9)*8 strategic 1 BUG typein 56 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session48 2006-03-01 08:44:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7*8 = (x/8-9)*8 strategic 2 OK typein -56 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:19:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = 8+x/2 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:19:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-8 = 8+x/2-8 strategic 1 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:19:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7-8 = 8+x/2-8 strategic 2 OK typein X/2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:19:49.0 HINT HINT ES_02 ES_02-8 EG41 -1 = X/2 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:19:52.0 HINT HINT ES_02 ES_02-8 EG41 -1 = X/2 strategic 2 NEXT_HINT In X/2, x is divided by 2. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:21:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = X/2 strategic 3 BUG divide 2 To remove the coefficient of X/2, you need to divide by 1/2 or multiply by 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:21:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = X/2 strategic 4 BUG divide 2 To remove the coefficient of X/2, you need to divide by 1/2 or multiply by 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:22:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = X/2 strategic 5 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:22:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 1 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:23:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 2 BUG typein X/4 X/4 is equal to X/2 divided by 2. You need to calculate X/2 times 2. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:23:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 3 BUG typein X/2 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:23:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 4 ERROR typein X/-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:25:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = X/2 strategic 6 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:25:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 5 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:25:41.0 HINT HINT ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 6 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:25:50.0 HINT HINT ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 7 NEXT_HINT Type in X/2*2 on the right. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:26:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*2 = X/2*2 strategic 8 OK typein X/2*2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:26:13.0 HINT HINT ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:26:18.0 HINT HINT ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 2 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:26:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 3 OK mt X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:26:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:31:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 4 ERROR rf -2 = X/2*2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:31:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 5 ERROR rds -2 = X/2*2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session49 2006-03-03 08:31:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 6 OK mt X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:47:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = X/2*2 strategic 7 OK mt X/2*2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:48:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:48:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:48:24.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 INITIAL_HINT 1 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:48:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 OK X*2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:48:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:49:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR X*4 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:49:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR X*2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:49:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR X*2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:49:26.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 4 INITIAL_HINT X*2 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:49:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK X*2/2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2 = X*2/2 strategic 1 OK rf X*2/2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 2 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:53:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:43.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 6 INITIAL_HINT Above is the simplified form of the expression X*2/2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:54:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:56:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10-5 = -9 strategic 1 BUG subtract 5 Since -5 is negative, you should add to remove it from the left side. Erase your last step and add 5 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session50 2006-03-03 08:56:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/10-5 = -9 strategic 2 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:18:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(x/-9) = -8 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:18:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(x/-9)+10 = -8+10 strategic 1 OK typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:18:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(x/-9)+10 = -8+10 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:18:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10+(x/-9)+10 = -8+10 strategic 3 OK typein X/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:18:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9 = 2 strategic 1 OK rf X/-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:18.0 HINT HINT ES_02 ES_02-8 EG41 X/-9 = 2 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9 = 2 strategic 3 BUG divide 2 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:32.0 HINT HINT ES_02 ES_02-8 EG41 X/-9 = 2 strategic 4 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:34.0 HINT HINT ES_02 ES_02-8 EG41 X/-9 = 2 strategic 5 NEXT_HINT In X/-9, x is divided by -9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9 = 2 strategic 6 BUG divide -9 To remove the coefficient of X/-9, you need to divide by 1/-9 or multiply by -9. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:53.0 HINT HINT ES_02 ES_02-8 EG41 X/-9 = 2 strategic 7 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:54.0 HINT HINT ES_02 ES_02-8 EG41 X/-9 = 2 strategic 8 NEXT_HINT In X/-9, x is divided by -9. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:19:58.0 HINT HINT ES_02 ES_02-8 EG41 X/-9 = 2 strategic 9 NEXT_HINT Multiply both sides by -9. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:20:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9 = 2 strategic 10 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:20:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = 2*-9 strategic 1 OK typein -18 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:20:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = 2*-9 strategic 2 ERROR typein 81 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:21:07.0 HINT HINT ES_02 ES_02-8 EG41 X/-9*-9 = 2*-9 strategic 3 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:21:12.0 HINT HINT ES_02 ES_02-8 EG41 X/-9*-9 = 2*-9 strategic 4 NEXT_HINT Type in X/-9*-9 on the left. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:21:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = 2*-9 strategic 5 OK typein X/-9*(-9) default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:21:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/-9*-9 = -18 strategic 1 OK mt X/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:22:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:22:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:22:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR 81 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:22:16.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT 81 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:22:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK X*-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:22:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 ERROR 81 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:25:24.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 INITIAL_HINT 81 You need to multiply the denominators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:25:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:25:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR X*18 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:25:55.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 2 INITIAL_HINT X*18 Simplify the above fraction. HINT 1 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:26:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK X*-9/-9 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:26:45.0 HINT HINT ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:26:46.0 HINT HINT ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 2 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:26:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 3 OK rf X*-9/-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:26:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 2 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 3 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 3 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:13.0 HINT HINT ES_02 ES_02-8 EG41 row1-N-constant factors strategic 4 INITIAL_HINT - This entry box represent the constant factor of the numerator. Find the constant factor in the numerator of the expression X*-9/-9. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 6 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 7 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:27:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:30:46.0 HINT HINT ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 4 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:30:50.0 HINT HINT ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 5 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:30:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 6 ERROR rds X*-9/-9 = -18 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X*-9/-9 = -18 strategic 7 OK rf X*-9/-9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 4 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 2 ERROR - default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 3 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 4 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:31:59.0 HINT HINT ES_02 ES_02-8 EG41 row1-D-X strategic 5 INITIAL_HINT -9 This entry box represent the X factor of the denominator. Find the X factor in the denominator of the expression X*-9/-9. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:32:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 3 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:32:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 6 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:32:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 8 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:32:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 7 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:32:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 OK -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:32:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:34:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:34:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:34:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 ERROR 9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:34:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:34:54.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 INITIAL_HINT X The common factor between the numerator and denominator of [-9]/[-9] is -9. This set of entry boxes represent the simplified form of [-9]/[-9]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:35:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 5 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:35:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR -9 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:38:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:39:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:39:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 6 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:39:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 7 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:39:22.0 HINT HINT ES_02 ES_02-8 EG41 row3-N-constant factors strategic 8 INITIAL_HINT X The common factor between the numerator and denominator of [-9]/[-9] is -9. This set of entry boxes represent the simplified form of [-9]/[-9]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:39:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 9 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:39:48.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 INITIAL_HINT -9 The common factor between the numerator and denominator of [-9]/[-9] is -9. This set of entry boxes represent the simplified form of [-9]/[-9]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK X/1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:23.0 HINT HINT ES_02 ES_02-8 EG41 X/1 = -18 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 2 ERROR rds X/1 = -18 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 3 OK rf X/1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 5 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:40:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 8 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 9 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 3 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 10 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 3 ERROR X. default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:41:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 4 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:42:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:42:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:42:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK X/1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:44:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 4 ERROR clt X/1 = -18 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 5 OK rf X/1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 9 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 6 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 10 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 11 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 5 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:46:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:47:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 3 ERROR X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:47:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:47:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR 1/X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:47:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 ERROR 1/X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:47:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR 1/X default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:47:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 OK X/1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:53:48.0 HINT HINT ES_02 ES_02-8 EG41 X/1 = -18 strategic 6 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:53:49.0 HINT HINT ES_02 ES_02-8 EG41 X/1 = -18 strategic 7 NEXT_HINT Simplify fractions on the left side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 8 ERROR mt X/1 = -18 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 9 OK rf X/1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 12 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 6 BUG X X
Perhaps you should fill in the numerator of the X factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 7 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 6 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 7 OK X default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 10 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 11 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:54:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK X/1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session51 2006-03-08 08:55:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/1 = -18 strategic 10 ERROR add 18 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:21:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4 = 9 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:22:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 1 ERROR typein Y/-7*4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:22:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 2 ERROR typein Y/-74 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:23:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 3 BUG typein Y/-7-4 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:23:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 4 OK typein Y/-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:26:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 5 BUG typein 9 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:26:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 6 BUG typein 9 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:26:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 7 ERROR typein -9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:28:48.0 HINT HINT ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 8 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:28:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7-4+4 = 9+4 strategic 9 OK typein 13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:29:39.0 HINT HINT ES_02 ES_02-8 EG41 Y/-7 = 13 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:29:43.0 HINT HINT ES_02 ES_02-8 EG41 Y/-7 = 13 strategic 2 NEXT_HINT In Y/-7, y is divided by -7. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:29:57.0 HINT HINT ES_02 ES_02-8 EG41 Y/-7 = 13 strategic 3 NEXT_HINT Multiply both sides by -7. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:30:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7 = 13 strategic 4 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:30:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = 13*-7 strategic 1 OK typein -91 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:31:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = 13*-7 strategic 2 BUG typein Y/-7 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:31:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = 13*-7 strategic 3 OK typein Y/-7*-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:32:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = -91 strategic 1 OK mt Y/-7*-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:34:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-7*-7 = -91 strategic 2 OK mt Y/-7*-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:34:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:34:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR Y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 ERROR Y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:31.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 INITIAL_HINT 1 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 7 OK Y*-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:36:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 ERROR Y/-7 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:37:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK Y*-7/-7 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:37:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y*-7/-7 = -91 strategic 1 ERROR clt Y*-7/-7 = -91 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:40:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y*-7/-7 = -91 strategic 2 OK rf Y*-7/-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:40:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 OK Y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:40:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 ERROR -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:40:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:40:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:40:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK Y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:41:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:42:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 ERROR Y*-7/1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:43:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK Y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:47:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+x/8 = 3 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+x/8-5 = 3-5 strategic 1 OK typein x/8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:48:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5+x/8-5 = 3-5 strategic 2 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:49:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8 = -2 strategic 1 ERROR mt x/8 = -2 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:49:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8 = -2 strategic 2 ERROR multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:49:41.0 HINT HINT ES_02 ES_02-8 EG41 x/8 = -2 strategic 3 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:49:52.0 HINT HINT ES_02 ES_02-8 EG41 x/8 = -2 strategic 4 NEXT_HINT In x/8, x is divided by 8. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:50:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8 = -2 strategic 5 BUG divide 8 To remove the coefficient of x/8, you need to divide by 1/8 or multiply by 8. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:50:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8 = -2 strategic 6 OK multiply 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:50:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8*8 = -2*8 strategic 1 OK typein -16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:50:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8*8 = -2*8 strategic 2 BUG typein x/8 You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:51:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8*8 = -2*8 strategic 3 OK typein x/8*8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:51:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/8*8 = -16 strategic 1 OK mt x/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:51:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 ERROR x/8*8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:53:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:53:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:53:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 ERROR x/8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:53:35.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 INITIAL_HINT x/8 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:53:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 OK x*8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:53:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x*8/8 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x*8/8 = -16 strategic 1 ERROR mt x*8/8 = -16 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x*8/8 = -16 strategic 2 OK rf x*8/8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:54:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2X strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 1 ERROR 8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session52 2006-03-09 08:55:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 OK x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:19:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -1+(y/-2) strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:19:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 1 OK typein y/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:19:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 2 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:19:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 3 ERROR typein 21 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:19:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 4 ERROR typein 2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:20:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 5 BUG typein -1 You haven't performed any operations. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:20:49.0 HINT HINT ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 6 INITIAL_HINT default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:21:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+1 = -1+(y/-2)+1 strategic 7 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:21:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2 strategic 1 OK rf y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:22:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2 strategic 2 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:23:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*-2 = y/-2*-2 strategic 1 OK typein y/-2*-2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:23:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*-2 = y/-2*-2 strategic 2 ERROR typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:23:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0*-2 = y/-2*-2 strategic 3 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:23:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2*-2 strategic 1 ERROR clt 0 = y/-2*-2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:23:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2*-2 strategic 2 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:24:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 1 OK y/-2*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:24:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:24:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:25:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK y/-2*4/-2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:25:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2*4/-2 strategic 1 OK mt y/-2*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:26:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 2 ERROR y/-8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:27:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 3 OK y/-2*-8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:27:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 3 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:27:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 2 ERROR y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:27:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 3 OK y/-2*-8/-2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:27:51.0 HINT HINT ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:27:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 2 ERROR rds 0 = (y/-2*-8/-2)/-2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:28:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 3 ERROR rf y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:28:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 4 OK y/-2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:29:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 4 ERROR rf y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:29:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 5 OK y/-2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:29:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 5 ERROR clt 0 = (y/-2*-8/-2)/-2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:30:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 6 ERROR multiply -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:30:27.0 HINT HINT ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 7 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:30:28.0 HINT HINT ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 8 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:30:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y/-2*-8/-2)/-2 strategic 9 OK mt y/-2*-8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:31:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 4 ERROR y/-2*-8 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:31:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 5 ERROR y/16 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:31:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 6 OK y/-2*16 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:32:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 4 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:32:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 6 ERROR y/-2*16 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:32:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 7 OK y/-2*16/-2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:32:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = ((y/-2*16/-2)/-2)/-2 strategic 1 ERROR rf y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:32:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2*4/-2 strategic 2 ERROR rf y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:33:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 8 ERROR y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:33:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 9 ERROR /-2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:33:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 10 OK y/-2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:33:25.0 HINT HINT ES_02 ES_02-8 EG41 0 = y/-2*4/-2 strategic 3 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:33:28.0 HINT HINT ES_02 ES_02-8 EG41 0 = y/-2*4/-2 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:33:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = y/-2*4/-2 strategic 5 OK mt y/-2*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:34:19.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 7 ERROR y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:34:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 8 ERROR y/-2*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:34:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 9 ERROR y/4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:34:51.0 HINT HINT ES_02 ES_02-8 EG41 pm-r-num-node strategic 10 INITIAL_HINT y/4 You need to multiply the numerators together. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:35:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-num-node strategic 11 OK y*4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:35:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 pm-r-den-node strategic 5 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:35:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 11 OK y*4/-2 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:35:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y*4/-2)/-2 strategic 1 ERROR mt 0 = (y*4/-2)/-2 strategic default_condition [SkillRule: invert-mult; {ivm}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:35:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = (y*4/-2)/-2 strategic 2 OK rf y*4/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:35:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 2 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 1 OK 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:08.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 1 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 1 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 2 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 1 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 2 ERROR 4 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:58.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 3 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:36:58.0 HINT HINT ES_02 ES_02-8 EG41 row3-D-y strategic 4 INITIAL_HINT y The common factor between the numerator and denominator of [y]/[1] is 1. This set of entry boxes represent the simplified form of [y]/[1]. HINT 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:37:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 5 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:37:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 6 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:37:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 12 ERROR y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:37:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 13 ERROR y/-2*1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:37:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 14 ERROR y/-2*1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:37:53.0 HINT HINT ES_02 ES_02-8 EG41 FinalAnswer strategic 15 INITIAL_HINT y/-2*1 Above is the simplified form of the expression y*4/-2. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 16 OK -2y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:11.0 HINT HINT ES_02 ES_02-8 EG41 0 = -2y/-2 strategic 1 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:12.0 HINT HINT ES_02 ES_02-8 EG41 0 = -2y/-2 strategic 2 NEXT_HINT Simplify fractions on the right side. HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 0 = -2y/-2 strategic 3 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-N-y strategic 3 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-constant factors strategic 2 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row1-D-y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2constant factors strategic 3 OK -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 2 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row2y strategic 3 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 3 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:38:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-constant factors strategic 4 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 2 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-N-y strategic 4 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 4 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-constant factors strategic 5 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 7 ERROR -2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:39:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 row3-D-y strategic 8 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:40:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 17 OK y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:40:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 3/y strategic 1 ERROR add 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:40:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 3/y strategic 2 BUG multiply 3 To remove the coefficient of 3/y, you need to divide. Erase your last step and then divide both sides by 3. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 3/y strategic 3 ERROR mt -5 = 3/y strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:10.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 3/y strategic 4 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:12.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 3/y strategic 5 NEXT_HINT 3/y is 3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 3/y strategic 6 ERROR divide 3 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:26.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 3/y strategic 7 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:27.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 3/y strategic 8 NEXT_HINT 3/y is 3 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:30.0 HINT HINT ES_02 ES_02-9 EG44 -5 = 3/y strategic 9 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 3/y strategic 10 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:41:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5y = 3/y*y strategic 1 OK mt 3/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5y = 3 strategic 1 ERROR clt -5y = 3 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:05.0 HINT HINT ES_02 ES_02-9 EG44 -5y = 3 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:10.0 HINT HINT ES_02 ES_02-9 EG44 -5y = 3 strategic 3 NEXT_HINT -5y is -5 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5y = 3 strategic 4 BUG divide 3 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5y = 3 strategic 5 BUG divide 5 In this equation, y is multiplied by -5. Dividing by 5 leaves -y, so you still need to remove the negative sign. It is better to divide by -5, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:47.0 HINT HINT ES_02 ES_02-9 EG44 -5y = 3 strategic 6 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:50.0 HINT HINT ES_02 ES_02-9 EG44 -5y = 3 strategic 7 NEXT_HINT -5y is -5 times y. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:42:54.0 HINT HINT ES_02 ES_02-9 EG44 -5y = 3 strategic 8 NEXT_HINT Divide both sides by -5. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5y = 3 strategic 9 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5y/-5 = 3/-5 strategic 1 OK rf -5y/-5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 3/-5 strategic 1 OK rf 3/-5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -10/y strategic 1 ERROR subtract 10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -10/y strategic 2 BUG subtract 6 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:56.0 HINT HINT ES_02 ES_02-9 EG44 6 = -10/y strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:43:57.0 HINT HINT ES_02 ES_02-9 EG44 6 = -10/y strategic 4 NEXT_HINT -10/y is -10 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:44:01.0 HINT HINT ES_02 ES_02-9 EG44 6 = -10/y strategic 5 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:44:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -10/y strategic 6 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:44:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = -10/y*y strategic 1 OK mt -10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:44:49.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y = -10 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:44:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6y/6 = -10/6 strategic 1 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:44:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -10/6 strategic 1 OK rf -10/6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:46:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -5/3 strategic 1 BUG clt y = -5/3 strategic You already solved the equation. y is -5/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:47:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -5/x strategic 1 ERROR multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:47:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -5/x strategic 2 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:47:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = -5/x*x strategic 1 OK mt -5/x*x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:47:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = -5 strategic 1 ERROR mt 6x = -5 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x = -5 strategic 2 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6x/6 = -5/6 strategic 1 OK rf 6x/6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -5/6 strategic 1 BUG rf x = -5/6 strategic You already solved the equation. x is -5/6. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y = -7 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/y*y = -7y strategic 1 OK mt -4/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4/-7 = -7y/-7 strategic 1 OK rf -4/-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:48:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4/7 = -7y/-7 strategic 1 OK rf -7y/-7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:49:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = 10/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:49:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5y = 10/y*y strategic 1 OK mt 10/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:49:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5y = 10 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:49:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5y/5 = 10/5 strategic 1 OK rf 5y/5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:49:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 10/5 strategic 1 BUG mt y = 10/5 strategic You already solved the equation. y is 10/5. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:49:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 10/5 strategic 2 OK rf 10/5 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:50:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = 9/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:50:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9/y*y strategic 1 OK mt 9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:50:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9 strategic 1 ERROR mt -3y = 9 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:51:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9 strategic 2 BUG divide 9 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:51:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = 9 strategic 3 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:51:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y/-3 = 9/-3 strategic 1 OK rf -3y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:52:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 9/-3 strategic 1 OK rf 9/-3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:52:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1 = -3/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:52:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = -3/y*y strategic 1 OK typein -3/y*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:52:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = -3/y*y strategic 2 OK typein -1*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:52:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = -3/y*y strategic 3 OK mt -3/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:53:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR y/-3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:53:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -3*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:53:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:54:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -3 default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session53 2006-03-10 08:54:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -1y = -3 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:32:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -6/x strategic 1 BUG multiply -6 To remove the coefficient of -6/x, you need to divide. Erase your last step and then divide both sides by -6. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:32:21.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -6/x strategic 2 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:32:24.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -6/x strategic 3 NEXT_HINT -6/x is -6 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:32:33.0 HINT HINT ES_02 ES_02-10 EG44 -2 = -6/x strategic 4 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:32:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -6/x strategic 5 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:33:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6/x*x strategic 1 BUG typein -6/x You haven't performed any operations. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:33:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6/x*x strategic 2 OK typein -6/xx default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:33:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6/x*x strategic 3 OK typein -2*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:33:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6/x*x strategic 4 OK mt -6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:33:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 ERROR -6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:33:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 2 OK -6x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK -6x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6x/x strategic 1 ERROR clt -2x = -6x/x strategic default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:45.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -6x/x strategic 2 INITIAL_HINT default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6x/x strategic 3 OK rf -6x/x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:34:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 2 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 3 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 4 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 ERROR 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 BUG x x
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 2 BUG 1 1
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 3 BUG 1 1
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 4 BUG 1 1
Perhaps you should fill in the numerator of the constant factors above. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:35:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 5 BUG MISSING_OPERATOR Be sure to select both the term and the negative sign in front of it. BUG default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:36:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 6 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:36:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 2 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:36:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 5 OK -6 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:36:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:36:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:36:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR -6/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -6/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR -6/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 5 ERROR x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 ERROR -6x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:43.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 7 INITIAL_HINT -6x Above is the simplified form of the expression -6x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:37:59.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 8 OK -6 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:39:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6 strategic 1 BUG add 2 In -2x, x is multiplied by -2. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:39:17.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -6 strategic 2 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:39:20.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -6 strategic 3 NEXT_HINT -2x is -2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:39:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6 strategic 4 ERROR multiply x default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:39:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6 strategic 5 BUG multiply -2 To remove the coefficient of -2x, you need to divide. Erase your last step and then divide both sides by -2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:39:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6 strategic 6 BUG multiply -6 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:40:04.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -6 strategic 7 INITIAL_HINT default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:40:06.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -6 strategic 8 NEXT_HINT -2x is -2 times x. How do you undo multiplication? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:40:14.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -6 strategic 9 NEXT_HINT Divide both sides by -2. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:40:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -6 strategic 10 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:40:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -6/-2 strategic 1 ERROR typein -4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:41:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -6/-2 strategic 2 OK typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:41:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -6/-2 strategic 3 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:41:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -6/-2 strategic 4 ERROR typein x-1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:41:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -6/-2 strategic 5 BUG typein -1x You are dividing a negative by a negative. The result should be positive. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:41:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -6/-2 strategic 6 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:21.0 HINT HINT ES_02 ES_02-10 EG44 -7 = -7/x strategic 1 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:22.0 HINT HINT ES_02 ES_02-10 EG44 -7 = -7/x strategic 2 NEXT_HINT -7/x is -7 divided by x. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:30.0 HINT HINT ES_02 ES_02-10 EG44 -7 = -7/x strategic 3 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = -7/x strategic 4 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -7/x*x strategic 1 OK typein -7/xx default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -7/x*x strategic 2 OK typein -7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:42:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -7/x*x strategic 3 OK mt -7/x*x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:43:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK -7x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:43:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:43:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 ERROR -7/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:43:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 OK -7x/x default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:43:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -7x/x strategic 1 OK rf -7x/x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2X strategic 1 OK x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:44:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK -7 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-X strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR x default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 ERROR -7/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 4 ERROR -7/x default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:45.0 HINT HINT ES_02 ES_02-10 EG44 FinalAnswer strategic 5 INITIAL_HINT -7/x Above is the simplified form of the expression -7x/x. Enter the final result here. HINT 1 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:45:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 6 OK -7 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:46:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x = -7 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:46:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = -7/-7 strategic 1 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:46:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7x/-7 = -7/-7 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:48:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 2/y strategic 1 ERROR multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:48:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 2/y strategic 2 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:48:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7 = 2/y strategic 3 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:48:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 2/y*y strategic 1 OK typein 2/yy default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 2/y*y strategic 2 OK typein -7y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:11.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 2/y*y strategic 3 OK mt 2/y*y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-num-node strategic 1 OK 2y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 pm-r-den-node strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 1 OK 2y/y default_condition perform-mult-r-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 2y/y strategic 1 OK rf 2y/y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-N-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:49:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row1-D-constant factors strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 1 ERROR 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row2Y strategic 1 OK y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 OK 2 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-Y strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:35.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 1 ERROR y default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-constant factors strategic 2 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-D-Y strategic 1 OK 1 default_condition hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 2 ERROR 2/y default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:50:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 FinalAnswer strategic 3 OK 2 default_condition simplify-fractions-sp hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:51:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y = 2 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:51:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 2/-7 strategic 1 OK typein -.29 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:51:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 2/-7 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 jR1rpwLHNu session54 2006-03-17 08:52:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7y/-7 = 2/-7 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 l8kuAhlIWI session0 2005-09-09 12:24:27.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 BUG subtract 5 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:25:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 2 ERROR multiply -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:26:45.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 3 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:27:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:27:40.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:27:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:29:34.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR distribute 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:30:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:31:11.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (1-10)*-6 strategic 1 OK distribute (1-10)*-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:31:19.0 CYCLE CYCLE ES_02 ES_02-1 EG30 1*-6-10*-6 strategic 1 ERROR clt 1*-6-10*-6 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:31:53.0 CYCLE CYCLE ES_02 ES_02-1 EG30 1*-6-10*-6 strategic 2 ERROR clt 1*-6-10*-6 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:33:03.0 CYCLE CYCLE ES_02 ES_02-1 EG30 1*-6-10*-6 strategic 3 BUG multiply 6 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:36:08.0 CYCLE CYCLE ES_02 ES_02-1 EG30 1*-6-10*-6 strategic 4 OK mt 1*-6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:36:16.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6-10*-6 strategic 1 OK mt 10*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:37:06.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6-(-60) strategic 1 OK clt -6-(-60) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:37:30.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8(6-2) strategic 1 OK clt 6-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:37:43.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*4 strategic 1 BUG multiply 4 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:39:01.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*4 strategic 2 ERROR clt -8*4 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:39:18.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*4 strategic 3 ERROR distribute -8*4 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:39:54.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*4 strategic 4 BUG multiply 8 Since this problem is not an equation, transformations are not applicable. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:40:33.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -8*4 strategic 5 OK mt -8*4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:42:12.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*0-4 strategic 1 ERROR clt -3*0-4 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:42:27.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*0-4 strategic 2 OK mt -3*0 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:42:48.0 CYCLE CYCLE ES_02 ES_02-1 EG29 0-4 strategic 1 OK clt 0-4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:44:08.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-10*7 strategic 1 ERROR clt -5-10*7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:44:29.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-10*7 strategic 2 ERROR clt -5-10*7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:44:58.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-10*7 strategic 3 BUG add 7 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:45:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-10*7 strategic 4 OK mt 10*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:45:49.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-70 strategic 1 OK clt -5-70 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:46:40.0 CYCLE CYCLE ES_02 ES_02-1 EG28 3+8*4 strategic 1 ERROR clt 3+8*4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:46:48.0 CYCLE CYCLE ES_02 ES_02-1 EG28 3+8*4 strategic 2 OK mt 8*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:46:56.0 CYCLE CYCLE ES_02 ES_02-1 EG28 3+32 strategic 1 OK clt 3+32 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:47:39.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*-6+3 strategic 1 ERROR distribute -3*-6+3 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:47:47.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*-6+3 strategic 2 OK mt -3*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:47:53.0 CYCLE CYCLE ES_02 ES_02-1 EG29 18+3 strategic 1 OK clt 18+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:48:27.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7+8*-7 strategic 1 ERROR distribute -7+8*-7 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:48:37.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7+8*-7 strategic 2 OK mt 8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:48:46.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -7+(-56) strategic 1 OK clt -7+(-56) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:49:07.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8+6*-10 strategic 1 OK mt 6*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:49:20.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8+(-60) strategic 1 OK clt 8+(-60) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:49:38.0 CYCLE CYCLE ES_02 ES_02-1 EG29 5*-2-9 strategic 1 OK mt 5*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:49:42.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -10-9 strategic 1 OK clt -10-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:49:54.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5+0)*1 strategic 1 ERROR rf (-5+0)*1 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:50:08.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-5+0)*1 strategic 2 OK mt (-5+0)*1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:50:39.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -5+0 strategic 1 OK clt -5+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session0 2005-09-09 12:51:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(-2-8) strategic 1 ERROR mt -6(-2-8) strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:18:08.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3(-8+8) strategic 1 OK distribute -3(-8+8) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:19:21.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -3*-8-3*8 strategic 1 OK mt -3*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:19:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 24-3*8 strategic 1 OK mt 3*8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:19:43.0 CYCLE CYCLE ES_02 ES_02-1 EG31 24-24 strategic 1 OK clt 24-24 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:20:16.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (2-7)*-3 strategic 1 OK distribute (2-7)*-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:20:25.0 CYCLE CYCLE ES_02 ES_02-1 EG30 2*-3-7*-3 strategic 1 OK mt 2*-3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:20:31.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6-7*-3 strategic 1 OK mt 7*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:20:36.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -6-(-21) strategic 1 OK clt -6-(-21) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:21:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (1+0)*-9 strategic 1 OK clt 1+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:21:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR - default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:22:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR - default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:22:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR - default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:23:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 BUG 1+0 1+0
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:24:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 BUG 1 1
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:24:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 6 OK 1*-9 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:24:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-9 strategic 1 OK mt 1*-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:24:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 7 ERROR 9 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:25:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 8 OK 1*-9 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:26:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-9 strategic 2 ERROR clt 1*-9 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:26:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*-9 strategic 3 OK mt 1*-9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:26:47.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 9 OK -9 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:27:53.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(9-2) strategic 1 OK distribute -5(9-2) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:28:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:28:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -5(9-2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:28:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -5(9-2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:28:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -5(9-2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:28:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -5(9-2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:28:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -5(9-2 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:29:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK -45+10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:30:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -45+10 strategic 1 OK clt -45+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:30:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 OK -35 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:31:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-9-5 strategic 1 ERROR clt 1*-9-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:31:30.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-9-5 strategic 2 ERROR distribute 1*-9-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:31:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-9-5 strategic 3 BUG add 5 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:36:56.0 CYCLE CYCLE ES_02 ES_02-2 EG29 1*-9-5 strategic 4 OK mt 1*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:37:15.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -9-5 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:37:24.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9-5 strategic 1 OK clt -9-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:37:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -14 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:39:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4+5)*9 strategic 1 OK distribute (-4+5)*9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:41:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 1 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:41:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 1 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:42:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 1*9 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:42:47.0 CYCLE CYCLE ES_02 ES_02-2 EG30 1*9 strategic 1 OK mt 1*9 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:42:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK 9 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:43:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-5-7) strategic 1 OK distribute -2(-5-7) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:43:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 10+14 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:44:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 10+14 strategic 1 OK clt 10+14 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:44:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 24 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:44:52.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6-2*5 strategic 1 OK mt 2*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:45:53.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 6-10 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:46:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6-10 strategic 1 OK clt 6-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:46:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -6 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:46:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -4 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:47:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7(-4-1) strategic 1 OK distribute 7(-4-1) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:47:38.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -28+-7 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:47:50.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -28-7 strategic 1 OK clt -28-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:48:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -35 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:48:31.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6+1)*-10 strategic 1 OK distribute (-6+1)*-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:48:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -5-10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:50:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -5*-10 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:50:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -5*-10 strategic 1 ERROR clt -5*-10 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:51:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -5*-10 strategic 2 OK mt -5*-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session1 2005-09-14 12:51:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 50 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:19:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (10-7)*-5 strategic 1 OK distribute (10-7)*-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:20:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 3*-5 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:21:05.0 CYCLE CYCLE ES_02 ES_02-2 EG30 3*-5 strategic 1 OK mt 3*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:21:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -15 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:21:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6(-7-3) strategic 1 OK clt -7-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:22:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 42-18 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:23:17.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 BUG 39 39
You need to combine the like terms, not multiply. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:23:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -16 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:23:30.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -16 You need to combine like terms in -6(-7-3). HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:24:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -6-10 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:26:49.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -6*-10 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:27:34.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-10 strategic 1 ERROR clt -6*-10 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:27:45.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -6*-10 strategic 2 OK mt -6*-10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:27:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 OK 60 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:28:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-4+9) strategic 1 OK distribute -2(-4+9) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:29:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 8+-18 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:30:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 8-18 strategic 1 OK clt 8-18 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:30:14.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 10 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:30:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -26 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:30:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -10. default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:30:56.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 5 INITIAL_HINT -10. In the group above, you have [8]+[-18]. Simplify that expression. HINT 1 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:31:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -10 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:31:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-7+0)*8 strategic 1 OK distribute (-7+0)*8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:32:49.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -7*8 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:34:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*8 strategic 1 ERROR clt -7*8 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:34:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -7*8 strategic 2 OK mt -7*8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:34:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK -56 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:35:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 3(-3+10) strategic 1 OK distribute 3(-3+10) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:35:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -9+13 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:35:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -9+30 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:36:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -9+30 strategic 1 OK clt -9+30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:36:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 21 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:36:57.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6-6)*-5 strategic 1 OK distribute (-6-6)*-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:37:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 0*-5 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:38:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 BUG 12*-5 12*-5
Check the sign of your answer. BUG default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:38:26.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 BUG 12*-5 12*-5
Check the sign of your answer. BUG default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:39:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK -12*-5 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:40:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -12*-5 strategic 1 OK mt -12*-5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:42:10.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 60 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:42:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(4-7) strategic 1 OK distribute -4(4-7) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:43:20.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -16-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:08.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:45:11.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -16+-28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:47:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -16+28 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:47:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -16+28 strategic 1 OK clt -16+28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:48:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 OK 12 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:49:12.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-10-7)*-8 = x strategic 1 OK distribute (-10-7)*-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:49:21.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -10*-8-7*-8 = x strategic 1 OK mt -10*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:49:26.0 CYCLE CYCLE ES_02 ES_02-3 EG34 80-7*-8 = x strategic 1 OK mt 7*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:49:38.0 CYCLE CYCLE ES_02 ES_02-3 EG34 80-(-56) = x strategic 1 ERROR distribute 80-(-56) = x strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:49:44.0 CYCLE CYCLE ES_02 ES_02-3 EG34 80-(-56) = x strategic 2 OK clt 80-(-56) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:50:20.0 CYCLE CYCLE ES_02 ES_02-3 EG35A y = 46(-35-32) strategic 1 OK distribute 46(-35-32) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:50:33.0 CYCLE CYCLE ES_02 ES_02-3 EG35A y = 46*-35+46*-32 strategic 1 OK mt 46*-35 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:50:37.0 CYCLE CYCLE ES_02 ES_02-3 EG35A y = -1610+46*-32 strategic 1 OK mt 46*-32 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:50:42.0 CYCLE CYCLE ES_02 ES_02-3 EG35A y = -1610+(-1472) strategic 1 OK clt -1610+(-1472) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:50:57.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -7+9*2 strategic 1 ERROR distribute x = -7+9*2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session2 2005-09-16 12:51:05.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -7+9*2 strategic 2 ERROR clt x = -7+9*2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:40:56.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 5-3*5 strategic 1 ERROR add 3.5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:41:08.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 5-3*5 strategic 2 ERROR clt y = 5-3*5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:43:56.0 HINT HINT ES_02 ES_02-3 EG32 y = 5-3*5 strategic 3 INITIAL_HINT default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:44:01.0 HINT HINT ES_02 ES_02-3 EG32 y = 5-3*5 strategic 4 NEXT_HINT Perform multiplication. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:44:37.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 5-3*5 strategic 5 OK mt 3*5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:44:45.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = 5-15 strategic 1 OK clt 5-15 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:46:17.0 CYCLE CYCLE ES_02 ES_02-3 EG33A y = -45+15*21 strategic 1 OK mt 15*21 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:46:22.0 CYCLE CYCLE ES_02 ES_02-3 EG33A y = -45+315 strategic 1 OK clt -45+315 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:46:45.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = 42-30*-47 strategic 1 ERROR clt x = 42-30*-47 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:46:51.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = 42-30*-47 strategic 2 OK mt 30*-47 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:47:02.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = 42-(-1410) strategic 1 OK clt 42-(-1410) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:47:22.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = 44*35-16 strategic 1 OK mt 44*35 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:47:45.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = 1540-16 strategic 1 OK clt 1540-16 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:48:48.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = -18(-35-5) strategic 1 OK distribute -18(-35-5) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:48:59.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = -18*-35-18*-5 strategic 1 OK mt -18*-35 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:49:06.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 630-18*-5 strategic 1 OK mt 18*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:49:13.0 CYCLE CYCLE ES_02 ES_02-3 EG35B y = 630-(-90) strategic 1 OK clt 630-(-90) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:49:54.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-4+45)*-35 strategic 1 OK distribute (-4+45)*-35 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:50:01.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 1 INITIAL_HINT In the group above, you have [-35]*[-4]+[-35]*[45]. Perform that addition. HINT 1 default_condition distribute-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session3 2005-09-21 12:52:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-4+45)*-35 strategic 2 OK clt -4+45 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:18:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-19-47)*-45 = x strategic 1 OK clt -19-47 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:18:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-19-47)*-45 = x strategic 2 ERROR mt (-19-47)*-45 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:28:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-26-33)*21 strategic 1 OK clt -26-33 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:21.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 ERROR -35*21 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:28.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 2 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:30.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 3 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:32.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 4 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:34.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 5 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:39.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 6 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:41.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 7 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:42.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 8 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:43.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 9 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:43.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 10 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:44.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 11 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:45.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 12 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:47.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 13 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:47.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 14 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:29:49.0 HINT HINT ES_02 ES_02-4 EG34A FinalAnswer strategic 15 INITIAL_HINT -35*21 You need to combine like terms in (-26-33)*21. HINT 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:30:31.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 16 OK -59*21 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:30:42.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -59*21 strategic 1 ERROR clt x = -59*21 strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:30:51.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -59*21 strategic 2 OK mt -59*21 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:33:12.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 17 OK -1239 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:34:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -5y+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:34:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-6 = -5y+6-6 strategic 1 OK clt -5y+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:34:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7-6 = -5y strategic 1 OK clt 7-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session4 2005-09-22 13:35:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -5y strategic 1 ERROR mt 1 = -5y strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:26:12.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -8y-9 strategic 1 ERROR clt -3 = -8y-9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:26:17.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -8y-9 strategic 2 ERROR mt -3 = -8y-9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:26:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -8y-9 strategic 3 ERROR rds -3 = -8y-9 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:26:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -8y-9 strategic 4 ERROR add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:26:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -8y-9 strategic 5 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:27:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+9 = -8y-9+9 strategic 1 OK clt -8y-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:27:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+9 = -8y strategic 1 OK clt -3+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:27:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -8y strategic 1 BUG add 8 In -8y, y is multiplied by -8. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:28:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -8y strategic 2 BUG divide 8 In this equation, y is multiplied by -8. Dividing by 8 leaves -y, so you still need to remove the negative sign. It is better to divide by -8, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:30:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -8y strategic 3 BUG divide 8 In this equation, y is multiplied by -8. Dividing by 8 leaves -y, so you still need to remove the negative sign. It is better to divide by -8, since that would leave y. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:30:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -8y strategic 4 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:30:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-8 = -8y/-8 strategic 1 ERROR clt 6/-8 = -8y/-8 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:30:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-8 = -8y/-8 strategic 2 ERROR mt 6/-8 = -8y/-8 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:30:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-8 = -8y/-8 strategic 3 ERROR distribute 6/-8 = -8y/-8 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:31:56.0 HINT HINT ES_02 ES_02-5 EG40 6/-8 = -8y/-8 strategic 4 INITIAL_HINT default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:32:00.0 HINT HINT ES_02 ES_02-5 EG40 6/-8 = -8y/-8 strategic 5 NEXT_HINT Simplify fractions on both sides. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:32:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/-8 = -8y/-8 strategic 6 OK rf 6/-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:32:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/4 = -8y/-8 strategic 1 ERROR rds -3/4 = -8y/-8 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:32:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3/4 = -8y/-8 strategic 2 OK rf -8y/-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:33:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 6+2y strategic 1 ERROR clt 1 = 6+2y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:33:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 6+2y strategic 2 ERROR mt 1 = 6+2y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:34:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 6+2y strategic 3 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:34:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-6 = 6+2y-6 strategic 1 ERROR mt 1-6 = 6+2y-6 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:35:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = 6+2y strategic 4 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:35:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-6 = 6+2y-6 strategic 2 OK clt 6+2y-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:35:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-6 = 2y strategic 1 OK clt 1-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:36:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:36:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/2 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:37:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -8+10y strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:37:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4+8 = -8+10y+8 strategic 1 OK clt -8+10y+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:37:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4+8 = 10y strategic 1 OK clt 4+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:37:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12 = 10y strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:38:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 12/10 = 10y/10 strategic 1 OK rf 12/10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:38:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6/5 = 10y/10 strategic 1 OK rf 10y/10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:38:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 2y+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:38:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8-8 = 2y+8-8 strategic 1 OK clt -8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:38:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -16 = 2y+8-8 strategic 1 OK clt 2y+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:39:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -16 = 2y strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:39:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -16/2 = 2y/2 strategic 1 OK rf -16/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:39:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8 = 2y/2 strategic 1 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:39:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = -7+4y strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:40:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+7 = -7+4y+7 strategic 1 OK clt -9+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:40:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -7+4y+7 strategic 1 OK clt -7+4y+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:40:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = 4y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:40:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/4 = 4y/4 strategic 1 OK rf -2/4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:40:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/2 = 4y/4 strategic 1 OK rf 4y/4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:41:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x = 2 strategic 1 BUG add -3 To remove -3 from the left side, you can add a positive to it. Erase your last step and add 3 to both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:41:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x = 2 strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:42:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x+3 = 2+3 strategic 1 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:42:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x+3 = 2+3 strategic 2 ERROR typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:44:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x+3 = 2+3 strategic 3 ERROR typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:44:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x+3 = 2+3 strategic 4 ERROR typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:48:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+8x+3 = 2+3 strategic 5 OK typein 8x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:49:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x = 5 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:49:20.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 5/8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session5 2005-09-23 12:49:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x/8 = 5/8 strategic 2 ERROR typein 5.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:20:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6 = 0 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:20:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6+6 = 0+6 strategic 1 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:20:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6+6 = 0+6 strategic 2 BUG typein 3x You forgot the negative sign. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:20:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-6+6 = 0+6 strategic 3 OK typein -3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:21:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x = 6 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:21:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x/-3 = 6/-3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:21:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x/-3 = 6/-3 strategic 2 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:22:13.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1 = -5y+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:22:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-7 = -5y+7-7 strategic 1 OK typein -5y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:22:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1-7 = -5y+7-7 strategic 2 OK typein -8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:23:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8 = -5y strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:24:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/-5 = -5y/-5 strategic 1 OK typein 1.6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:24:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8/-5 = -5y/-5 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:27:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5 = 6+y/4 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:27:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5-6 = 6+y/4-6 strategic 1 OK clt 6+y/4-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:28:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -5-6 = y/4 strategic 1 OK clt -5-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:29:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11 = y/4 strategic 1 ERROR mt -11 = y/4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:29:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11 = y/4 strategic 2 ERROR divide 11 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:29:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11 = y/4 strategic 3 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:30:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*4 = y/4*4 strategic 1 ERROR clt -11*4 = y/4*4 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:30:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*4 = y/4*4 strategic 2 ERROR divide 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:30:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*4 = y/4*4 strategic 3 ERROR divide 4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:31:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*4 = y/4*4 strategic 4 ERROR divide -11 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:35:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*4 = y/4*4 strategic 5 OK mt y/4*4 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:35:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -11*4 = y strategic 1 OK mt -11*4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:36:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = x/-8-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:36:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+5 = x/-8-5+5 strategic 1 OK clt x/-8-5+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:36:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3+5 = x/-8 strategic 1 OK clt 3+5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:36:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/-8 strategic 1 ERROR mt 8 = x/-8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:37:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/-8 strategic 2 BUG divide -8 To remove the coefficient of x/-8, you need to divide by 1/-8 or multiply by -8. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:38:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = x/-8 strategic 3 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:39:08.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-8 = x/-8*-8 strategic 1 OK mt x/-8*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:39:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-8 = x strategic 1 OK mt 8*-8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:39:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = x/-8+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:39:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-6 = x/-8+6-6 strategic 1 OK clt x/-8+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:40:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-6 = x/-8 strategic 1 OK clt 2-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:40:29.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/-8 strategic 1 ERROR mt -4 = x/-8 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:40:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/-8 strategic 2 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:41:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-8 = x/-8*-8 strategic 1 OK mt x/-8*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:41:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-8 = x strategic 1 OK mt -4*-8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:42:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = 2+(x/-6) strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:43:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8-2 = 2+(x/-6)-2 strategic 1 OK clt 8-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:43:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = 2+(x/-6)-2 strategic 1 OK clt 2+(x/-6)-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:43:39.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6 = x/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:43:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 6*-6 = x/-6*-6 strategic 1 OK mt 6*-6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:44:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -36 = x/-6*-6 strategic 1 OK mt x/-6*-6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:45:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = -8+y/6 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:45:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+8 = -8+y/6+8 strategic 1 OK clt -8+y/6+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:45:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+8 = y/6 strategic 1 OK clt 2+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:45:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10 = y/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:45:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*6 = y/6*6 strategic 1 OK mt y/6*6 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:45:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 10*6 = y strategic 1 OK mt 10*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:47:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = y/2+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:47:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6-2 = y/2+2-2 strategic 1 OK clt -6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:47:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = y/2+2-2 strategic 1 OK clt y/2+2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:47:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = y/2 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:48:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*2 = y/2*2 strategic 1 OK mt y/2*2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:48:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*2 = y strategic 1 OK mt -8*2 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:49:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = -9+x/9 strategic 1 BUG subtract 9 Focus on the side of the equation with the variable. The variable is on the right side. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:50:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = -9+x/9 strategic 2 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:50:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+9 = -9+x/9+9 strategic 1 OK typein x/9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:51:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+9 = -9+x/9+9 strategic 2 OK typein 18 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:52:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18 = x/9 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:52:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*9 = x/9*9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session6 2005-09-28 12:52:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 18*9 = x/9*9 strategic 2 OK typein 162 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:15:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = 1+y/7 strategic 1 BUG subtract -1 To remove 1 from the right side, you can subtract a positive from it. Erase your last step and subtract 1 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:18:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = 1+y/7 strategic 2 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:18:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-1 = 1+y/7-1 strategic 1 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:18:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-1 = 1+y/7-1 strategic 2 OK typein y/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:19:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = y/7 strategic 1 ERROR mt 5 = y/7 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:19:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = y/7 strategic 2 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:19:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*7 = y/7*7 strategic 1 OK typein 35 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:19:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*7 = y/7*7 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:20:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7+2 = -5 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:20:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7+2-2 = -5-2 strategic 1 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:20:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7+2-2 = -5-2 strategic 2 OK typein y/7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:20:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7 = -7 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:20:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7*7 = -7*7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:21:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/7*7 = -7*7 strategic 2 OK typein -49 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -10/x strategic 1 BUG multiply -10 To remove the coefficient of -10/x, you need to divide. Erase your last step and then divide both sides by -10. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -10/x strategic 2 ERROR divide -10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -10/x strategic 3 BUG divide 10 In this equation, x is multiplied by -10. Dividing by 10 leaves -x, so you still need to remove the negative sign. It is better to divide by -10, since that would leave x. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:42.0 HINT HINT ES_02 ES_02-9 EG44 -1 = -10/x strategic 4 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:44.0 HINT HINT ES_02 ES_02-9 EG44 -1 = -10/x strategic 5 NEXT_HINT -10/x is -10 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:48.0 HINT HINT ES_02 ES_02-9 EG44 -1 = -10/x strategic 6 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -10/x strategic 7 ERROR divide x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:22:56.0 HINT HINT ES_02 ES_02-9 EG44 -1 = -10/x strategic 8 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:23:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -10/x strategic 9 ERROR divide -x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:23:03.0 HINT HINT ES_02 ES_02-9 EG44 -1 = -10/x strategic 10 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:23:04.0 HINT HINT ES_02 ES_02-9 EG44 -1 = -10/x strategic 11 NEXT_HINT -10/x is -10 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:23:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = -10/x strategic 12 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:23:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x = -10/x*x strategic 1 OK mt -10/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:23:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x = -10 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:24:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x/-1 = -10/-1 strategic 1 ERROR distribute -1x/-1 = -10/-1 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:25:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x/-1 = -10/-1 strategic 2 ERROR multiply -10 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:25:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1x/-1 = -10/-1 strategic 3 OK rf -1x/-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:26:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = -10/-1 strategic 1 OK rf -10/-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:26:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x = -1 strategic 1 OK multiply -x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:27:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 (-6/x)*(x/-1) = -1x/-1 strategic 1 ERROR distribute (-6/x)*(x/-1) = -1x/-1 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:27:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 (-6/x)*(x/-1) = -1x/-1 strategic 2 ERROR clt (-6/x)*(x/-1) = -1x/-1 strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:28:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 (-6/x)*(x/-1) = -1x/-1 strategic 3 OK mt (-6/x)*(x/-1) default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:28:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/-1 = -1x/-1 strategic 1 OK rf -6/-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:28:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = -1x/-1 strategic 1 OK rf -1x/-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:29:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x = 7 strategic 1 ERROR rf 9/x = 7 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:30:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x = 7 strategic 2 BUG multiply 9 To remove the coefficient of 9/x, you need to divide. Erase your last step and then divide both sides by 9. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:30:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x = 7 strategic 3 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:31:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/x*x = 7x strategic 1 OK mt 9/x*x default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:31:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:32:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/7 = 7x/7 strategic 1 OK rf 7x/7 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:33:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -1 strategic 1 ERROR mt 7/y = -1 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:33:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -1 strategic 2 ERROR multiply 1 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:34:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -1 strategic 3 BUG multiply -1 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:36:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -1 strategic 4 ERROR multiply 1 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:37:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -1 strategic 5 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:37:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y*y = -1y strategic 1 OK mt 7/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:37:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = -1y strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:37:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/-1 = -1y/-1 strategic 1 OK rf 7/-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:38:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7 = -1y/-1 strategic 1 OK rf -1y/-1 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:39:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 7/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:39:16.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y = 7/y*y strategic 1 ERROR rf 8y = 7/y*y strategic default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:39:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y = 7/y*y strategic 2 BUG multiply 8 To remove the coefficient of 8y, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:39:47.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y = 7/y*y strategic 3 OK mt 7/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:40:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y = 7 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:40:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y/8 = 7/8 strategic 1 OK rf 8y/8 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:42:01.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/y = 3 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:42:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/y*y = 3y strategic 1 OK mt 6/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:43:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:45:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:45:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 6/3 = y strategic 1 OK rf 6/3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:47:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -8/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:48:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5y = -8/y*y strategic 1 OK mt -8/y*y default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:48:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5y = -8 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:48:20.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5y/5 = -8/5 strategic 1 OK rf 5y/5 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:48:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x = -2 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:49:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x*x = -2x strategic 1 OK typein 7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:49:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/x*x = -2x strategic 2 OK typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:50:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = -2x strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:50:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-2 = -2x/-2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:51:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-2 = -2x/-2 strategic 2 ERROR typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session7 2005-09-30 12:51:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7/-2 = -2x/-2 strategic 3 ERROR typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:32:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 1 strategic 1 ERROR divide 10 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:33:00.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 1 strategic 2 ERROR mt 10/y = 1 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 1 strategic 3 BUG multiply 10 To remove the coefficient of 10/y, you need to divide. Erase your last step and then divide both sides by 10. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 1 strategic 4 ERROR rf 10/y = 1 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:30.0 HINT HINT ES_02 ES_02-10 EG44 10/y = 1 strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:32.0 HINT HINT ES_02 ES_02-10 EG44 10/y = 1 strategic 6 NEXT_HINT 10/y is 10 divided by y. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:36.0 HINT HINT ES_02 ES_02-10 EG44 10/y = 1 strategic 7 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 1 strategic 8 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:34:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y*y = 1y strategic 1 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:35:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y*y = 1y strategic 2 OK typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:35:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10 = 1y strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:35:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/1 = 1y/1 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:35:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/1 = 1y/1 strategic 2 ERROR typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:35:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/1 = 1y/1 strategic 3 OK typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:36:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -10/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:36:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 1 ERROR typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:36:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 2 ERROR typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:36:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 3 ERROR typein -4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:37:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 4 ERROR typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:37:11.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 5 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:37:14.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 6 NEXT_HINT Type in -2x on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:37:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 7 OK typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:37:40.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 8 BUG typein 10 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:37:48.0 HINT HINT ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 9 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:38:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 10 BUG typein 10 You are multiplying a negative by a positive. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:38:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10/x*x strategic 11 OK typein -10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:38:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x = -10 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:38:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -10/-2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:38:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2x/-2 = -10/-2 strategic 2 OK typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:39:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/x = 7 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:39:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/x*x = 7x strategic 1 OK typein 7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:39:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/x*x = 7x strategic 2 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:40:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = 7x strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:40:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/7 = 7x/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:40:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/7 = 7x/7 strategic 2 ERROR typein 1.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:40:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/7 = 7x/7 strategic 3 ERROR typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:40:52.0 HINT HINT ES_02 ES_02-10 EG44 6/7 = 7x/7 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:40:56.0 HINT HINT ES_02 ES_02-10 EG44 6/7 = 7x/7 strategic 5 NEXT_HINT Type in 6/7 on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:41:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/7 = 7x/7 strategic 6 OK typein 6/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:42:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = 2/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:42:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2/y*y strategic 1 OK typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:42:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2/y*y strategic 2 OK typein 3y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:42:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2 strategic 1 ERROR divide 2/3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:43:13.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2 strategic 2 ERROR divide 3/2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:43:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y = 2 strategic 3 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:43:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE l8kuAhlIWI session8 2005-10-03 13:43:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3y/3 = 2/3 strategic 2 OK typein 2/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 6--Algebra I Part 2 TE mNzo8mGzu9 session7 2005-10-07 08:18:21.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK the time spent taking scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:18:27.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:18:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:18:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:18:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 BUG 30 30
You entered 30 in the wrong row. BUG default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:19:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:19:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:19:33.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:19:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:19:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 2 OK h default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:20:22.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 30*25.50+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:20:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C2 1 OK 50*25.50+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:20:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50h+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 BUG 192.75-90.75/25.50 192.75-90.75/25.50
Use parentheses. Type (192.75 - 90.75)/ 25.5 as (192.75 - 90.75)/ 25.5 BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:22:37.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG (192.75-90.75)=x (192.75-90.75)=x
Please check to make sure that (192.75-90.75)=x is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:23:53.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:24:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:25:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR (192.75-90.75) = x strategic 1 OK clt 192.75-90.75 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:25:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK the amouunt of carpet default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:26:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 BUG square feet square feet
SQUARE FEET is a unit of area, but it is not the most appropriate one for this problem. What other units measure area? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:26:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 2 OK square yard default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:26:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK total cost default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:26:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:26:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK y default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:26:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:27:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:27:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 OK 1036 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:27:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C2 1 OK 12.95*12 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:27:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C2 1 OK 12.95*40.5 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:28:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95y default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:28:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 1 OK 388.5/12.95=y default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:28:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 2 OK 388.5/12.95=Y default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:28:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 388.5/12.95 = Y strategic 1 BUG clt 388.5/12.95 = Y strategic You already solved the equation. Y is 388.5/12.95. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:29:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 388.5/12.95 = Y strategic 2 OK rf 388.5/12.95 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:29:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:29:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 3 OK 1036/12.95=y default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:29:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 ValidEquations 4 OK 1036/12.95=Y default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:30:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 1036/12.95 = Y strategic 1 OK rf 1036/12.95 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:30:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:31:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C1 1 OK the amount of money spent on long distance default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:31:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R1C2 1 OK total number of points default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:31:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C1 1 OK d default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:32:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R4C1 1 OK 45.00 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:32:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 1 BUG d*5 d*5
Total number of travel points increases by 5 each dollar, but remember that it starts at 5000 points. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:32:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R3C2 2 OK 5d+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:32:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R5C1 1 OK 27.50*12 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:33:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C2 1 OK 46000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:33:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 1 BUG 46000-5000=y 46000-5000=y
Please check to make sure that 46000-5000=y is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:34:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 46000-5000 = y strategic 1 OK clt 46000-5000 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:34:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 2 BUG 41000/5=y 41000/5=y
Please check to make sure that 41000/5=y is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:34:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 41000/5 = y strategic 1 OK rf 41000/5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:34:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:35:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C2 1 OK 27000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:35:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 ValidEquations 3 BUG (27000-5000)/5=y (27000-5000)/5=y
Please check to make sure that (27000-5000)/5=y is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:35:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 (27000-5000)/5 = y strategic 1 OK clt 27000-5000 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 22000/5 = y strategic 1 OK rf 22000/5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:35:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13 R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:36:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK the area of construction default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:36:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK cost of construction default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:36:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:36:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK square foot default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:37:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK q default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 OK 39.50q default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:37:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:37:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 ERROR 150 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:37:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 2 OK 85+150 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:38:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 1 OK 177750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:38:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C2 1 OK 18762.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:38:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 1 OK 177750/39.5=q default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:38:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 2 OK 177750/39.5=Q default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:38:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 177750/39.5 = Q strategic 1 OK rf 177750/39.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:38:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 3 OK 18762.5/39.5=q default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A ValidEquations 4 OK 18762.5/39.5=Q default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:39:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A 18762.5/39.5 = Q strategic 1 OK rf 18762.5/39.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:39:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 OK 475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:39:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK the time from now default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:40:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:40:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance the jet has flown default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:40:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:40:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK n default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:40:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 OK 1300n+775 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 ERROR 1hr 45 min default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:41:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 2 OK 1.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 ERROR .30 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:41:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 2 OK .5 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:42:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C2 1 OK 3500/2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:42:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 OK (1750-775)/1300 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:43:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 OK (3500-775)/1300 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:44:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C1 1 OK the number of students enrolled in algebra default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:44:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R1C2 1 OK the number of students recieving an A or B default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:44:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C1 1 OK s default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:45:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 1 ERROR s/.12 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C1 1 OK 175 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C2 1 ERROR 175/.12 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:45:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R4C2 2 OK 175*.12 default_condition Find Y, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R3C2 2 OK .12s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session7 2005-10-07 08:45:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R5C1 1 OK 400 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:32:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R6C1 1 OK 12/.12 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:32:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01C R7C1 1 OK 75/.12 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:33:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C1 1 OK number of people default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C2 1 OK cost of cake default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C1 1 OK p default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C2 1 OK 1.35p default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C2 1 OK 54 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C1 1 OK 54/1.35 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C2 1 OK 70.20 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:34:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C1 1 OK 70.20/1.35 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK number of snow cones we sell default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK profit default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:35:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:35:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK s default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:35:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 BUG .50s .50s
The profit increases by 0.5 each snow cone, but remember that it starts at -50 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:36:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:36:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 2 OK -50+.50s default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:36:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:36:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:37:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 BUG 300/0.5=n 300/0.5=n
Please check to make sure that 300/0.5=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:37:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 300/0.5 = n strategic 1 OK rf 300/0.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:37:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 BUG 600-50 600-50
Subtract the initial value, -50, from the total amount 300 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:38:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 BUG (300-50)/0.5=n (300-50)/0.5=n
Please check to make sure that (300-50)/0.5=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:38:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 (300-50)/0.5 = n strategic 1 OK clt 300-50 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:38:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 250/0.5 = n strategic 1 OK rf 250/0.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:38:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 2 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:38:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 3 ERROR 500 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:44:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:45:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 3 BUG (153.5-50)/0.5=s (153.5-50)/0.5=s
Please check to make sure that (153.5-50)/0.5=s is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:45:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 (153.5-50)/0.5 = s strategic 1 ERROR mt (153.5-50)/0.5 = s strategic default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:45:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 (153.5-50)/0.5 = s strategic 2 OK clt 153.5-50 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 103.5/0.5 = s strategic 1 OK rf 103.5/0.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:45:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 ERROR 207 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:45:45.0 HINT HINT CTA1_04 CTA1_04-3 BH1T41 R7C1 2 INITIAL_HINT 207 153.5 dollars is the given output value in this question, because it depends on the number of snow cones we sell. What value of the number of snow cones we sell does it take to output 153.5 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:46:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 4 BUG (153.5-50)/0.5=s (153.5-50)/0.5=s
Please check to make sure that (153.5-50)/0.5=s is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:46:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 (153.5-50)/0.5 = s strategic 3 OK clt 153.5-50 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:46:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 103.5/0.5 = s strategic 2 OK rf 103.5/0.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 (153.5-50)/0.5 = s strategic 4 OK rf (153.5-50)/0.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:46:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 2(153.5-50) = s strategic 1 OK distribute 2(153.5-50) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:46:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 (153.5-50)/0.5 = s strategic 5 OK clt 153.5-50 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:47:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 103.5/0.5 = s strategic 3 OK rf 103.5/0.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:49:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 6 OK -50+0.5S=300 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:49:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 5 OK -50+0.5s=300 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:49:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 300 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S = 350 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 4 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 8 OK -50+0.5S=153.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 7 OK -50+0.5s=153.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 -50+0.5S = 153.5 strategic 1 OK add 50 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5S = 203.5 strategic 1 OK divide .5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 3 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:51:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C1 1 OK length of mobil telephone call default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:51:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:51:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R1C2 1 OK total cost of call default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:51:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:51:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C1 1 OK m default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R3C2 1 OK 2.50+1.25m default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R4C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R5C1 1 OK 5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 1 ERROR 25.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C2 2 OK 22.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C2 1 OK 57.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 1 OK 2.5+1.25m=22.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 2 OK 2.5+1.25M=22.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 2.5+1.25M = 22.5 strategic 1 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25M = 20 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R6C1 1 OK 16 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 3 OK 2.5+1.25m=57.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 ValidEquations 4 OK 2.5+1.25M=57.5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 2.5+1.25M = 57.5 strategic 1 OK subtract 2.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 1.25M = 55 strategic 1 OK divide 1.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:53:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01 R7C1 1 OK 44 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:54:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK the cost of the items default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of order default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:55:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:55:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK d default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:55:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR 25+.25d default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:55:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:56:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 ERROR 25+d*.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:56:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 ERROR 25+d*.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:56:20.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 INITIAL_HINT 25+d*.25 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:56:26.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session8 2005-10-14 08:56:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C2 1 ERROR 25+500*.25 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:17:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:18:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR 25+.25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:18:37.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 INITIAL_HINT 25+.25 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:18:43.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 INITIAL_HINT 25+.25 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:18:46.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:19:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 ERROR 25+d-25% default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:20:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 OK .75d+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:21:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:21:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:21:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 ERROR 231 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:22:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 BUG 231.25/0.75-25=n 231.25/0.75-25=n
Please check to make sure that 231.25/0.75-25=n is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:23:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 231.25/0.75-25 = n strategic 1 OK rf 231.25/0.75 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:23:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 308.33333333-25 = n strategic 1 OK clt 308.33333333-25 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:24:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 BUG (231.25-25)/0.25=m (231.25-25)/0.25=m
Please check to make sure that (231.25-25)/0.25=m is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:24:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C (231.25-25)/0.25 = m strategic 1 OK clt 231.25-25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:25:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 206.25/0.25 = m strategic 1 OK rf 206.25/0.25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:25:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 2 ERROR 825 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:25:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C (231.25-25)/0.25 = m strategic 2 OK rf (231.25-25)/0.25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:25:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 4(231.25-25) = m strategic 1 OK distribute 4(231.25-25) default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C (231.25-25)/0.25 = m strategic 3 OK rf (231.25-25)/0.25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:26:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C (231.25-25)/0.25 = m strategic 4 OK clt 231.25-25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:26:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 206.25/0.25 = m strategic 2 OK rf 206.25/0.25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:26:54.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R6C1 3 INITIAL_HINT 825 231.25 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 231.25 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:27:10.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R6C1 4 NEXT_HINT You know that the expression 0.75D + 25 represents the total cost of the order. What value of the cost of the items will make the general expression 0.75D + 25 output the given value of 231.25 dollars? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:27:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 4 OK 0.75D+25=231.25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:27:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK 0.75d+25=231.25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:27:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75D+25 = 231.25 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:28:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75D = 206.25 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:28:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 5 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:28:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 5 OK 0.75D+25=250 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:28:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75D+25 = 250 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:28:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75D = 225 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:28:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:29:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK cellular phone time used next month default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:29:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:29:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK m default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:30:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 BUG the balance on next monthe bill the balance on next monthe bill
Try balance on the next bill. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:30:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 2 OK the balance on next bill default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:30:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:33:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK 43*0.23-7.87=m default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:33:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 43*0.23-7.87 = m strategic 1 OK mt 43*0.23 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:34:00.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 9.89-7.87 = m strategic 1 OK clt 9.89-7.87 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:34:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C2 1 OK 2.02 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:34:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 BUG 43*.23-7.87 43*.23-7.87
You entered 2.02 in the wrong row. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:35:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 2 BUG 43*.23-7.87 43*.23-7.87
You entered 2.02 in the wrong row. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:35:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 3 BUG 43*0.23-7.87 43*0.23-7.87
You entered 2.02 in the wrong row. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:35:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:35:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK 100*0.23-7.87=m default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:35:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 100*0.23-7.87 = m strategic 1 OK mt 100*0.23 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:35:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 23-7.87 = m strategic 1 OK clt 23-7.87 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:36:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C2 1 OK 15.13 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:36:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 OK 38.13 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:37:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 3 OK m*0.23-7.87=38.13 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:37:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 4 OK M*0.23-7.87=38.13 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:37:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 5 OK 0.23m-7.87=38.13 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:37:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 6 OK 0.23M-7.87=38.13 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:37:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23M-7.87 = 38.13 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23M = 46 strategic 1 OK divide .23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 7 OK 0.23M-7.87=25 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23M-7.87 = 25 strategic 1 OK add 7.87 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23M = 32.87 strategic 1 OK divide .23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:38:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 BUG 142 142
142 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:39:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 2 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:40:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 4 OK .23m-7.87 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:40:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 1 OK the number of hours from now default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:40:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:40:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C1 1 OK h default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:41:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 1 OK temperature of liquid default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:41:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 1 OK degrees celsius default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 1 BUG -28+3.5h -28+3.5h
Does the temperature of the liquid go up or down when the number of hours from now increases? BUG default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:42:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 2 OK -28-3.5h default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:42:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R4C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:42:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:43:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:43:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 1 OK -28-3.5h=0 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:43:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 2 OK -28-3.5H=0 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:43:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5H = 0 strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:44:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5H = 28 strategic 1 BUG divide 3.5 In this equation, H is multiplied by -3.5. Dividing by 3.5 leaves -H, so you still need to remove the negative sign. It is better to divide by -3.5, since that would leave H. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:44:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5H = 28 strategic 2 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:44:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:44:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 1 OK -84 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:44:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 3 OK -28-3.5H=-84 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:44:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -28-3.5H = -84 strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:45:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5H = -56 strategic 1 ERROR divide -305 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:45:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -3.5H = -56 strategic 2 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C1 1 OK 16 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:46:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:46:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 OK months default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:46:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK g default_condition Define Variable hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:46:29.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK the depth of the mine default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:46:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:46:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 BUG 1550-7g 1550-7g
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 OK -1550-7g default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:47:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 ERROR 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:47:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 ERROR 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:48:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 4 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:48:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 ERROR 247 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:48:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 2 OK 24 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:48:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:49:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:49:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:49:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7g=-1564 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:49:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 2 OK -1550-7G=-1564 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:49:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7G = -1564 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:50:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7G = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:50:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 3 OK -1550-7G=-0 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:50:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7G = -0 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:50:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7G = 1550 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:51:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7G = 1550 strategic 2 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:51:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 G = -1550/7 strategic 1 BUG rf G = -1550/7 strategic You already solved the equation. G is -1550/7. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:51:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 OK -1550/7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:51:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 4 BUG 10*12=m 10*12=m
Please check to make sure that 10*12=m is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:51:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 10*12 = m strategic 1 OK mt 10*12 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:51:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 5 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:52:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 6 OK -120 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:53:01.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK subtract -3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:53:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3-(-3) = 5-(-3) strategic 1 OK clt 2y-3-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:53:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5-(-3) strategic 1 OK clt 5-(-3) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:53:22.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:53:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:53:39.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:54:02.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (1-8)*-8 strategic 1 OK clt 1-8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:54:09.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -7*-8 strategic 1 OK mt -7*-8 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:54:26.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5(1+2) strategic 1 OK distribute -5(1+2) default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:54:33.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5*1-5*2 strategic 1 OK mt -5*1 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:54:37.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5-5*2 strategic 1 OK mt 5*2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:54:47.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -5-10 strategic 1 OK clt -5-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:00.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-8*-8 strategic 1 OK mt 8*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:04.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-64) strategic 1 ERROR mt -5-(-64) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:14.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-64) strategic 2 BUG multiply -1 Since this problem is not an equation, transformations are not applicable. BUG default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:36.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-64) strategic 3 ERROR mt -5-(-64) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:42.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-64) strategic 4 OK clt -5-(-64) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:55.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3+0*-9 strategic 1 OK mt 0*-9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:55:58.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3+0 strategic 1 OK clt -3+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:08.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (9-9)*-10 strategic 1 ERROR mt (9-9)*-10 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:14.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (9-9)*-10 strategic 2 OK clt 9-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:18.0 CYCLE CYCLE ES_02 ES_02-1 EG30 0*-10 strategic 1 OK mt 0*-10 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:27.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-9-3) strategic 1 OK clt -9-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:31.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4*-12 strategic 1 OK mt -4*-12 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:40.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-4+1)*-10 strategic 1 OK clt -4+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:43.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -3*-10 strategic 1 OK mt -3*-10 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:50.0 CYCLE CYCLE ES_02 ES_02-1 EG28 6+2*-9 strategic 1 OK mt 2*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session9 2005-10-19 08:56:54.0 CYCLE CYCLE ES_02 ES_02-1 EG28 6+(-18) strategic 1 OK clt 6+(-18) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:19:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-4-2) strategic 1 OK clt -4-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -2(-8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -2(8) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:20:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-4-2) strategic 2 OK clt -4-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:21:03.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 OK -2(-6) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:21:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2*-6 strategic 1 OK mt -2*-6 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:21:30.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 OK 12 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:21:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6+9)*6 strategic 1 OK clt -6+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:21:47.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 3*6 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:21:55.0 CYCLE CYCLE ES_02 ES_02-2 EG30 3*6 strategic 1 OK mt 3*6 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:22:07.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:22:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 18 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:22:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-8*0 strategic 1 OK mt 8*0 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:22:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -4*0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:00.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-8*0 strategic 2 OK mt 8*0 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -4-0 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -4-0 strategic 1 OK clt -4-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:13.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -4 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-9*10 strategic 1 OK mt 9*10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:29.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -1*90 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -1-90 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:23:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -1-90 strategic 1 OK clt -1-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:00.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -91 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4+9*-10 strategic 1 OK mt 9*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -4+(-90) default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -4-90 strategic 1 OK clt -4-90 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -94 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (2-6)*-4 strategic 1 ERROR rds (2-6)*-4 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:24:58.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (2-6)*-4 strategic 2 OK clt 2-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:25:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -4*(-4) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:25:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -4*-4 strategic 1 OK mt -4*-4 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:25:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 16 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:25:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9(8-4) strategic 1 OK clt 8-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:25:56.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 9*4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:26:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 9*4 strategic 1 OK mt 9*4 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:26:09.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 36 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:26:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+9*-1 strategic 1 OK mt 9*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:26:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -6+-9 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:26:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-9 strategic 1 OK clt -6-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:26:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -15 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:27:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6-10)*-6 strategic 1 OK clt -6-10 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:27:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -16*-6 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:27:43.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -16*-6 strategic 1 OK mt -16*-6 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:27:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 96 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:01.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+10*3 strategic 1 OK mt 10*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -3+30 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:10.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -3+30 strategic 1 OK clt -3+30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:18.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 27 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:33.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -12(-18-12) strategic 1 OK clt -18-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:37.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = -12*-30 strategic 1 OK mt -12*-30 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:45.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = (-11-19)*-12 strategic 1 OK clt -11-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:28:50.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = -30*-12 strategic 1 OK mt -30*-12 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:01.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -49*6-13 strategic 1 OK mt -49*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:05.0 CYCLE CYCLE ES_02 ES_02-3 EG33B y = -294-13 strategic 1 OK clt -294-13 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:18.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -40-20*-5 strategic 1 OK mt 20*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:23.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -40-(-100) strategic 1 OK clt -40-(-100) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:34.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -17(18-39) = x strategic 1 OK clt 18-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:37.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -17*-21 = x strategic 1 OK mt -17*-21 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:29:55.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -27-2*-29 = y strategic 1 OK mt 2*-29 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:30:04.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -27-(-58) = y strategic 1 ERROR mt -27-(-58) = y strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:30:09.0 CYCLE CYCLE ES_02 ES_02-3 EG32B -27-(-58) = y strategic 2 OK clt -27-(-58) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:30:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-6-5)*-5 strategic 1 OK clt -6-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:02.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -11*(-5) default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -11*-5 strategic 1 OK mt -11*-5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:13.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 55 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:26.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -26(43-37) = x strategic 1 OK clt 43-37 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -26*6 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -26*6 = x strategic 1 OK mt -26*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:31:52.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 ERROR 156 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:32:10.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 ERROR -156. default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:32:11.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 4 ERROR -156. default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:32:14.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 5 OK -156 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:32:27.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-28-42)*-15 strategic 1 OK clt -28-42 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:32:46.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -70*-15 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -70*-15 strategic 1 OK mt -70*-15 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 1050 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y+6 = -8 strategic 1 BUG subtract -6 To remove 6 from the left side, you can subtract a positive from it. Erase your last step and subtract 6 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y+6 = -8 strategic 2 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y+6-6 = -8-6 strategic 1 OK clt 9y+6-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y = -8-6 strategic 1 OK clt -8-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:33:57.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y = -14 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:34:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 9y/9 = -14/9 strategic 1 OK rf 9y/9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:34:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -14/9 strategic 1 BUG rf y = -14/9 strategic You already solved the equation. y is -14/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:34:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -14/9 strategic 2 BUG clt y = -14/9 strategic You already solved the equation. y is -14/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:34:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1 = -1y+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:34:37.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-6 = -1y+6-6 strategic 1 OK clt -1y+6-6 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:34:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1-6 = -1y strategic 1 OK clt 1-6 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -1y strategic 1 BUG divide 1 In this equation, y is multiplied by -1. Dividing by 1 leaves -y, so you still need to remove the negative sign. It is better to divide by -1, since that would leave y. BUG default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -1y strategic 2 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-1 = -1y/-1 strategic 1 OK rf -5/-1 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -1y/-1 strategic 1 OK rf -1y/-1 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+2y = -3 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+2y+9 = -3+9 strategic 1 OK clt -3+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:35:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9+2y+9 = 6 strategic 1 OK clt -9+2y+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:36:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y = 6 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:36:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y/2 = 6/2 strategic 1 OK rf 6/2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:36:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2y/2 = 3 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:36:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+4x = -7 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:36:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+4x-5 = -7-5 strategic 1 OK clt -7-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:36:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+4x-5 = -12 strategic 1 ERROR mt 5+4x-5 = -12 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:37:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+4x-5 = -12 strategic 2 OK clt 5+4x-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:37:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x = -12 strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:37:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -12/4 strategic 1 OK rf -12/4 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:37:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4x/4 = -3 strategic 1 OK rf 4x/4 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:37:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8x = -10 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:37:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8x-9 = -10-9 strategic 1 OK typein -19 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:38:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-8x-9 = -10-9 strategic 2 OK typein -8X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:38:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8X = -19 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:38:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8X/-8 = -19/-8 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:38:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8X/-8 = -19/-8 strategic 2 OK typein 2.375 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:39:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+2 = -4 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:39:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+2-2 = -4-2 strategic 1 OK typein 8X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:39:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8x+2-2 = -4-2 strategic 2 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:39:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X = -6 strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:39:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X/8 = -6/8 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:40:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8X/8 = -6/8 strategic 2 OK typein -.75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:41:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x+3 = -8 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:41:15.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x+3-3 = -8-3 strategic 1 OK typein -1X default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:41:27.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1x+3-3 = -8-3 strategic 2 OK typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:41:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1X = -11 strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:41:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1X/-1 = -11/-1 strategic 1 OK typein X default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:41:45.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -1X/-1 = -11/-1 strategic 2 OK typein 11 default_condition [SkillRule: Calculate negative coefficient; [Typein Skill: Make variable positive]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9-4 = -9 strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9-4+4 = -9+4 strategic 1 OK clt -9+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9-4+4 = -5 strategic 1 OK clt x/9-4+4 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9 = -5 strategic 1 OK multiply 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9*9 = -5*9 strategic 1 ERROR clt x/9*9 = -5*9 strategic default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9*9 = -5*9 strategic 2 OK mt -5*9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:42:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/9*9 = -45 strategic 1 OK mt x/9*9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5 = -10+(y/-6) strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 5+10 = -10+(y/-6)+10 strategic 1 OK clt 5+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:12.0 CYCLE CYCLE ES_02 ES_02-7 EG41 15 = -10+(y/-6)+10 strategic 1 OK clt -10+(y/-6)+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 15 = y/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 15*-6 = y/-6*-6 strategic 1 ERROR rf y/-6 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 15*-6 = y/-6*-6 strategic 2 OK mt 15*-6 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:36.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -90 = y/-6*-6 strategic 1 OK mt y/-6*-6 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/-5-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:43:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+7 = y/-5-7+7 strategic 1 OK clt 1+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-5-7+7 strategic 1 OK clt y/-5-7+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8 = y/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 8*-5 = y/-5*-5 strategic 1 OK mt 8*-5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -40 = y/-5*-5 strategic 1 OK mt y/-5*-5 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-6) = 8 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-6)+2 = 8+2 strategic 1 OK typein Y/-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -2+(y/-6)+2 = 8+2 strategic 2 OK typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:44:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-6 = 10 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-6*-6 = 10*-6 strategic 1 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 Y/-6*-6 = 10*-6 strategic 2 OK typein -60 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = 9+(x/-4) strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-9 = 9+(x/-4)-9 strategic 1 OK typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1-9 = 9+(x/-4)-9 strategic 2 OK typein X/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = X/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-4 = X/-4*-4 strategic 1 OK typein 40 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:45:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-4 = X/-4*-4 strategic 2 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:46:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = y/-6+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:46:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-7 = y/-6+7-7 strategic 1 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:46:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-7 = y/-6+7-7 strategic 2 OK typein Y/-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:46:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = Y/-6 strategic 1 OK multiply -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:46:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-6 = Y/-6*-6 strategic 1 BUG typein 6 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:46:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-6 = Y/-6*-6 strategic 2 ERROR typein -66 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:47:02.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-6 = Y/-6*-6 strategic 3 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:47:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-6 = Y/-6*-6 strategic 4 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:47:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3-9 = -8 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:47:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3-9+9 = -8+9 strategic 1 OK typein X/3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:47:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3-9+9 = -8+9 strategic 2 BUG typein -1 The result should be positive. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/3-9+9 = -8+9 strategic 3 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/3 = 1 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/3*3 = 1*3 strategic 1 OK typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 X/3*3 = 1*3 strategic 2 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = y/4+4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:37.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10-4 = y/4+4-4 strategic 1 OK typein Y/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10-4 = y/4+4-4 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = Y/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*4 = Y/4*4 strategic 1 OK typein 24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:48:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6*4 = Y/4*4 strategic 2 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:49:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 8 strategic 1 BUG multiply -2 To remove the coefficient of -2/x, you need to divide. Erase your last step and then divide both sides by -2. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:53:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 8 strategic 2 ERROR divide -2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:55:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 8 strategic 3 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:55:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x*x = 8x strategic 1 OK mt -2/x*x default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session10 2005-10-21 08:56:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:22:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 1 BUG multiply -8 To remove the coefficient of -8/y, you need to divide. Erase your last step and then divide both sides by -8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:22:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 2 ERROR divide -8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:23:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/-8 = (-8/y)/-8 strategic 1 OK rf (-8/y)/-8 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:24:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 3 ERROR ivm -3 = -8/y strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:24:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 4 ERROR divide -8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:24:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/-8 = (-8/y)/-8 strategic 2 OK rf (-8/y)/-8 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:24:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 5 BUG divide 8 In this equation, y is multiplied by -8. Dividing by 8 leaves -y, so you still need to remove the negative sign. It is better to divide by -8, since that would leave y. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:25:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 6 ERROR divide -8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:25:29.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/-8 = (-8/y)/-8 strategic 3 ERROR clt -3/-8 = (-8/y)/-8 strategic default_condition [SkillRule: invert-mult; {ivm}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:25:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/-8 = (-8/y)/-8 strategic 4 OK rf -3/-8 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:26:02.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3/8 = (-8/y)/-8 strategic 1 OK rf (-8/y)/-8 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:26:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3 = -8/y strategic 7 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:26:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = -8/y*y strategic 1 ERROR rf -3y = -8/y*y strategic default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:26:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = -8/y*y strategic 2 ERROR rf -3y = -8/y*y strategic default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = -8/y*y strategic 3 ERROR clt -3y = -8/y*y strategic default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:07.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = -8/y*y strategic 4 ERROR ivm -3y = -8/y*y strategic default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:13.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = -8/y*y strategic 5 OK mt -8/y*y default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y = -8 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3y/-3 = -8/-3 strategic 1 OK rf -3y/-3 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -8/-3 strategic 1 OK rf -8/-3 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 8/3 strategic 1 BUG rf y = 8/3 strategic You already solved the equation. y is 8/3. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:27:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3 = 8/y strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 8/y*y strategic 1 OK mt 8/y*y default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y = 8 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 3y/3 = 8/3 strategic 1 OK rf 3y/3 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = 9/x strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = 9/x*x strategic 1 OK mt 9/x*x default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x = 9 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7x/7 = 9/7 strategic 1 OK rf 7x/7 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -9 strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = -9x strategic 1 OK mt 8/x*x default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:28:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-9 = -9x/-9 strategic 1 OK rf -9x/-9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:09.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-9 = x strategic 1 OK rf 8/-9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:24.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4 = 6/x strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:30.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x = 6/x*x strategic 1 OK typein -4X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x = 6/x*x strategic 2 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x = 6 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:44.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x/-4 = 6/-4 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:29:50.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -4x/-4 = 6/-4 strategic 2 OK typein 6/-4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:06.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/y = 6 strategic 1 OK multiply Y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/y*y = 6y strategic 1 OK typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/y*y = 6y strategic 2 OK typein 6Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:27.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = 6y strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/6 = 6y/6 strategic 1 OK typein 5/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5/6 = 6y/6 strategic 2 OK typein Y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:47.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = -6/x strategic 1 OK multiply X default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -6/x*x strategic 1 OK typein -9X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:30:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -6/x*x strategic 2 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:31:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x = -6 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:31:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x/-9 = -6/-9 strategic 1 OK typein X default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:31:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x/-9 = -6/-9 strategic 2 OK typein -6/-9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:31:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 X = -6/-9 strategic 1 OK rf -6/-9 default_condition hampton grwHb1u7Kx--1--Algebra mNzo8mGzu9 session11 2005-10-28 08:31:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 row3-N-constant factors strategic 1 BUG 6 6
Perhaps you should fill in the common factor between the numerator and denominator of [-6]/[-9]. BUG default_condition hampton grwHb1u7Kx--1--Algebra oEt3YTvS4G session15 2005-11-16 08:40:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:41:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:41:30.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:41:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:42:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK N default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:43:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK N*25.50+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:43:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:45:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:45:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:45:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:45:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 3 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:45:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 BUG 4 4
You entered 4 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:46:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:46:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 ERROR 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:51:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:54:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:54:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 OK squere yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session15 2005-11-16 08:54:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK total cost default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:26:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:27:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:27:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK M*12.95 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:27:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:28:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:29:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 OK 1036 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:30:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:32:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:32:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:33:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK amount of money spent default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:34:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:34:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:36:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 BUG M*1.00+5000 M*1.00+5000
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 2 BUG 5000+M*1 5000+M*1
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:37:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 3 BUG 5000+M*1.00 5000+M*1.00
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:37:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 4 BUG 5000+M*1.00 5000+M*1.00
Total number of travel points starts at 5000, but how much does it increase each dollar? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:37:53.0 HINT HINT CTA1_04 CTA1_04-2 REAL13C R3C2 5 INITIAL_HINT 5000+M*1.00 Enter an expression to calculate total number of travel points using the amount spent on long distance. HINT 1 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:38:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 6 OK 5000+M*5 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:39:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:39:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:40:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 OK 330.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:43:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 BUG 9200 9200
Subtract the initial value, 5000, from the amount spent on long distance first before you divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:44:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 2 BUG 9200.00 9200.00
Subtract the initial value, 5000, from the amount spent on long distance first before you divide by 5. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:44:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 3 OK 8200.00 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:45:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session16 2005-11-18 08:45:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 OK 4400.00 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:32:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 1 OK cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:33:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 1 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:33:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 1 OK S default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:35:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 1 OK S*43.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 1 OK 1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:36:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 1 ERROR 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:37:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 2 OK 255 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:37:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C2 1 OK 239250.00 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:37:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C2 1 OK 12049.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:40:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 1 ERROR 5500. default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:41:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B ValidEquations 1 OK S*43.5=239250 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:42:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B S*43.5 = 239250 strategic 1 OK divide 43.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:42:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 2 OK 5500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:43:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 1 OK 277 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:50:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK the time from now default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:51:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK total distance the jet has flown default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:51:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:51:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:53:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK N default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:53:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 OK 750+1250*N default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:53:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session17 2005-11-23 08:54:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 BUG 1.36 1.36
36 minutes is not .36 hours. BUG default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:21:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 ERROR 136 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:27:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 OK 1+36/60 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:36:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 BUG 1750 1750
You entered 1,750 in the wrong column. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:36:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 OK 1750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:37:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 ERROR 250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:42:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 BUG 750+1250N=M 750+1250N=M
Please check to make sure that 750+1250N=M is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:43:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 BUG 750+1250=N 750+1250=N
Please check to make sure that 750+1250=N is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:44:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 3 ERROR 1.3 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:44:10.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 4 INITIAL_HINT 1.3 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:44:23.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 5 NEXT_HINT You know that the expression 1250N + 750 represents the total distance it has flown. What value of the time will make the general expression 1250N + 750 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:45:21.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 6 NEXT_HINT Since the general expression for the total distance it has flown is 1250N + 750 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:45:45.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 7 NEXT_HINT Solve the equation 1250N + 750 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:46:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 3 BUG 750N+1250=1750 750N+1250=1750
Please check to make sure that 750N+1250=1750 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:46:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 750N+1250 = 1750 strategic 1 OK divide 750 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:48:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+5/3 = 7/3 strategic 1 ERROR rf N+5/3 = 7/3 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:48:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+5/3 = 7/3 strategic 2 ERROR clt N+5/3 = 7/3 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:48:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+5/3 = 7/3 strategic 3 OK subtract 5/3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:49:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 8 BUG 2/3 2/3
What is the y-intercept and what is the slope in this equation 1250 or 750? Which number do you need to divide by when you unwind? BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:49:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N = 2/3 strategic 1 BUG rf N = 2/3 strategic You already solved the equation. N is 2/3. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:50:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 9 ERROR .75 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 10 ERROR .75 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:50:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 11 ERROR 0.75 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:50:13.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 12 INITIAL_HINT 0.75 Solve the equation 1250N + 750 = 1750. HINT 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:54:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 13 ERROR 2/ default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session18 2005-11-30 08:54:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 14 ERROR 2/ default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:42:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 ERROR 5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:42:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 2 ERROR 6 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:42:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 3 ERROR 7 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:42:52.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 4 INITIAL_HINT 7 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:45:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 5 ERROR 4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:45:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 6 ERROR 4.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:46:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 7 ERROR 5.5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:46:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 8 INITIAL_HINT 5.5 3500 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 3500 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:46:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 9 NEXT_HINT You know that the expression 1250N + 750 represents the total distance it has flown. What value of the time will make the general expression 1250N + 750 output the given value of 3500 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:46:44.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 10 NEXT_HINT Since the general expression for the total distance it has flown is 1250N + 750 and since the total distance it has flown in this question is 3500, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:47:18.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R7C1 11 NEXT_HINT Solve the equation 1250N + 750 = 3500. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:47:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250N+750=3500 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:48:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250N+750 = 3500 strategic 1 ERROR clt 1250N+750 = 3500 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:48:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250N+750 = 3500 strategic 2 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:48:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+3/5 = 14/5 strategic 1 ERROR rf N+3/5 = 14/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+3/5 = 14/5 strategic 2 OK subtract 3/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:49:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N = 11/5 strategic 1 BUG rf N = 11/5 strategic You already solved the equation. N is 11/5. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:49:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 12 OK 11/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:49:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 BUG 1 1
1 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:54:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 2 OK 1250N+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session19 2005-12-02 08:54:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250N+750 = 1750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:17:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 ERROR 750-1250N default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:17:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 2 ERROR 750-1250N default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:17:55.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 3 INITIAL_HINT 750-1250N 1750 miles is the given output value in this question, because it depends on the time. What value of the time does it take to output 1750 miles? HINT 1 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:18:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 4 NEXT_HINT You know that the expression 1250N + 750 represents the total distance it has flown. What value of the time will make the general expression 1250N + 750 output the given value of 1750 miles? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:18:04.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 5 NEXT_HINT Since the general expression for the total distance it has flown is 1250N + 750 and since the total distance it has flown in this question is 1750, set the two of them equal to find the time. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:18:08.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31B R6C1 6 NEXT_HINT Solve the equation 1250N + 750 = 1750. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:18:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B ValidEquations 1 OK 1250N+750=1750 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:19:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B 1250N+750 = 1750 strategic 1 OK divide 1250 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:19:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+3/5 = 7/5 strategic 1 ERROR rf N+3/5 = 7/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:19:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+3/5 = 7/5 strategic 2 ERROR clt N+3/5 = 7/5 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:19:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B N+3/5 = 7/5 strategic 3 OK subtract 3/5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:20:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 7 OK 4/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:21:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK students enrolled in algebra default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:23:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK number of students receiving an A or a B default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:23:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK X default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:25:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:25:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:25:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:25:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:34:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 OK X*.15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 1 OK X*0.15=48 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:36:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A X*0.15 = 48 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:36:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 OK 320 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:36:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A ValidEquations 2 OK X*0.15=9 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:36:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A X*0.15 = 9 strategic 1 OK divide 0.15 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:37:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 60 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:38:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK number of snow cones default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:38:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK the profit default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:38:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK P default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:41:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 OK P*0.50-50.00 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:41:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:41:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:41:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:41:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:42:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 1 OK 0.5P-50=300 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:42:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5P-50 = 300 strategic 1 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:42:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 P-100 = 600 strategic 1 OK add 100 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:42:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 OK 700 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:43:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 ValidEquations 2 OK 0.5P-50=153.5 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:43:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 0.5P-50 = 153.5 strategic 1 OK divide 0.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:43:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 P-100 = 307 strategic 1 OK add 100 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 407 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:45:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 OK the length of the mobile telephone call default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:46:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK the total cost of the call default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:46:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:48:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK J default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:50:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:50:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:51:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:51:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:53:36.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 OK .75*J+3.50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:54:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 1 OK 0.75J+3.5=17 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session20 2005-12-07 08:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75J+3.5 = 17 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:03:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 1 OK 0.75J+3.5=17 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:03:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75J+3.5 = 17 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:04:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B J+4.66666667 = 22.66666667 strategic 1 OK subtract 4.6667 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:04:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:04:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B ValidEquations 2 OK 0.75J+3.5=32.75 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:05:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B 0.75J+3.5 = 32.75 strategic 1 OK divide 0.75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:05:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B J+4.66666667 = 43.66666667 strategic 1 OK subtract 4.6667 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:05:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:08:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C1 1 OK the cellular phone time used next month default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:08:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C1 1 OK minutes default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:09:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R1C2 1 OK the balance on the next bill default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:09:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R2C2 1 OK $ default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:10:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C1 1 OK P default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:10:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R3C2 1 OK 0.23*P-7.87 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:10:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R4C1 1 OK 43 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:11:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R5C1 1 OK 100 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:11:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C2 1 OK 38.13 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:11:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C2 1 OK 25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:12:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 1 OK 0.23P-7.87=38.13 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:12:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23P-7.87 = 38.13 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:13:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 P-34.2173913 = 165.7826087 strategic 1 OK add 34.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:13:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R6C1 1 OK 200 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:13:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 ValidEquations 2 OK 0.23P-7.87=25 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:13:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 0.23P-7.87 = 25 strategic 1 OK divide 0.23 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 P-34.2173913 = 108.69565217 strategic 1 OK add 34.2174 default_condition [SkillRule: Isolate negative; x+a=b, negative] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session21 2005-12-09 10:13:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15 R7C1 1 OK 142.913 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session22 2005-12-14 08:44:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK the number of hours from now default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session22 2005-12-14 08:45:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session22 2005-12-14 08:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session22 2005-12-14 08:47:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session22 2005-12-14 08:54:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 2 OK celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session22 2005-12-14 08:55:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK H default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:26:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 OK -36-(4.5*H) default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:26:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:26:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:26:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 OK -72 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:27:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:27:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 1 BUG -36-(4.5H)=-73 -36-(4.5H)=-73
Please check to make sure that -36-(4.5H)=-73 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:27:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 2 OK -36-(4.5H)=-72 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:28:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-(4.5H) = -72 strategic 1 ERROR add 4.5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:29:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-(4.5H) = -72 strategic 2 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:29:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H = -36 strategic 1 BUG add 4.5 In -4.5H, H is multiplied by -4.5. How do you undo multiplication? BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:29:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H = -36 strategic 2 BUG divide 4.5 In this equation, H is multiplied by -4.5. Dividing by 4.5 leaves -H, so you still need to remove the negative sign. It is better to divide by -4.5, since that would leave H. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:29:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H = -36 strategic 3 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:30:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK 8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:30:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C ValidEquations 3 OK -36-(4.5H)=0 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:30:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -36-(4.5H) = 0 strategic 1 OK add 36 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:30:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C -4.5H = 36 strategic 1 OK divide -4.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:30:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:32:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK the digging time default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:32:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:32:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK the depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:33:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:33:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK M default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:34:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 OK -1550-7*M default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:34:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 BUG 10*12 10*12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:35:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:35:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 OK -120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:36:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 BUG -24 -24
Think about the sign of your answer. BUG default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:37:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 2 OK 24 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:37:47.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 BUG 1564 1564
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:37:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 2 OK -1564 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 ERROR -1550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:48:10.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47 R6C1 1 INITIAL_HINT -1564 feet is the given output value in this question, because it depends on the digging time. What value of the digging time does it take to output -1564 feet? HINT 1 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7M=-1564 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:49:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = -1564 strategic 1 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:49:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = -14 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session23 2005-12-16 08:49:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 2 OK 2 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:22:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:22:53.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 ValidEquations 1 OK -1550-7M=0 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:23:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:23:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 1 ERROR rf 1550/7+M = 0 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:23:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 2 ERROR subtract 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:24:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 3 ERROR multiply 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:24:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 4 ERROR rds 1550/7+M = 0 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:25:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 5 ERROR clt 1550/7+M = 0 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:25:09.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 6 ERROR rf 1550/7+M = 0 strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:25:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 1550/7+M = 0 strategic 7 ERROR multiply M default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:26:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -1550-7M = 0 strategic 2 OK add 1550 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:27:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 -7M = 1550 strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:27:55.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 OK -1550/7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:29:33.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:29:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:29:56.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:30:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:30:18.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:30:22.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:31:01.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (7-2)*6 strategic 1 OK clt 7-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:31:07.0 CYCLE CYCLE ES_02 ES_02-1 EG30 5*6 strategic 1 OK mt 5*6 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:31:29.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-3-9) strategic 1 OK clt -3-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:31:36.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4*-12 strategic 1 OK mt -4*-12 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:31:49.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+1*-9 strategic 1 OK mt 1*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:31:56.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+(-9) strategic 1 OK clt -9+(-9) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:32:12.0 CYCLE CYCLE ES_02 ES_02-1 EG29 2*-5-7 strategic 1 OK mt 2*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:32:20.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -10-7 strategic 1 OK clt -10-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:32:42.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-8-6) strategic 1 OK clt -8-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:32:48.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4*-14 strategic 1 OK mt -4*-14 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:32:57.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-6*-1 strategic 1 OK mt 6*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:33:02.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-(-6) strategic 1 ERROR mt 1-(-6) strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:33:20.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-(-6) strategic 2 OK clt 1-(-6) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:33:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-4+0)*-3 strategic 1 OK clt -4+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:33:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -4*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:34:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -4*-3 strategic 1 OK mt -4*-3 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:34:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:34:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:34:55.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7(7+1) strategic 1 OK clt 7+1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR 8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:00.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR 8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:15.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK 7*8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:22.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7*8 strategic 1 OK mt 7*8 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 56 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:35:38.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-7*0 strategic 1 OK mt 7*0 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -3(0) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 ERROR -3(0) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:07.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 ERROR -3(0) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:34.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 4 ERROR -3-3-0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:45.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 5 OK -3-0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -3-0 strategic 1 OK clt -3-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:36:59.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 6 OK -3 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:37:26.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-4*7 strategic 1 OK mt 4*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:37:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -7-28 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:37:50.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -7-28 strategic 1 OK clt -7-28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:38:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -36 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:38:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 ERROR -36 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:38:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR -36 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:39:43.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK -35 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:39:54.0 CYCLE CYCLE ES_02 ES_02-2 EG31 4(5+6) strategic 1 OK clt 5+6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK 11*4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:07.0 CYCLE CYCLE ES_02 ES_02-2 EG31 11*4 strategic 1 OK mt 11*4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 44 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-5*0 strategic 1 OK mt 5*0 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR -8-5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -8-0 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:49.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-0 strategic 1 OK clt -8-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:40:53.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:41:04.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-4*9 strategic 1 OK mt 4*9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:41:21.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -2-36 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:41:33.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -2-36 strategic 1 OK clt -2-36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:41:46.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -38 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:42:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-1-9)*-4 strategic 1 OK clt -1-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:42:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR -18*-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:42:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -18*(-4) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -10*-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:27.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -10*-4 strategic 1 OK mt -10*-4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:32.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK 40 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:41.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (7+4)*8 strategic 1 OK clt 7+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 ERROR 11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:46.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 ERROR 11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:44:54.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK 11*8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:00.0 CYCLE CYCLE ES_02 ES_02-2 EG30 11*8 strategic 1 OK mt 11*8 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:03.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 5 OK 88 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:13.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4(-4-4) strategic 1 OK clt -4-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:28.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -4-8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -4-8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -4-8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 OK -4(-8) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:45:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -4*-8 strategic 1 OK mt -4*-8 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:46:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 32 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:46:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(-5+0) strategic 1 OK clt -5+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:46:40.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -5(-5) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:46:47.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-5 strategic 1 OK mt -5*-5 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:47:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 25 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:47:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6-6)*-1 strategic 1 OK mt (-6-6)*-1 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:48:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-6-6)*-1 strategic 2 OK clt -6-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:49:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -12*(-1) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:49:16.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -12*-1 strategic 1 OK mt -12*-1 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:49:28.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 12 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:49:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3+5*-9 strategic 1 OK mt 5*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:50:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 3+(-45) default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:50:30.0 CYCLE CYCLE ES_02 ES_02-2 EG28 3-45 strategic 1 OK clt 3-45 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:50:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -42 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:50:47.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-10+0)*-6 strategic 1 OK clt -10+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:50:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -10*(-6) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:51:09.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -10*-6 strategic 1 OK mt -10*-6 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:51:29.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 60 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:52:54.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = (12+19)*15 strategic 1 OK clt 12+19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:01.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = 31*15 strategic 1 OK mt 31*15 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:12.0 CYCLE CYCLE ES_02 ES_02-3 EG35 -5(6-7) = y strategic 1 OK clt 6-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:17.0 CYCLE CYCLE ES_02 ES_02-3 EG35 -5*-1 = y strategic 1 OK mt -5*-1 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:34.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = 23+33*-42 strategic 1 OK mt 33*-42 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:38.0 CYCLE CYCLE ES_02 ES_02-3 EG33C x = 23+(-1386) strategic 1 OK clt 23+(-1386) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:50.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -39-34*4 strategic 1 ERROR clt x = -39-34*4 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:53:58.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -39-34*4 strategic 2 OK mt 34*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:01.0 CYCLE CYCLE ES_02 ES_02-3 EG32A x = -39-136 strategic 1 OK clt -39-136 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:15.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -14*42-10 strategic 1 OK mt -14*42 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:19.0 CYCLE CYCLE ES_02 ES_02-3 EG33B x = -588-10 strategic 1 OK clt -588-10 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:31.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -12-14*-19 strategic 1 OK mt 14*-19 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:35.0 CYCLE CYCLE ES_02 ES_02-3 EG32B x = -12-(-266) strategic 1 OK clt -12-(-266) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:49.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -28(-3-12) = x strategic 1 OK clt -3-12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:54:54.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -28*-15 = x strategic 1 OK mt -28*-15 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session24 2005-12-21 08:55:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (-9-6)*-5 = y strategic 1 OK clt -9-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:16:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-8+3)*-4 strategic 1 OK clt -8+3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:16:59.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -5*-4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:17:20.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -5*-4 strategic 1 OK mt -5*-4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:17:33.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 ERROR -20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:17:37.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 3 OK 20 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:18:55.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -29(-41+34) strategic 1 OK clt -41+34 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:19:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -29(-7) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:19:44.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -29*-7 strategic 1 OK mt -29*-7 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:21:06.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = -29*-7 strategic 2 OK mt -29*-7 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:21:11.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 203 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:21:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -21(-49+1) strategic 1 OK clt -49+1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:21:39.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 ERROR -48 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:21:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -21(-48) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:22:04.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = -21*-48 strategic 1 OK mt -21*-48 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:22:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 3 OK 1008 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:24:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x+9 = 1 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:24:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x+9 = 1 strategic 2 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:25:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x+9 = 1 strategic 3 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:25:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x+9-9 = 1-9 strategic 1 OK clt -2x+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:25:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x = 1-9 strategic 1 OK clt 1-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:25:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x = -8 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:25:44.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2x/-2 = -8/-2 strategic 1 OK rf -2x/-2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:25:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = -8/-2 strategic 1 OK rf -8/-2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:26:22.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9 = 3-1x strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:26:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-3 = 3-1x-3 strategic 1 OK clt 3-1x-3 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:26:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -9-3 = -1x strategic 1 OK clt -9-3 default_condition [SkillRule: Consolidate vars, no coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:26:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12 = -1x strategic 1 OK divide -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:26:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12/-1 = -1x/-1 strategic 1 OK rf -1x/-1 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:27:01.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -12/-1 = x strategic 1 OK rf -12/-1 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:30:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6 = -8x+10 strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:30:16.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-10 = -8x+10-10 strategic 1 OK clt -8x+10-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:30:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6-10 = -8x strategic 1 OK clt 6-10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:30:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:30:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-8 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:31:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/-8 = x strategic 1 OK rf -4/-8 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session25 2006-01-04 08:32:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8+4y = 1 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:30:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5 = -10+9y strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:33:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+10 = -10+9y+10 strategic 1 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:34:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -5+10 = -10+9y+10 strategic 2 OK typein 9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:34:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 9y strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:35:01.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/9 = 9y/9 strategic 1 BUG typein 1.8 You need to calculate 5 divided by 9, not 9 divided by 5. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:35:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/9 = 9y/9 strategic 2 ERROR typein .5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:35:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/9 = 9y/9 strategic 3 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:37:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5/9 = 9y/9 strategic 4 OK typein 0.55555555555555555 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:38:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-9y = -4 strategic 1 BUG add 6 Since 6 is positive, you should subtract to remove it from the left side. Erase your last step and subtract 6 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:38:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-9y = -4 strategic 2 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:38:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-9y-6 = -4-6 strategic 1 BUG typein 9y You need to calculate 6-9y minus 6, not 6 minus 6-9y. BUG default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:38:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-9y-6 = -4-6 strategic 2 OK typein 6-9y-6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:38:52.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-9y-6 = -4-6 strategic 3 OK typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:38:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6-9y-6 = -10 strategic 1 OK clt 6-9y-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:39:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 BUG -3y=-10 -3y=-10
Perhaps you should fill in all the y terms above. BUG default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:40:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 y1R1 strategic 1 BUG 6 6
Like terms look similar, such as all constants or x^2 terms. The term you dragged, 6, is not one of the y terms. BUG default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:44:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -9y default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:44:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = -10 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:45:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -10/-9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:47:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -10/-9 strategic 2 BUG typein .9 You need to calculate -10 divided by -9, not -9 divided by -10. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:47:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -10/-9 strategic 3 OK typein 1.111111111 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:48:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-8 = 5 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:48:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-8+8 = 5+8 strategic 1 OK typein -3x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:48:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x-8+8 = 5+8 strategic 2 OK typein 13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:48:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x = 13 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:49:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x/-3 = 13/-3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:49:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3x/-3 = 13/-3 strategic 2 OK typein -4.333333333 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:49:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y+7 = -6 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:49:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y+7-7 = -6-7 strategic 1 OK typein -2y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:50:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y+7-7 = -6-7 strategic 2 OK typein -13 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:50:59.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y = -13 strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:51:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = -13/-2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:51:23.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2y/-2 = -13/-2 strategic 2 OK typein 6.5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:51:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = y/-2+5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-5 = y/-2+5-5 strategic 1 OK clt y/-2+5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3-5 = y/-2 strategic 1 OK clt -3-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8 = y/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*-2 = y/-2*-2 strategic 1 OK mt y/-2*-2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -8*-2 = y strategic 1 OK mt -8*-2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:52.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3 = 5+y/5 strategic 1 OK subtract 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:52:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3-5 = 5+y/5-5 strategic 1 OK clt 5+y/5-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 3-5 = y/5 strategic 1 OK clt 3-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2 = y/5 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:18.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*5 = y/5*5 strategic 1 OK mt y/5*5 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -2*5 = y strategic 1 OK mt -2*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0 = 3+x/6 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0-3 = 3+x/6-3 strategic 1 OK clt 3+x/6-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 0-3 = x/6 strategic 1 OK clt 0-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:53:57.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3 = x/6 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:03.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3*6 = x/6*6 strategic 1 OK mt x/6*6 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:05.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -3*6 = x strategic 1 OK mt -3*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = y/4-9 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+9 = y/4-9+9 strategic 1 OK typein 5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+9 = y/4-9+9 strategic 2 OK typein y/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5 = y/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:54:56.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*4 = y/4*4 strategic 1 OK typein 20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 5*4 = y/4*4 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = 7+y/4 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-7 = 7+y/4-7 strategic 1 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1-7 = 7+y/4-7 strategic 2 OK typein y/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6 = y/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*4 = y/4*4 strategic 1 OK typein -24 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -6*4 = y/4*4 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session27 2006-01-06 08:55:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = y/-8-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:18:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2-1 = -1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:19:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2-1+1 = -1+1 strategic 1 OK typein x/2-1+1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:19:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2-1+1 = -1+1 strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:19:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2-1+1 = 0 strategic 1 OK clt x/2-1+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:19:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 FinalAnswer strategic 1 OK x/2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:20:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2 = 0 strategic 1 OK multiply 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:20:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = 0*2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:20:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/2*2 = 0*2 strategic 2 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:21:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 8/y strategic 1 BUG multiply 8 To remove the coefficient of 8/y, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:21:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 8/y strategic 2 ERROR add 9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:24:33.0 HINT HINT ES_02 ES_02-9 EG44 -9 = 8/y strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:24:38.0 HINT HINT ES_02 ES_02-9 EG44 -9 = 8/y strategic 4 NEXT_HINT 8/y is 8 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:25:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 8/y strategic 5 ERROR multiply y/8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:25:40.0 HINT HINT ES_02 ES_02-9 EG44 -9 = 8/y strategic 6 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:25:41.0 HINT HINT ES_02 ES_02-9 EG44 -9 = 8/y strategic 7 NEXT_HINT 8/y is 8 divided by y. How do you undo division? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:25:44.0 HINT HINT ES_02 ES_02-9 EG44 -9 = 8/y strategic 8 NEXT_HINT Multiply both sides by y. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:25:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = 8/y strategic 9 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:26:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y = 8/y*y strategic 1 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:26:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y = 8 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:26:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9y/-9 = 8/-9 strategic 1 OK rf -9y/-9 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:26:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 8/-9 strategic 1 OK rf 8/-9 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:26:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -8/9 strategic 1 BUG rf y = -8/9 strategic You already solved the equation. y is -8/9. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:27:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x = -10 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:27:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/x*x = -10x strategic 1 OK mt -9/x*x default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:27:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -10x strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:27:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/-10 = -10x/-10 strategic 1 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:27:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9/-10 = x strategic 1 OK rf -9/-10 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:27:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y = -4 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/y*y = -4y strategic 1 OK mt 8/y*y default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -4y strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-4 = -4y/-4 strategic 1 ERROR rds 8/-4 = -4y/-4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-4 = -4y/-4 strategic 2 ERROR rds 8/-4 = -4y/-4 strategic default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-4 = -4y/-4 strategic 3 OK rf -4y/-4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-4 = y strategic 1 OK rf 8/-4 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 6/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5x = 6/x*x strategic 1 OK mt 6/x*x default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:28:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5x = 6 strategic 1 OK divide -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:29:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5x/-5 = 6/-5 strategic 1 OK rf -5x/-5 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:29:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 6/-5 strategic 1 OK rf 6/-5 default_condition hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:29:32.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7 = 10/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:29:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 10/x*x strategic 1 OK typein 7x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:29:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 10/x*x strategic 2 ERROR typein 11x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:30:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 10/x*x strategic 3 ERROR typein 10x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:30:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 10/x*x strategic 4 OK typein 10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:31:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x = 10 strategic 1 OK divide 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:31:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = 10/7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:31:46.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = 10/7 strategic 2 BUG typein .7 You need to calculate 10 divided by 7, not 7 divided by 10. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:33:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 7x/7 = 10/7 strategic 3 OK typein 1.42857142 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:33:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x = 4 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:33:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x*x = 4x strategic 1 OK typein 4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:33:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/x*x = 4x strategic 2 OK typein 4x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:34:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4 = 4x strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:34:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/4 = 4x/4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:34:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 4/4 = 4x/4 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:34:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/y = 1 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:35:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/y*y = 1y strategic 1 OK typein -10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:35:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/y*y = 1y strategic 2 OK typein 1y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:35:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10 = 1y strategic 1 OK divide 1 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:35:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/1 = 1y/1 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 oEt3YTvS4G session28 2006-01-11 08:35:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -10/1 = 1y/1 strategic 2 OK typein -10 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:52:14.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:52:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:52:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG cost of suba lessons cost of suba lessons
Try total cost of scuba lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:52:38.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 BUG cost of scuba lessons COST OF SCUBA LESSONS
Try total cost of scuba lessons. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 3 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:52:52.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dolalrs default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:53:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK t default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:53:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50t+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:53:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:53:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:53:52.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:54:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:54:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:54:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 BUG 2385.75=25.5t+90.75 2385.75=25.5t+90.75
Please check to make sure that 2385.75=25.5t+90.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:54:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 2385.75 = 25.5t+90.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 2295 = 25.5t strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:06.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK amount of carpet default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 OK sq. yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 OK total coast default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK y default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95y default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:55:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 ERROR 41.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 2 ERROR 41.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 3 OK 40.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 OK 1036 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 388.5/12.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:56:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 1036/12.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:57:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C1 1 OK amount of money spent default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:57:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:57:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R1C2 1 OK total points default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:57:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C1 1 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:57:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R3C2 1 OK 5d+5000 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:57:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R4C1 1 OK 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:58:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R5C1 1 OK 27.5*12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:58:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:58:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:58:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R6C1 1 OK (46000-5000)/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:58:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13A R7C1 1 OK 27000/5-1000 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C1 1 OK square ft default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R1C2 1 OK cost default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C1 1 OK d default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R3C2 1 OK 49.5d default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R4C1 1 OK 2500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 08:59:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R5C1 1 OK 245 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:00:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C2 1 OK 321750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:00:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C2 1 OK 42916.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:00:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R6C1 1 OK 321750/49.5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:01:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10C R7C1 1 OK 42916.5/49.5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time from now default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK distance jet has flown default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 OK 1250x+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:02:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:03:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 OK 1+(36/60) default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:03:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 OK 3500/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:03:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 OK (1750-750)/1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:03:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 ERROR 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:03:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 2 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:03:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 OK 2750/1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:04:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK students in algebra default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:04:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK students recieving an A or B default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:04:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 OK 0.15x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:04:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:04:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 OK 48/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 OK 9/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK number of cones sold default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK profit default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK dolalrs default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK c default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 OK 1.5c-60 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:05:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 ERROR 550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 2 ERROR 550 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 3 OK 540 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 OK 600/1.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:06:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 343.5/1.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C1 1 OK length of mombile telephone call default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C1 1 OK min default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R1C2 1 OK total cost of call default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R3C2 1 OK 1.5m+2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R4C1 1 OK 8 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R5C1 1 OK 2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C2 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:07:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R6C1 1 OK 18/1.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C2 1 OK 54.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01A R7C1 1 OK 52.5/1.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C1 1 OK min default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R1C2 1 OK next bill default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:08:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R3C2 1 OK .21x-5.26 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R4C1 1 OK 27 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C2 1 OK 15.74 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R6C1 1 OK 21/.21 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C2 1 OK 20 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:09:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15A R7C1 1 OK 25.26/.21 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:10:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 1 OK number of hours default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:10:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:10:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 1 BUG temp. of liquid temp. of liquid
Try the temperature of the liquid. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:10:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 2 OK the temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:10:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 1 OK celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:10:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C1 1 OK t default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:11:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 1 OK -3.5t-28 default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:11:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:11:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R5C1 1 OK 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:11:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:11:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 1 OK -84 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:11:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 1 OK 28/-3.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C1 1 OK (-84+28)/-3.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C1 1 OK digging time default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 1 BUG min min
MIN. is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C1 2 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R1C2 1 OK depth of mine default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:12:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 1 ERROR 7x+1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 2 ERROR -7x-1500 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R3C2 3 OK -7x-1550 default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 1 ERROR 10 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 2 BUG 120 120
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R4C1 3 OK -120 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R5C1 1 OK 24 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:13:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C2 1 OK -1564 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:14:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 1 ERROR 7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:14:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R6C1 2 OK (-1564+1550)/-7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:14:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:14:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47 R7C1 1 OK 1550/-7 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:10.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:17.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 8 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:21.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:25.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR mt 2y/2 = 8/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:27.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 ERROR mt 2y/2 = 8/2 strategic default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:34.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 3 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 4 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:51.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4(-5+0) strategic 1 OK clt -5+0 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:15:54.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -4*-5 strategic 1 OK mt -4*-5 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:01.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (9-7)*-3 strategic 1 OK clt 9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:03.0 CYCLE CYCLE ES_02 ES_02-1 EG30 2*-3 strategic 1 OK mt 2*-3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:09.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-10*-9 strategic 1 OK mt 10*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:12.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -8-(-90) strategic 1 OK clt -8-(-90) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:18.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2*1-3 strategic 1 OK mt -2*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -2-3 strategic 1 OK clt -2-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:24.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2(-3+5) strategic 1 OK clt -3+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:26.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2*2 strategic 1 OK mt 2*2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-6*-9 strategic 1 OK mt 6*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:32.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -5-(-54) strategic 1 OK clt -5-(-54) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:37.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2(8-9) strategic 1 OK clt 8-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 BUG 2 2
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 BUG 2*1 2*1
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -1*1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:51.0 HINT HINT ES_02 ES_02-2 EG31 FinalAnswer strategic 4 INITIAL_HINT -1*1 You need to combine like terms in 2(8-9). HINT 1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:16:58.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK -1*2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:17:02.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1*2 strategic 1 OK mt -1*2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:17:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 OK -2 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:17:12.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9+9)*-3 strategic 1 OK clt -9+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:17:19.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 0*-3 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:17:23.0 CYCLE CYCLE ES_02 ES_02-2 EG30 0*-3 strategic 1 OK mt 0*-3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session4 2005-11-08 09:17:25.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3 = -9x-10 strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:29.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3+10 = -9x-10+10 strategic 1 OK clt 3+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -9x-10+10 strategic 1 OK clt -9x-10+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:39.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/-9 = -9x/-9 strategic 1 ERROR mt 13/-9 = -9x/-9 strategic default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/-9 = -9x/-9 strategic 2 OK rf -9x/-9 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:42:53.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/-9 = x strategic 1 OK rf 13/-9 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:04.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-3 = -5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-3+3 = -5+3 strategic 1 OK clt -5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y-3+3 = -2 strategic 1 OK clt 6y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = -2 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = -2/6 strategic 1 OK rf 6y/6 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -2/6 strategic 1 OK rf -2/6 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:36.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -6y-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5+2 = -6y-2+2 strategic 1 OK clt 5+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6y-2+2 strategic 1 OK clt -6y-2+2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:51.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7 = -6y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:43:59.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/-6 = -6y/-6 strategic 1 OK rf -6y/-6 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session5 2005-11-11 04:44:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 7/-6 = y strategic 1 OK rf 7/-6 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+4 = -3 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+4-4 = -3-4 strategic 1 OK typein -7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y+4-4 = -3-4 strategic 2 OK typein -9y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y = -7 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -7/-9 strategic 1 OK typein 7/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -9y/-9 = -7/-9 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:47.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2 = 0 strategic 1 BUG subtract -2 To remove 2 from the left side, you can subtract a positive from it. Erase your last step and subtract 2 from both sides. BUG default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:26:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-(-2) = 0-(-2) strategic 1 BUG typein -2 -2 is equal to 0 plus -2. You need to calculate 0 minus -2. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-(-2) = 0-(-2) strategic 2 BUG typein 6x 6x is equal to 6x+2 plus -2. You need to calculate 6x+2 minus -2. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-(-2) = 0-(-2) strategic 3 OK typein 6x+4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+2-(-2) = 0-(-2) strategic 4 OK typein 2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+4 = 2 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:40.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+4-4 = 2-4 strategic 1 OK typein -2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x+4-4 = 2-4 strategic 2 OK typein 6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x = -2 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:54.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -2/6 strategic 1 OK typein -1/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:27:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6x/6 = -2/6 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:06.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1 = -6x+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-7 = -6x+7-7 strategic 1 OK typein -6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 1-7 = -6x+7-7 strategic 2 OK typein -6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:22.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6 = -6x strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:24.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-6 = -6x/-6 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -6/-6 = -6x/-6 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = -8+(y/-8) strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7+8 = -8+(y/-8)+8 strategic 1 OK clt -7+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = -8+(y/-8)+8 strategic 1 OK clt -8+(y/-8)+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:54.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/-8 strategic 1 OK multiply -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:28:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-8 = y/-8*-8 strategic 1 OK mt y/-8*-8 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:29:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-8 = y strategic 1 ERROR rf 1*-8 = y strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session6 2005-11-16 08:29:06.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1*-8 = y strategic 2 OK mt 1*-8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:38:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(y/-9) = -6 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:38:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1+(y/-9)-1 = -6-1 strategic 1 OK clt 1+(y/-9)-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:38:59.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = -6-1 strategic 1 OK clt -6-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9 = -7 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/-9*-9 = -7*-9 strategic 1 OK mt y/-9*-9 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -7*-9 strategic 1 OK mt -7*-9 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-5-3 = 7 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:38.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-5-3+3 = 7+3 strategic 1 OK clt x/-5-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-5 = 7+3 strategic 1 OK clt 7+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-5 = 10 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-5*-5 = 10*-5 strategic 1 OK mt x/-5*-5 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:39:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 10*-5 strategic 1 OK mt 10*-5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6 = 10+(x/-3) strategic 1 OK subtract 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:07.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-10 = 10+(x/-3)-10 strategic 1 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:16.0 CYCLE CYCLE ES_02 ES_02-8 EG41 6-10 = 10+(x/-3)-10 strategic 2 OK typein x/-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = x/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*-3 = x/-3*-3 strategic 1 OK typein 12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*-3 = x/-3*-3 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9 = y/4-3 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+3 = y/4-3+3 strategic 1 OK typein y/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 9+3 = y/4-3+3 strategic 2 OK typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:47.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12 = y/4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*4 = y/4*4 strategic 1 OK typein 48 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:40:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*4 = y/4*4 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8 = x/-2+2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-2 = x/-2+2-2 strategic 1 OK typein x/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -8-2 = x/-2+2-2 strategic 2 OK typein -10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:14.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10 = x/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-2 = x/-2*-2 strategic 1 OK typein 20 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -10*-2 = x/-2*-2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:30.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y = -1 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9/y*y = -1y strategic 1 OK mt 9/y*y default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9 = -1y strategic 1 OK multiply -1 default_condition [SkillRule: Make variable positive; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9*-1 = -1y*-1 strategic 1 ERROR clt 9*-1 = -1y*-1 strategic default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 9*-1 = -1y*-1 strategic 2 OK mt 9*-1 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:41:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -9 = -1y*-1 strategic 1 OK mt -1y*-1 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = -10 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x*x = -10x strategic 1 OK mt 2/x*x default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -10x strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-10 = -10x/-10 strategic 1 OK rf 2/-10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1/5 = -10x/-10 strategic 1 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 2/y strategic 1 OK multiply y/8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8y/8 = (2/y)*(y/8) strategic 1 OK rf 8y/8 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:42:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = (2/y)*(y/8) strategic 1 OK mt (2/y)*(y/8) default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:09.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = 2/x strategic 1 OK multiply x/-9 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x/-9 = (2/x)*(x/-9) strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:22.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9x/-9 = (2/x)*(x/-9) strategic 2 OK typein -2/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1 = 2/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 2/x*x strategic 1 BUG typein x Just multiply 1 by x. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 2/x*x strategic 2 OK typein 2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:43:53.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 2/x*x strategic 3 BUG typein x Just multiply 1 by x. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 2/x*x strategic 4 OK typein 1*x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 1x = 2 strategic 1 BUG mt 1x = 2 strategic You already solved the equation. x is 2. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8 = -8/x strategic 1 OK multiply x/8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:21.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = (-8/x)*(x/8) strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:26.0 CYCLE CYCLE ES_02 ES_02-10 EG44 8x/8 = (-8/x)*(x/8) strategic 2 OK typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:36.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -7/x = 7 strategic 1 OK multiply x/7 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (-7/x)*(x/7) = 7x/7 strategic 1 OK typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session7 2005-11-18 07:44:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (-7/x)*(x/7) = 7x/7 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:24:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK Time Spent Taking Scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:24:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:24:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost of scuba lessons default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:24:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:25:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:25:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C2 1 OK 25.50*30+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:27:07.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C2 1 OK 25.50*50+90.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:27:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK h default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:28:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50H+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:29:00.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:29:27.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 INITIAL_HINT 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:30:24.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 NEXT_HINT You know that the expression 25.5H + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5H + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:31:23.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5H + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:31:27.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 NEXT_HINT Solve the equation 25.5H + 90.75 = 192.75. HINT 4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:33:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 25.5h+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:33:35.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 25.5H+90.75=192.75 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:34:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 192.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:34:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 102 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:34:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:37:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:37:43.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 25.5H+90.75=2385.75 25.5H+90.75=2385.75
Please check to make sure that 25.5H+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:38:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H+90.75 = 2385.75 strategic 1 OK subtract 90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5H = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session8 2005-12-14 05:39:13.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:33:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C1 1 OK Amount of Carpet default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:33:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R1C2 1 OK Total Cost default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:33:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C1 1 OK square yards default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:33:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R3C2 1 OK 14.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R4C1 1 OK 14 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 1 ERROR .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 2 ERROR .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R5C1 3 OK 10.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C2 1 OK 747.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R6C1 1 OK 747.5/14.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:34:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 1 ERROR 1169 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 2 ERROR 1169 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C2 3 OK 1196 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36C R7C1 1 OK 1196/14.95 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 1 OK amount money spent default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 1 OK total number of points default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:35:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:36:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:36:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:36:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 1 OK 12*27.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:36:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 1 OK 46000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:36:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C2 1 OK 27000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:36:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 1 OK 41000/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 1 OK 22000/5 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C1 1 OK area of construction default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R1C2 1 OK cost of construction default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C1 1 OK square feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R3C2 1 OK 43.5x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:37:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R4C1 1 OK 1250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R5C1 1 OK 255 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C2 1 OK 239250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C2 1 OK 12049.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R6C1 1 OK 239250/43.5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10B R7C1 1 OK 12049.5/43.5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C1 1 OK time default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R1C2 1 OK total distance default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:38:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C1 1 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R2C2 1 OK miles default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C2 1 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 1 ERROR 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 2 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C2 2 BUG 3500/2 3500/2
You entered 1,750 in the wrong row. BUG default_condition Find Y, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:39:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 3 BUG 3500 3500
You entered 3,500 in the wrong row. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:40:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 1 ERROR (3500-750)-1250x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:40:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R3C2 2 OK 1250x+750 default_condition Using large numbers Using simple numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:41:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C2 4 OK 3500/2 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:41:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C2 1 OK 3500 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:41:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R4C1 1 OK .5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:41:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 1 ERROR 136/60 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:41:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R5C1 2 OK 1+36/60 default_condition Convert unit, mixed Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R6C1 1 OK 1000/1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31B R7C1 1 OK 2750/1250 default_condition Find X, positive slope Using large numbers Using simple numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C1 1 OK total students default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C2 1 OK students earning and A or B default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 1 OK .25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R4C1 1 OK 440 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:42:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R5C1 1 OK 700 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C2 1 OK 1125 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C1 1 OK 1125/.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C2 1 OK 40 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C1 1 OK 40/.25 default_condition Find X, Simple Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C1 1 OK cones sold default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:43.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R1C2 1 OK profit default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R2C2 1 OK dolalrs default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:43:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 1 BUG .5x .5x
The profit increases by 0.5 each snow cone, but remember that it starts at -50 dollars. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R3C2 2 OK .5x-50 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R4C1 1 OK 200 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R5C1 1 OK 1000 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C2 1 OK 300 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R6C1 1 OK 350/.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C2 1 OK 153.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:44:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41 R7C1 1 OK 203.5/.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 1 BUG minutes minutes
MINUTES is a unit used to measure something in this problem. Try using a more descriptive phrase. What is measured in minutes? BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 1 OK cost default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 2 BUG total minutes used total minutes used
You are on the right track with minutes, but you need a more specific label. Try the length of the phone call. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 3 OK length of phone call default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 1 OK min default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 1 OK .5x+3 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:53.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 1 OK 3 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:45:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 1 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C2 1 OK 7 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 1 OK 4/.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:15.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C2 1 OK 23.5 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 1 ERROR 21.5/.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 2 OK 20.5/.5 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C1 1 OK cost of item default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R1C2 1 OK total cost of order default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:46:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C1 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C2 1 BUG 116.25 116.25
You entered 116.25 in the wrong row. BUG default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C2 1 OK 116.25 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 1 ERROR 108 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C2 2 OK 180 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R3C2 1 OK 10+.85x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R4C1 1 OK 50 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:47:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R5C1 1 OK 250 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:06.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R6C1 1 OK 106.25/.85 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14B R7C1 1 OK 170/.85 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C1 1 OK cellular phone time used default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 1 BUG next bill amount next bill amount
Try balance on the next bill. BUG default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R1C2 2 OK balance on next bill default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C1 1 OK min default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R2C2 1 OK dollars default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C1 1 OK x default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:48:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C2 1 OK 23.85 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:49:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C2 1 OK 15 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:49:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 1 ERROR -4.95+.19x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:49:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 2 ERROR .19x-4.95 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:49:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R3C2 3 OK .19x-4.65 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:49:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R4C1 1 OK 31 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:50:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R5C1 1 OK 75 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:50:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R6C1 1 OK (23.85+4.65)/.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session9 2006-01-04 07:50:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15B R7C1 1 OK (19.65)/.19 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:02:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C1 1 OK number of hours from now default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:02:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 1 BUG t t
You entered T in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R1C2 1 OK temperature of the liquid default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 2 BUG t t
You entered T in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 3 BUG t t
You entered T in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 4 BUG x x
You entered X in the wrong row. BUG default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C1 1 OK t default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C1 5 OK hours default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:03:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R2C2 1 OK celsius default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R3C2 1 OK -36-4.5T default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R4C1 1 OK 24 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R5C1 1 OK 16 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 1 BUG 72 72
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 2 BUG 72 72
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C2 3 OK -72 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R6C1 1 OK (-72+36)/-4.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:04:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 1 BUG 36 36
Subtracting -36 from 0 is OK, but then you need to divide by -4.5. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:05:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 2 ERROR 364.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:05:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 3 BUG 36/4.5 36/4.5
Use parentheses. Type (0 - -36)/ -4.5 as (0 - -36)/ -4.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session11 2006-01-17 12:05:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04C R7C1 4 OK -36/4.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:25:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C1 1 OK digging time default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:25:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R1C2 1 OK depth of the mine default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:25:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C2 1 OK feet default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:25:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R2C1 1 OK months default_condition Identifying units hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:26:02.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C1 1 OK m default_condition Define Variable hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:26:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R3C2 1 OK -1450-8m default_condition Using simple numbers Using small numbers Write expression, negative slope hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:26:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 1 BUG 12 12
Think about the sign of your answer. BUG default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session12 2006-01-18 04:26:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R4C1 2 OK -12 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:01:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R5C1 1 OK 120 default_condition Convert unit, standard Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:01:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C2 1 OK -1994 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:01:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C2 1 OK 0 default_condition Entering a given hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:02:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C1 1 BUG -1994 -1994
You entered -1,994 in the wrong column. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:02:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 1 BUG 1450 1450
Subtracting -1450 from 0 is OK, but then you need to divide by -8. BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:02:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R6C1 2 OK (-1994+1450)/-8 default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:02:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 2 BUG (-1450/-8) (-1450/-8)
Use parentheses. Type (0 - -1450)/ -8 as (0 - -1450)/ -8 BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:02:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47C R7C1 3 OK (1450/-8) default_condition Find X, negative slope Using simple numbers Using small numbers hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:15.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:23.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:25.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:30.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:37.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:41.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 OK rf 8/2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:03:57.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (0+5)*-8 strategic 1 OK clt 0+5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:01.0 CYCLE CYCLE ES_02 ES_02-1 EG30 5*-8 strategic 1 OK mt 5*-8 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:07.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2(-6-3) strategic 1 OK clt -6-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:17.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -2*-9 strategic 1 OK mt -2*-9 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:27.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-4*-6 strategic 1 OK mt 4*-6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:30.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-(-24) strategic 1 OK clt -2-(-24) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:38.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -4*-8+9 strategic 1 OK mt -4*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:40.0 CYCLE CYCLE ES_02 ES_02-1 EG29 32+9 strategic 1 OK clt 32+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:45.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6(-8-4) strategic 1 OK clt -8-4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:48.0 CYCLE CYCLE ES_02 ES_02-1 EG31 -6*-12 strategic 1 OK mt -6*-12 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:54.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-5*-9 strategic 1 OK mt 5*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:04:57.0 CYCLE CYCLE ES_02 ES_02-1 EG28 7-(-45) strategic 1 OK clt 7-(-45) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:05.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7(-9-7) strategic 1 OK clt -9-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:10.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -16 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -7(-16) default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:29.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -7*-16 strategic 1 OK mt -7*-16 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 7*16 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:41.0 CYCLE CYCLE ES_02 ES_02-2 EG31 7*16 strategic 1 OK mt 7*16 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR 114 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:05:51.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 OK 112 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:01.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-9+3)*-7 strategic 1 OK clt -9+3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 BUG 6*-7 6*-7
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:13.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -66*-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:14.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -6*-7 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:21.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -6*-7 strategic 1 OK mt -6*-7 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:22.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 4 OK 42 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-4*4 strategic 1 OK mt 4*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 16 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:46.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -2-16 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:50.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -2-16 strategic 1 OK clt -2-16 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:06:55.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK -18 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:09:42.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-7+9)*4 strategic 1 OK clt -7+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:09:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 2*4 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:09:52.0 CYCLE CYCLE ES_02 ES_02-2 EG30 2*4 strategic 1 OK mt 2*4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:09:53.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:02.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+6*1 strategic 1 OK mt 6*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:06.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 2+6 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:09.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+6 strategic 1 OK clt 2+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 8 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:16.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1(3-3) strategic 1 OK clt 3-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:23.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -1*0 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:27.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -1*0 strategic 1 OK mt -1*0 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:36.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-5*1 strategic 1 OK mt 5*1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:47.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -10-5 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:51.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -10-5 strategic 1 OK clt -10-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:10:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -15 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-7-3)*-6 strategic 1 OK clt -7-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:11.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -10*-6 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:15.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -10*-6 strategic 1 OK mt -10*-6 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:17.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 60 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:28.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4-3*-1 strategic 1 OK mt 3*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 4--3 default_condition perform-mult-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 4+3 strategic 1 OK clt 4+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:39.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 7 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:52.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -33(16-19) = y strategic 1 OK clt 16-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:11:55.0 CYCLE CYCLE ES_02 ES_02-3 EG35C -33*-3 = y strategic 1 OK mt -33*-3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:03.0 CYCLE CYCLE ES_02 ES_02-3 EG34A (28-39)*28 = x strategic 1 OK clt 28-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:05.0 CYCLE CYCLE ES_02 ES_02-3 EG34A -11*28 = x strategic 1 OK mt -11*28 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:12.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -33-45*-18 = y strategic 1 OK mt 45*-18 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:14.0 CYCLE CYCLE ES_02 ES_02-3 EG32A -33-(-810) = y strategic 1 OK clt -33-(-810) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:21.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -1-3*-10 strategic 1 OK mt 3*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:23.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -1-(-30) strategic 1 OK clt -1-(-30) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:28.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (-5-8)*-3 = y strategic 1 OK clt -5-8 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:30.0 CYCLE CYCLE ES_02 ES_02-3 EG34 -13*-3 = y strategic 1 OK mt -13*-3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:37.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -8-1*4 strategic 1 OK mt 1*4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:39.0 CYCLE CYCLE ES_02 ES_02-3 EG32 x = -8-4 strategic 1 OK clt -8-4 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = (-28-19)*-2 strategic 1 OK clt -28-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:12:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -47*-2 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:13:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34A x = -47*-2 strategic 1 OK mt -47*-2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:13:04.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 94 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:13:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -41(-48-39) = y strategic 1 OK clt -48-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:13:21.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -41*-87 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:13:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -41*-87 = y strategic 1 OK mt -41*-87 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:14:19.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 3567 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:14:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -19(-20-34) = x strategic 1 OK clt -20-34 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:14:43.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -19*-54 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:14:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -19*-54 = x strategic 1 OK mt -19*-54 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:14:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 1026 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:06.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (9-32)*44 strategic 1 OK clt 9-32 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 OK -23*44 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:20.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = -23*44 strategic 1 OK mt -23*44 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:30.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK -1012 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -48(-24+35) = x strategic 1 OK clt -24+35 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -48*11 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35C -48*11 = x strategic 1 OK mt -48*11 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:15:58.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -528 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:08.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (-5-5)*8 = x strategic 1 OK clt -5-5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:11.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -10*8 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:15.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -10*8 = x strategic 1 OK mt -10*8 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:19.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -80 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:26.0 CYCLE CYCLE ES_02 ES_02-4 EG35 -8(-3+4) = x strategic 1 OK clt -3+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 OK -8*1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35 -8*1 = x strategic 1 OK mt -8*1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK -8 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:45.0 CYCLE CYCLE ES_02 ES_02-4 EG34C (-14-1)*17 = x strategic 1 OK clt -14-1 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:48.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 OK -15*17 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:16:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34C -15*17 = x strategic 1 OK mt -15*17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK -255 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (2-9)*-1 = y strategic 1 OK clt 2-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -7*-1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:18.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -7*-1 = y strategic 1 OK mt -7*-1 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:20.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 7 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:30.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = 48(-48-3) strategic 1 OK clt -48-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 48*-51 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:39.0 CYCLE CYCLE ES_02 ES_02-4 EG35C y = 48*-51 strategic 1 OK mt 48*-51 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -2448 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:17:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -21(-17-39) strategic 1 OK clt -17-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK -21*-56 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:12.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = -21*-56 strategic 1 OK mt -21*-56 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK 1176 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-27-19)*1 strategic 1 OK clt -27-19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:35.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -46*1 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -46*1 strategic 1 OK mt -46*1 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -46 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:52.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (-10+4)*5 = y strategic 1 OK clt -10+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:55.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -6*5 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:18:59.0 CYCLE CYCLE ES_02 ES_02-4 EG34 -6*5 = y strategic 1 OK mt -6*5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -30 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:13.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 19(-50-36) strategic 1 OK clt -50-36 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:17.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK 19*-86 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:24.0 CYCLE CYCLE ES_02 ES_02-4 EG35A y = 19*-86 strategic 1 OK mt 19*-86 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK -1634 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = (-21+19)*-22 strategic 1 OK clt -21+19 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:46.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -2*-22 default_condition combine-like-terms-whole-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34A y = -2*-22 strategic 1 OK mt -2*-22 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:19:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 44 default_condition perform-mult-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:03.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -10-10x strategic 1 OK add 10 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:08.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5+10 = -10-10x+10 strategic 1 OK clt -5+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -10-10x+10 strategic 1 OK clt -10-10x+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:15.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5 = -10x strategic 1 OK divide -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:21.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5/-10 = -10x/-10 strategic 1 OK rf 5/-10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -1/2 = -10x/-10 strategic 1 OK rf -10x/-10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:33.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+3y = -8 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1+3y-1 = -8-1 strategic 1 OK clt 1+3y-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = -8-1 strategic 1 OK clt -8-1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:47.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y = -9 strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 3y/3 = -9/3 strategic 1 OK rf 3y/3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:20:55.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -9/3 strategic 1 OK rf -9/3 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:05.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3 = -1-8x strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:10.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3+1 = -1-8x+1 strategic 1 OK clt -3+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -1-8x+1 strategic 1 OK clt -1-8x+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:23.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -2/-8 = -8x/-8 strategic 1 OK rf -2/-8 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:25.0 CYCLE CYCLE ES_02 ES_02-5 EG40 1/4 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x = -9 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:21:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x+7 = -9+7 strategic 1 OK typein -8x+7-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:00.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -7-8x+7 = -9+7 strategic 2 OK typein -9+7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x+7-7 = -9+7 strategic 1 OK clt -9+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 1 OK -2 default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x+7-7 = -2 strategic 1 OK clt -8x+7-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 FinalAnswer strategic 2 OK -8x default_condition combine-like-terms-sp hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x = -2 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:29.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = -2/-8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -8x/-8 = -2/-8 strategic 2 OK typein 1/4 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:48.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2 = -7y+6 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-6 = -7y+6-6 strategic 1 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:22:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 2-6 = -7y+6-6 strategic 2 OK typein -7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:04.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:07.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-7 = -7y/-7 strategic 1 OK typein 4/7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4/-7 = -7y/-7 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:25.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4 = -3y-7 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+7 = -3y-7+7 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:32.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -4+7 = -3y-7+7 strategic 2 OK typein -3y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:38.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -3y strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:42.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3y/-3 strategic 1 OK typein -1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/-3 = -3y/-3 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:23:55.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10-9 = 7 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:00.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10-9+9 = 7+9 strategic 1 OK clt y/10-9+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:04.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10 = 7+9 strategic 1 OK clt 7+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10 = 16 strategic 1 OK multiply 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/10*10 = 16*10 strategic 1 OK mt y/10*10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:17.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = 16*10 strategic 1 OK mt 16*10 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1 = y/-10+8 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:33.0 CYCLE CYCLE ES_02 ES_02-7 EG41 1-8 = y/-10+8-8 strategic 1 OK clt 1-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = y/-10+8-8 strategic 1 OK clt y/-10+8-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:41.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7 = y/-10 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:47.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -7*-10 = y/-10*-10 strategic 1 OK mt -7*-10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:24:50.0 CYCLE CYCLE ES_02 ES_02-7 EG41 70 = y/-10*-10 strategic 1 OK mt y/-10*-10 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:01.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+x/7 = -10 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1+x/7+1 = -10+1 strategic 1 OK clt -1+x/7+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = -10+1 strategic 1 OK clt -10+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:15.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7 = -9 strategic 1 OK multiply 7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:20.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/7*7 = -9*7 strategic 1 OK mt x/7*7 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:22.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = -9*7 strategic 1 OK mt -9*7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = x/-7+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-7 = x/-7+7-7 strategic 1 OK typein -14 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7-7 = x/-7+7-7 strategic 2 OK typein x/-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:48.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -14 = x/-7 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:52.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -14*-7 = x/-7*-7 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:25:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -14*-7 = x/-7*-7 strategic 2 OK typein 98 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:10.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = y/-5-2 strategic 1 OK add 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+2 = y/-5-2+2 strategic 1 OK typein 12 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10+2 = y/-5-2+2 strategic 2 OK typein y/-5 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12 = y/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*-5 = y/-5*-5 strategic 1 OK typein -60 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:28.0 CYCLE CYCLE ES_02 ES_02-8 EG41 12*-5 = y/-5*-5 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:35.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = -4+(x/-2) strategic 1 OK add 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+4 = -4+(x/-2)+4 strategic 1 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1+4 = -4+(x/-2)+4 strategic 2 OK typein x/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:50.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3 = x/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*-2 = x/-2*-2 strategic 1 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:26:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 3*-2 = x/-2*-2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/y = 4 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/y*y = 4y strategic 1 OK mt -6/y*y default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 4y strategic 1 OK divide 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:24.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/4 = 4y/4 strategic 1 OK rf -6/4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -3/2 = 4y/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = -4/y strategic 1 OK multiply y/-2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:51.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2y/-2 = (-4/y)*(y/-2) strategic 1 OK rf -2y/-2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = (-4/y)*(y/-2) strategic 1 OK mt (-4/y)*(y/-2) default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:27:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = -4/-2 strategic 1 OK rf -4/-2 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:11.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4 = 8/y strategic 1 OK multiply y/4 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = (8/y)*(y/4) strategic 1 OK mt (8/y)*(y/4) default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:19.0 CYCLE CYCLE ES_02 ES_02-9 EG44 4y/4 = 8/4 strategic 1 OK rf 4y/4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 y = 8/4 strategic 1 OK rf 8/4 default_condition hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -5/x = 2 strategic 1 OK multiply x/2 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (-5/x)*(x/2) = 2x/2 strategic 1 OK typein -5/2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:48.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (-5/x)*(x/2) = 2x/2 strategic 2 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:28:58.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y = 1 strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 1y strategic 1 OK typein 6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:05.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 1y strategic 2 BUG typein y Just multiply 1 by y. You can simplify in the next step. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:15.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6/y*y = 1y strategic 3 OK typein 1*y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 6 = 1y strategic 1 BUG mt 6 = 1y strategic You already solved the equation. y is 6. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:33.0 CYCLE CYCLE ES_02 ES_02-10 EG44 10/y = 6 strategic 1 OK multiply y/6 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (10/y)*(y/6) = 6y/6 strategic 1 OK typein 5/3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 t0fI2c7EMH session13 2006-01-18 06:29:42.0 CYCLE CYCLE ES_02 ES_02-10 EG44 (10/y)*(y/6) = 6y/6 strategic 2 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton b85X19F253--2--Algebra Part 1 tB4vqSxzqo session10 2005-10-07 14:09:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK Total Cost of scuba lessons default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:09:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:11:49.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time spent taking scuba lessons default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:11:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:11:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:11:59.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:12:01.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:12:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 192 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:12:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:12:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:13:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50x+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:19:29.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 70 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:19:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:19:34.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 60 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:19:42.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 ERROR 70 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:19:46.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 INITIAL_HINT 70 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:19:52.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 INITIAL_HINT 70 192.75 dollars is the given output value in this question, because it depends on time spent taking lessons. What value of time spent taking lessons does it take to output 192.75 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:20:20.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 6 NEXT_HINT You know that the expression 25.5X + 90.75 represents total cost of scuba lessons. What value of time spent taking lessons will make the general expression 25.5X + 90.75 output the given value of 192.75 dollars? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:20:26.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 7 NEXT_HINT Since the general expression for total cost of scuba lessons is 25.5X + 90.75 and since total cost of scuba lessons in this question is 192.75, set the two of them equal to find time spent taking lessons. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:20:30.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 8 NEXT_HINT Solve the equation 25.5X + 90.75 = 192.75. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session10 2005-10-07 14:21:46.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 9 ERROR 27 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:50:08.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:50:10.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:50:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 OK total cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:50:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:51:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50x+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:19.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:23.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:40.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:45.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 2 ERROR 192 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 3 BUG 192.75 192.75
You entered 192.75 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:54.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 4 BUG 192.75 192.75
You entered 192.75 in the wrong column. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:52:57.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 OK 192.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:53:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:54:50.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 5 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:55:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 OK 90 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:56:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C1 1 OK amount of carpet default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:56:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 1 BUG square yards of carpet square yards of carpet
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count SQUARE YARDS OF CARPET? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:56:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 2 BUG square yards of carpet square yards of carpet
Enter a unit of measurement, not a label describing a quantity. What unit would measure or count SQUARE YARDS OF CARPET? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:57:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C1 3 OK square yards default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:57:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:58:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 1 BUG total total
Total what? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:58:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R1C2 2 OK total cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:58:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:59:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R3C2 1 OK 12.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:59:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R4C1 1 OK 12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:59:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R5C1 1 OK 40.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:59:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C2 1 OK 388.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:59:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C2 1 OK 1036 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 13:59:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R6C1 1 OK 30 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:01:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36 R7C1 1 OK 80 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:03:57.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C1 1 OK amount of money spent default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:04:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:04:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R1C2 1 OK total number of points default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:06:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:10:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R3C2 1 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:10:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R4C1 1 OK 55 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:10:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 1 ERROR 27.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:10:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 2 ERROR 27.50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:11:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R5C1 3 OK 27.5*12 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:11:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C2 1 OK 46000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:11:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C2 1 OK 27000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:11:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 1 ERROR 3 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:12:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R6C1 2 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:12:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13C R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session11 2005-10-12 14:18:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C1 1 OK area of construction default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R1C2 1 OK cost default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 1 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R2C1 1 OK sq. ft default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 2 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:13:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R3C2 3 OK 39.5x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:14:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R4C1 1 OK 1750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:15:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 1 ERROR 85 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:16:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R5C1 2 OK 85+150 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:16:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C2 1 OK 177750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:16:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C2 1 OK 18762.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:16:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:17:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10A R7C1 1 OK 475 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:17:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:17:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R1C2 1 OK total distance default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:17:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C2 1 OK miles default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:18:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:18:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:18:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 BUG 1 3/4 1 3/4
You entered 0.75 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:18:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C2 1 ERROR .75 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:18:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 BUG .75 .75
You entered 0.75 in the wrong row. BUG default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session12 2005-10-13 14:18:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R6C1 1 OK .75 default_condition Find X, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:02:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 1 ERROR 1300*755x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:03:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 2 BUG -1300+775x -1300+775x
Think about what changes and what doesn't. How much does the total distance it has flown change for each hour of the time? BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:03:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R3C2 3 OK 775+1300x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:03:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R4C1 1 OK 1.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:03:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R5C1 1 OK .5 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:04:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C2 1 OK 3500 default_condition Find Y, positive slope Using large numbers Using simple numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:04:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 1 ERROR 2 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:05:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 2 ERROR 2.09 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:06:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 3 ERROR 2725 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:06:54.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 4 INITIAL_HINT 2725 Read the problem statement. What information is given in question 4 about the time? HINT 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:06:56.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 5 NEXT_HINT Important information about the time is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:07:46.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 6 NEXT_HINT Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:07:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 7 ERROR 1 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:08:01.0 HINT HINT CTA1_04 CTA1_04-2 BH1T31C R7C1 8 INITIAL_HINT 1 Type the time, measured in hours into the selected box in the worksheet window. HINT 3 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:09:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 1 BUG 3500=775+1300x 3500=775+1300x
Please check to make sure that 3500=775+1300x is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:09:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C ValidEquations 2 BUG 775+1300x=3500 775+1300X=3500
Please check to make sure that 775+1300X=3500 is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:09:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 775+1300X = 3500 strategic 1 OK subtract 775 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:09:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C 1300X = 2725 strategic 1 OK divide 1300 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:10:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31C R7C1 9 OK 109/52 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C2 1 OK students gettin a or b default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R1C1 1 OK students enrolled default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 1 BUG x X
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:39.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C2 1 BUG 500 500
You entered 500 in the wrong column. BUG default_condition Find Y, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R5C1 1 OK 120 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:53.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C2 1 OK 48 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:13:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C2 1 OK 9 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 2 ERROR x/15 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 3 ERROR .15/x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:13.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 4 INITIAL_HINT .15/x Enter an expression to calculate the number of students earning an A or B in Algebra using the number of students in algebra. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:15.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 5 NEXT_HINT What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:27.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 6 INITIAL_HINT .15/x What part of the number of students in algebra is the number of students earning an A or B in Algebra? How can you change a percentage to a decimal? HINT 2 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:29.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 7 NEXT_HINT Write an expression that means the same thing as percent of the number of students in algebra. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:14:36.0 HINT HINT CTA1_04 CTA1_04-2 PERCENT01A R3C2 8 NEXT_HINT To convert from a percent to a decimal, you divide by 100. So percent is the same as 0.15 HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:15:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R3C2 9 OK .15x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:15:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R6C1 1 OK 48/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:15:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 1 ERROR .15/9 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:15:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01A R7C1 2 OK 9/.15 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 1 ERROR # of ppl default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C1 2 OK number of people default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R1C2 1 OK cost of cakes default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 1 BUG x x
You entered X in the wrong column. BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R3C2 2 OK .75x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:21:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R4C1 1 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session13 2005-10-14 14:22:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R5C1 1 OK 80 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:51:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C2 1 OK 120 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:51:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C2 1 OK 36.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:51:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R6C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:52:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03C R7C1 1 OK 49 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R1C1 1 OK current pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R1C2 1 OK employees raise default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R3C2 1 ERROR .6x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R3C2 2 OK .06x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R4C1 1 OK 21500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:53:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R5C1 1 OK 48000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:54:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R6C2 1 OK 3300 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:54:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R7C2 1 OK 4815 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:54:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R6C1 1 OK 55000 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT04C R7C1 1 OK 80250 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C1 1 OK time worked default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R1C2 1 OK total pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R3C2 1 OK 10.5x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R4C1 1 OK 5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:55:52.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R5C1 1 OK 10.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:56:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R6C2 1 OK 550 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:56:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R7C2 1 OK 2200 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:58:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R6C1 1 ERROR 52.571 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:59:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R6C1 2 OK 550/10.5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 13:59:27.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02 R7C1 1 OK 2200/10.5 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:01:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C1 1 OK gross pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:01:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:01:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:01:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R1C2 1 OK take-home pay default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R3C2 1 OK .65x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R4C1 1 OK 3000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R5C1 1 OK 40000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C2 1 OK 3250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:29.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C2 1 OK 1673.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R6C1 1 OK 3250/.65 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:02:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT05B R7C1 1 OK 1673.75/.65 default_condition Find X, Simple Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:04:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R1C1 1 OK time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:04:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C1 1 ERROR ours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:04:38.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C1 2 BUG hours HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:04:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C1 3 OK seconds default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:04:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:05:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R1C2 1 OK total distance default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R3C2 1 OK 100+2.9x default_condition Using difficult numbers Using large numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R4C1 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R5C1 1 OK 60*4 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C2 1 BUG 1927 1927
You entered 1,927 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C2 2 BUG 1927 1927
You entered 1,927 in the wrong row. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R7C2 1 OK 1927 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:06:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C2 3 OK 5000 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:07:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R6C1 1 OK 1689.655 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:07:58.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T32 R7C1 1 OK 630 default_condition Find X, positive slope Using difficult numbers Using large numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK number of snow cones default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK profit default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 OK -60+1.5x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:09:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:10:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:10:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:12:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C1 1 OK length of the cell phone call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:12:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:12:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R1C2 1 OK total cost of the call default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:12:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 1 BUG 3.5+.75x 3.5+.75x
You entered 3.50+0.75X in the wrong row. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:13:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 2 BUG 3.5+.75x 3.5+.75x
You entered 3.50+0.75X in the wrong row. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:13:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 1 ERROR 3.5+75x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:13:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R2C2 3 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:13:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C2 2 OK 3.5+.75x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:14:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:14:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R4C1 1 OK 5 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:15:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R5C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:15:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C2 1 OK 17 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:15:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C2 1 OK 32.75 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:15:23.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R6C1 1 OK 18 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:15:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 1 ERROR 38.8446 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:15:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01B R7C1 2 OK 39 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 OK cost of the items default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 ERROR zx default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 2 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:28.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 BUG total total
Total what? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:34.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 2 BUG total cost total cost
You're close. How about the total cost of the order? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 3 OK the total cost of the order default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dolalrs default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:16:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 ERROR -25+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:17:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 ERROR 25+.25c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:17:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 ERROR 25+.25c default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:17:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 ERROR 25+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:17:18.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 INITIAL_HINT 25+.25x Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:18:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 ERROR -25+.25/x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:18:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 ERROR 25-.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:18:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 8 BUG 25 25
The total cost of the order starts at 25. How does it increase as X increases? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:18:39.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 9 INITIAL_HINT 25 Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:18:41.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 10 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:18:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 11 ERROR 25+.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:00.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 12 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 13 ERROR 25-.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:24.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 14 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:41.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 15 OK 25+x-.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 ERROR 50 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:19:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 2 OK 150 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:20:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:20:11.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:20:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 ERROR 825 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:20:51.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R6C1 2 INITIAL_HINT 825 231.25 dollars is the given output value in this question, because it depends on the cost of the items. What value of the cost of the items does it take to output 231.25 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:20:52.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R6C1 3 NEXT_HINT You know that the expression 0.75X + 25 represents the total cost of the order. What value of the cost of the items will make the general expression 0.75X + 25 output the given value of 231.25 dollars? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:20:58.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R6C1 4 NEXT_HINT Since the general expression for the total cost of the order is 0.75X + 25 and since the total cost of the order in this question is 231.25, set the two of them equal to find the cost of the items. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:21:04.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R6C1 5 NEXT_HINT Solve the equation 0.75X + 25 = 231.25. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:21:26.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 6 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:21:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:22:01.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C1 1 OK phone time used next month default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:22:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R2C1 1 OK minutes default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session14 2005-10-19 14:22:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:45:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C2 1 OK amount of the next bill default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:45:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R2C2 1 OK dollars default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:47:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 1 ERROR 6.79-.27x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:47:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 2 BUG 6.79+.27x 6.79+.27x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:48:04.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 3 OK -6.79+.27x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:48:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R4C1 1 OK 100 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:48:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R5C1 1 OK 29 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:48:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R6C2 1 OK 60.71 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:49:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C2 1 OK 30 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:58:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R6C1 1 OK 250 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:59:22.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 1 ERROR 136.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:59:45.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 2 BUG 136 136
136 is close to the right answer but not correct. Instead of guessing, try to calculate an answer by unwinding. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 13:59:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 3 ERROR 136.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:00:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 4 ERROR 136.2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:00:59.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15C R7C1 5 INITIAL_HINT 136.2 30 dollars is the given output value in this question, because it depends on the cellular phone time used next month. What value of the cellular phone time used next month does it take to output 30 dollars? HINT 1 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:01:01.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15C R7C1 6 NEXT_HINT You know that the expression 0.27X - 6.79 represents balance on the next bill. What value of the cellular phone time used next month will make the general expression 0.27X - 6.79 output the given value of 30 dollars? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:01:11.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15C R7C1 7 NEXT_HINT Since the general expression for balance on the next bill is 0.27X - 6.79 and since balance on the next bill in this question is 30, set the two of them equal to find the cellular phone time used next month. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:01:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 8 BUG 104.32 104.32
Subtract the initial value, -6.79, from the total amount 30 before you do the division. BUG default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:01:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 9 ERROR 85.96 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:02:01.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15C R7C1 10 NEXT_HINT Solve the equation 0.27X - 6.79 = 30. HINT 4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:03:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 11 ERROR 13.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:03:49.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15C R7C1 12 INITIAL_HINT 13.25 Solve the equation 0.27X - 6.79 = 30. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:04:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 13 ERROR 13.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:04:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 14 ERROR 136.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:04:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 15 ERROR 140 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:04:31.0 HINT HINT CTA1_04 CTA1_04-3 L2FB15C R7C1 16 INITIAL_HINT 140 Solve the equation 0.27X - 6.79 = 30. HINT 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:04:55.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 17 ERROR 136.2 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:04:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 18 ERROR 136.25 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:05:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 1 OK 0.27x-6.79=30 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:05:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 2 OK 0.27X-6.79=30 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:05:48.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C 0.27X-6.79 = 30 strategic 1 OK add 6.79 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:05:56.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C 0.27X = 36.79 strategic 1 OK divide .27 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:06:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 19 OK 136.2593 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 1 BUG hours hours
HOURS is a unit used to measure something in this problem. Try using a more descriptive phrase. What is measured in hours? BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C1 2 OK number of hours default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C1 1 OK hours default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 1 BUG temp of liquid temp of liquid
Try the temperature of the liquid. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R1C2 2 OK temperature of liquid default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:09:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 1 BUG degrees degrees
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:10:08.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R2C2 2 OK degrees celsius default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:12:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R3C2 1 OK -28-3.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:12:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R4C1 1 OK 24 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:12:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R5C1 1 OK 10 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:13:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C2 1 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:13:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 1 BUG 84 84
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:13:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C2 2 OK -84 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:14:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 1 ERROR 9.5 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:14:06.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 2 ERROR 9 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:14:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 1 BUG -28-3.5x=y -28-3.5x=y
Please check to make sure that -28-3.5x=y is an appropriate equation to solve. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 2 OK -84=-28-3.5x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 3 OK -84=-28-3.5X default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -84 = -28-3.5X strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B -56 = -3.5X strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:39.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 3 BUG 16 16
You entered 16 in the wrong row. BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R7C1 1 OK 16 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B ValidEquations 4 OK 0=-28-3.5X default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:15:57.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B 0 = -28-3.5X strategic 1 OK add 28 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:16:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B 28 = -3.5X strategic 1 OK divide -3.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:16:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04B R6C1 4 OK -8 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:27.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 2 OK month default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK depth of mine default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:17:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 ERROR 1225+12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:18:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 2 BUG 1225-12x 1225-12x
Does the depth of the mine start at a positive number of feet or a negative number of feet? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:18:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 3 BUG -1225+12x -1225+12x
Does the depth of the mine go up or down when the digging time increases? BUG default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:18:42.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 4 OK -1225-12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:18:49.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 ERROR 10 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:18:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 2 ERROR 100 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:18:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 3 ERROR 10 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 4 OK 10*12 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 BUG 12*3 12*3
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:26.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 2 OK -12*3 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 1 ERROR 1225 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 2 ERROR -1225 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 BUG 1705 1705
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:19:54.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 OK -1705 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session15 2005-10-21 14:20:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 3 ERROR -1225 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:45:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C1 1 OK digging time default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:45:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 1 BUG hours hours
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:45:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 2 BUG years years
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:45:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C1 3 OK months default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:45:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C1 1 OK x default_condition Define Variable hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:45:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R1C2 1 OK depth of the mine default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:46:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 1 ERROR -1225+12x default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:46:20.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 2 ERROR 1225+12x default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:46:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 3 BUG -1225+-12x -1225+-12x
You entered -1,225-12X in the wrong row. BUG default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R3C2 1 OK -1225+-12x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:05.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R2C2 4 OK feet default_condition Identifying units hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 1 ERROR 10 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 2 ERROR 100 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 3 ERROR 1000 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:16.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 4 INITIAL_HINT 1000 Enter the value for question 1 in months. HINT 1 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:18.0 HINT HINT CTA1_04 CTA1_04-4 BH1T47A R4C1 5 NEXT_HINT You know that the digging time is one decade. Convert one decade to months. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:23.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R4C1 6 OK 12*10 default_condition Convert unit, standard Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 1 BUG 12*3 12*3
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:36.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R5C1 2 OK -12*3 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 1 ERROR 1225 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:44.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C2 2 OK 0 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 1 BUG 1705 1705
Think about the sign of your answer. BUG default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:47:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C2 2 OK -1705 default_condition Entering a given hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:49:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 1 BUG 12/-1225 12/-1225
What is the y-intercept and what is the slope in this equation -12 or -1225? Which number do you need to divide by when you unwind? BUG default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:49:22.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R6C1 2 OK -1225/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:49:30.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 1 ERROR -1705/12 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 1 OK -1705=-1225-12x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:49:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A ValidEquations 2 OK -1705=-1225-12X default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:50:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -1705 = -1225-12X strategic 1 OK add 1225 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:50:13.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -480 = -12X strategic 1 BUG divide 12 In this equation, X is multiplied by -12. Dividing by 12 leaves -X, so you still need to remove the negative sign. It is better to divide by -12, since that would leave X. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:50:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A -480 = -12X strategic 2 OK divide -12 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:51:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47A R7C1 2 OK 40 default_condition Find X, negative slope Using simple numbers Using small numbers hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:55:45.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:55:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:56:09.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:56:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:56:50.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 ERROR clt 2y/2 = 8/2 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:59:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 2 OK rf 2y/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:59:51.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 1 BUG rds y = 8/2 strategic You already solved the equation. y is 8/2. BUG default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 13:59:57.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED y = 8/2 strategic 2 OK rf 8/2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:00:32.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-8-1)*-4 strategic 1 OK clt -8-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:00:35.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -9*-4 strategic 1 OK mt -9*-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:01:13.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2(7+2) strategic 1 OK clt 7+2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:01:15.0 CYCLE CYCLE ES_02 ES_02-1 EG31 2*9 strategic 1 OK mt 2*9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:01:40.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -3*-1+6 strategic 1 OK mt -3*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:01:43.0 CYCLE CYCLE ES_02 ES_02-1 EG29 3+6 strategic 1 OK clt 3+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:00.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-10*-2 strategic 1 ERROR clt -6-10*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:05.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-10*-2 strategic 2 OK mt 10*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:07.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -6-(-20) strategic 1 OK clt -6-(-20) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:17.0 CYCLE CYCLE ES_02 ES_02-1 EG29 8*-7+1 strategic 1 OK mt 8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:19.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -56+1 strategic 1 OK clt -56+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:36.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2+0*-9 strategic 1 OK mt 0*-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:39.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2+0 strategic 1 OK clt 2+0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:45.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+6*-4 strategic 1 OK mt 6*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:47.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -9+(-24) strategic 1 OK clt -9+(-24) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:03:56.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (8-1)*-5 strategic 1 ERROR mt (8-1)*-5 strategic default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:04:26.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (8-1)*-5 strategic 2 OK clt 8-1 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:04:29.0 CYCLE CYCLE ES_02 ES_02-1 EG30 7*-5 strategic 1 OK mt 7*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:04:40.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8(-4-7) strategic 1 OK clt -4-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:04:43.0 CYCLE CYCLE ES_02 ES_02-1 EG31 8*-11 strategic 1 OK mt 8*-11 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:04:56.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-1-3)*-5 strategic 1 OK clt -1-3 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:04:58.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -4*-5 strategic 1 OK mt -4*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:19.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2(-9+8) strategic 1 OK clt -9+8 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:26.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR 1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:35.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 4 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:44.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 5 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 6 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 7 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 8 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 9 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 10 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 11 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:07:46.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 12 ERROR -1 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:13:21.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 13 OK 2(-1) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:13:25.0 CYCLE CYCLE ES_02 ES_02-2 EG31 2*-1 strategic 1 OK mt 2*-1 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:13:31.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 14 OK -2 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:13:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (1-2)*-6 strategic 1 OK clt 1-2 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:13:48.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -1*-6 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:16:37.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -1*-6 strategic 1 OK mt -1*-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:16:39.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR -6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:16:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK 6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:17:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 1 ERROR clt 2-5*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:17:48.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 2 OK mt 5*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:17:56.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR -3*-2 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:20:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 3 ERROR clt 2-5*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:20:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 4 OK mt 5*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:20:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR 6 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:20:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 5 ERROR rf 2-5*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:20:42.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 6 ERROR clt 2-5*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:20:55.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2-5*-2 strategic 7 OK mt 5*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 2-(-10) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:17.0 CYCLE CYCLE ES_02 ES_02-2 EG28 2+10 strategic 1 OK clt 2+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 OK 12 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:27.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -5*-9+9 strategic 1 OK mt -5*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:33.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 45+9 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:37.0 CYCLE CYCLE ES_02 ES_02-2 EG29 45+9 strategic 1 OK clt 45+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session16 2005-10-26 14:21:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 54 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:09:24.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2(-1+4) strategic 1 OK clt -1+4 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:09:33.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -2(3) default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:09:39.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -2*3 strategic 1 OK mt -2*3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:09:43.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 OK -6 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:04.0 CYCLE CYCLE ES_02 ES_02-2 EG29 3*-4-5 strategic 1 OK mt 3*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -12-5 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:21.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -12-5 strategic 1 OK clt -12-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:25.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -17 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:33.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-2-6)*8 strategic 1 OK clt -2-6 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -8*8 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:44.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -8*8 strategic 1 OK mt -8*8 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:10:59.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 ERROR 64 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:11:06.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 3 OK -64 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:11:32.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*-5 strategic 1 ERROR clt -6-2*-5 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:11:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6-2*-5 strategic 2 OK mt 2*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:11:49.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -6-10 -6-10
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:11:58.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK -6-(-10) default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:12:05.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -6+10 strategic 1 OK clt -6+10 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:12:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 4 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:12:26.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6+4*-2 strategic 1 OK mt 4*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:13:14.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK 6+-8 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:13:41.0 CYCLE CYCLE ES_02 ES_02-2 EG29 6-8 strategic 1 OK clt 6-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:13:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -2 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:13:54.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9-6*-5 strategic 1 OK mt 6*-5 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:03.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 BUG -9-(30) -9-(30)
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:07.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 BUG -9-30 -9-30
You forgot to include the negative sign in your calculations. BUG default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:14.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -9--30 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -9+30 strategic 1 OK clt -9+30 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:24.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 4 ERROR 31 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:34.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 5 OK 21 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:42.0 CYCLE CYCLE ES_02 ES_02-2 EG29 5*-4+9 strategic 1 OK mt 5*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:52.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -20+9 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:14:58.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -20+9 strategic 1 OK clt -20+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -11 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:20.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6-2*-10 strategic 1 OK mt 2*-10 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK 6--20 default_condition perform-mult-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 6+20 strategic 1 OK clt 6+20 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:41.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 26 default_condition combine-like-terms-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:51.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 7(-26+12) = x strategic 1 OK clt -26+12 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:15:55.0 CYCLE CYCLE ES_02 ES_02-3 EG35B 7*-14 = x strategic 1 OK mt 7*-14 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:16:05.0 CYCLE CYCLE ES_02 ES_02-3 EG34 (7-3)*9 = y strategic 1 OK clt 7-3 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:16:08.0 CYCLE CYCLE ES_02 ES_02-3 EG34 4*9 = y strategic 1 OK mt 4*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:16:25.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -31*19+38 strategic 1 OK mt -31*19 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:16:28.0 CYCLE CYCLE ES_02 ES_02-3 EG33C y = -589+38 strategic 1 OK clt -589+38 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:16:39.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 14+27*-2 = x strategic 1 ERROR clt 14+27*-2 = x strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:16:45.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 14+27*-2 = x strategic 2 OK mt 27*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:00.0 CYCLE CYCLE ES_02 ES_02-3 EG32A 14+(-54) = x strategic 1 OK clt 14+(-54) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:23.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -5-5*3 strategic 1 OK mt 5*3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:27.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -5-15 strategic 1 OK clt -5-15 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:35.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -3*-4-7 strategic 1 OK mt -3*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:38.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = 12-7 strategic 1 OK clt 12-7 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:43.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = 18(-49+33) strategic 1 OK clt -49+33 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:46.0 CYCLE CYCLE ES_02 ES_02-3 EG35C x = 18*-16 strategic 1 OK mt 18*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:17:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-50-22)*9 = x strategic 1 OK clt -50-22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 ERROR -28*9 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:31.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 BUG 72*9 72*9
You forgot to include the negative sign in your calculations. BUG default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 3 OK -72*9 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-50-22)*9 = x strategic 2 ERROR mt (-50-22)*9 = x strategic default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-50-22)*9 = x strategic 3 OK clt -50-22 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:46.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 4 OK -72*9 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:18:51.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -72*9 = x strategic 1 OK mt -72*9 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:19:10.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 5 ERROR 768 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:19:25.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 6 OK -648 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:19:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -19(-2+5) = x strategic 1 OK clt -2+5 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:19:46.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -19*3 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:19:53.0 CYCLE CYCLE ES_02 ES_02-4 EG35A -19*3 = x strategic 1 OK mt -19*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:20:05.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK -57 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:20:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34 (6-2)*-5 = y strategic 1 OK clt 6-2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:20:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK 4*-5 default_condition combine-like-terms-whole-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:20:44.0 CYCLE CYCLE ES_02 ES_02-4 EG34 4*-5 = y strategic 1 ERROR clt 4*-5 = y strategic default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:20:47.0 CYCLE CYCLE ES_02 ES_02-4 EG34 4*-5 = y strategic 2 OK mt 4*-5 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:20:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK -20 default_condition perform-mult-sp hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session17 2005-10-28 14:21:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -8+7y = -1 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:09.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-3y = -6 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3-3y+3 = -6+3 strategic 1 OK clt -3-3y+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = -6+3 strategic 1 OK clt -6+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:26.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y = -3 strategic 1 OK divide -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:31.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y/-3 = -3/-3 strategic 1 ERROR clt -3y/-3 = -3/-3 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:38.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -3y/-3 = -3/-3 strategic 2 OK rf -3y/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:46:42.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = -3/-3 strategic 1 OK rf -3/-3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2 = 6+6x strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:11.0 CYCLE CYCLE ES_02 ES_02-5 EG40 2-6 = 6+6x-6 strategic 1 OK clt 2-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:13.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 6+6x-6 strategic 1 OK clt 6+6x-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:18.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/6 = 6x/6 strategic 1 OK rf 6x/6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4/6 = x strategic 1 OK rf -4/6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+5x = -2 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:43.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -7+5x+7 = -2+7 strategic 1 OK clt -7+5x+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = -2+7 strategic 1 OK clt -2+7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:52.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x = 5 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:47:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 5x/5 = 5/5 strategic 1 OK rf 5x/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 x = 5/5 strategic 1 OK rf 5/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9 = 8x+1 strategic 1 OK subtract 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:18.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-1 = 8x+1-1 strategic 1 OK typein 8x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 9-1 = 8x+1-1 strategic 2 OK typein 8 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:28.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8 = 8x strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:33.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8/8 = 8x/8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:36.0 CYCLE CYCLE ES_02 ES_02-6 EG40 8/8 = 8x/8 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:44.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5 = 8y-1 strategic 1 OK add 1 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+1 = 8y-1+1 strategic 1 OK typein 8y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:51.0 CYCLE CYCLE ES_02 ES_02-6 EG40 5+1 = 8y-1+1 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:48:57.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = 8y strategic 1 OK divide 8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:02.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/8 = 8y/8 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:17.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/8 = 8y/8 strategic 2 OK typein .75 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:30.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3 = -2y-9 strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:35.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+9 = -2y-9+9 strategic 1 OK typein -2y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:39.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -3+9 = -2y-9+9 strategic 2 OK typein 6 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:50.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6 = -2y strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-2 = -2y/-2 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:49:56.0 CYCLE CYCLE ES_02 ES_02-6 EG40 6/-2 = -2y/-2 strategic 2 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5-6 = -9 strategic 1 OK add 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:21.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5-6+6 = -9+6 strategic 1 OK clt y/5-6+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = -9+6 strategic 1 OK clt -9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:30.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = -9+6 strategic 2 OK clt -9+6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5 = -3 strategic 1 OK multiply 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:46.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5*5 = -3*5 strategic 1 OK mt -3*5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5*5 = -15 strategic 1 ERROR rf y/5*5 = -15 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:50:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/5*5 = -15 strategic 2 OK mt y/5*5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:02.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4-8 = 3 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4-8+8 = 3+8 strategic 1 OK clt x/4-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4 = 3+8 strategic 1 ERROR mt x/4 = 3+8 strategic default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:13.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4 = 3+8 strategic 2 OK clt 3+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4 = 11 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:24.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/4*4 = 11*4 strategic 1 OK mt x/4*4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:26.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 11*4 strategic 1 OK mt 11*4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:35.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1 = x/-5+3 strategic 1 OK subtract 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -1-3 = x/-5+3-3 strategic 1 OK clt -1-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:43.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/-5+3-3 strategic 1 OK clt x/-5+3-3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:49.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4 = x/-5 strategic 1 OK multiply -5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:53.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -4*-5 = x/-5*-5 strategic 1 OK mt -4*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:51:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 20 = x/-5*-5 strategic 1 OK mt x/-5*-5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:52:13.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-10) = 0 strategic 1 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:52:21.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0*-10 strategic 1 ERROR typein 4+y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:52:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0*-10 strategic 2 OK typein 0 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:53:04.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0*-10 strategic 3 ERROR typein 40+y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:53:12.0 HINT HINT ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0*-10 strategic 4 INITIAL_HINT default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:53:15.0 HINT HINT ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0*-10 strategic 5 NEXT_HINT Type in (4+(y/-10))*-10 on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:53:55.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0*-10 strategic 6 OK typein (4+(y/-10))*(-10) default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:54:00.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0 strategic 1 ERROR mt (4+(y/-10))*-10 = 0 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:54:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0 strategic 2 ERROR clt (4+(y/-10))*-10 = 0 strategic default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:54:25.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10 = 0 strategic 3 OK divide -10 default_condition [SkillRule: Eliminate Parens; {[var expr]/[const expr] = [const expr], multiply; [var expr]*[const expr] = [const expr], divide}] [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:54:42.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10/-10 = 0/-10 strategic 1 ERROR typein -10 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:54:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10/-10 = 0/-10 strategic 2 OK typein 0 default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:54:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10/-10 = 0/-10 strategic 3 ERROR typein 4y default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:55:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 (4+(y/-10))*-10/-10 = 0/-10 strategic 4 ERROR typein 4+y default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:55:09.0 HINT HINT ES_02 ES_02-8 EG41 (4+(y/-10))*-10/-10 = 0/-10 strategic 5 INITIAL_HINT default_condition [SkillRule: Calculate Eliminate Parens; [Typein Skill: Eliminate Parens]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:55:11.0 HINT HINT ES_02 ES_02-8 EG41 (4+(y/-10))*-10/-10 = 0/-10 strategic 6 NEXT_HINT Type in (4+(y/-10))*-10/-10 on the left. HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:11.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-10) = 0 strategic 2 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-10)-4 = 0-4 strategic 1 OK typein (y/-10) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:26.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-10)-4 = 0-4 strategic 2 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10 = -4 strategic 1 ERROR mt y/-10 = -4 strategic default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10 = -4 strategic 2 OK multiply -10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10*-10 = -4*-10 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-10*-10 = -4*-10 strategic 2 OK typein 40 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:57:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+(y/-9) = 8 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+(y/-9)-7 = 8-7 strategic 1 OK typein (y/-9) default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+(y/-9)-7 = 8-7 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-9 = 1 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-9*-9 = 1*-9 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-9*-9 = 1*-9 strategic 2 BUG typein 9 You are multiplying a positive by a negative. The result should be negative. BUG default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-9*-9 = 1*-9 strategic 3 OK typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:33.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8 = x/-3+4 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-4 = x/-3+4-4 strategic 1 OK typein x/-3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 8-4 = x/-3+4-4 strategic 2 OK typein 4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:51.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4 = x/-3 strategic 1 OK multiply -3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:58:54.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*-3 = x/-3*-3 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:05.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4*-3 = x/-3*-3 strategic 2 OK typein -12 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:15.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/4 = -7 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/4+3 = -7+3 strategic 1 OK typein x/4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:24.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -3+x/4+3 = -7+3 strategic 2 OK typein -4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4 = -4 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:31.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -4*4 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 x/4*4 = -4*4 strategic 2 OK typein -16 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 13:59:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 8/x strategic 1 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:00:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 8/x strategic 2 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:00:14.0 HINT HINT ES_02 ES_02-9 EG44 -4 = 8/x strategic 3 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:00:41.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 8/x strategic 4 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:00:54.0 HINT HINT ES_02 ES_02-9 EG44 -4 = 8/x strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:00:55.0 HINT HINT ES_02 ES_02-9 EG44 -4 = 8/x strategic 6 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:01.0 HINT HINT ES_02 ES_02-9 EG44 -4 = 8/x strategic 7 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:10.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4 = 8/x strategic 8 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = 8/x*x strategic 1 OK mt 8/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x = 8 strategic 1 OK divide -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -4x/-4 = 8/-4 strategic 1 OK rf -4x/-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:34.0 CYCLE CYCLE ES_02 ES_02-9 EG44 x = 8/-4 strategic 1 OK rf 8/-4 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:44.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = 5 strategic 1 ERROR divide y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y = 5 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:53.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/y*y = 5y strategic 1 OK mt -5/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:01:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5 = 5y strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/5 = 5y/5 strategic 1 OK rf -5/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -1 = 5y/5 strategic 1 OK rf 5y/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/x = -9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:25.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/x*x = -9x strategic 1 OK mt 5/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 5/-9 = -9x/-9 strategic 1 OK rf 5/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:38.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -5/9 = -9x/-9 strategic 1 OK rf -9x/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = 5 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:02:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = 5x strategic 1 OK mt 8/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:03.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = 5x strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/5 = 5x/5 strategic 1 OK rf 5x/5 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:15.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/5 = x strategic 1 BUG rf 8/5 = x strategic You already solved the equation. x is 8/5. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -6 strategic 1 ERROR mt 7/y = -6 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:40.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y = -6 strategic 2 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/y*y = -6y strategic 1 OK mt 7/y*y default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7 = -6y strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:03:56.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/-6 = -6y/-6 strategic 1 OK rf -6y/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:04:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 7/-6 = y strategic 1 OK rf 7/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:04:12.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -7/6 = y strategic 1 BUG rf -7/6 = y strategic You already solved the equation. y is -7/6. BUG default_condition [SkillRule: Done?; {doneleft; doneright; done no solution; Done No Solution, domain exception; Done No Solution, range exception; done infinite solutions}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:04:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x = -6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:04:55.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/x*x = -6x strategic 1 OK mt 2/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:00.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2 = -6x strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-6 = -6x/-6 strategic 1 OK rf -6x/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:08.0 CYCLE CYCLE ES_02 ES_02-9 EG44 2/-6 = x strategic 1 OK rf 2/-6 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:18.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x = -9 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:21.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/x*x = -9x strategic 1 OK mt -10/x*x default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:27.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10 = -9x strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-9 = -9x/-9 strategic 1 ERROR clt -10/-9 = -9x/-9 strategic default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:36.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-9 = -9x/-9 strategic 2 OK rf -9x/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -10/-9 = x strategic 1 OK rf -10/-9 default_condition hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:05:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = 5/x strategic 1 BUG multiply 5 To remove the coefficient of 5/x, you need to divide. Erase your last step and then divide both sides by 5. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = 5/x strategic 2 ERROR divide 5 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:18.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8 = 5/x strategic 3 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = 5/x*x strategic 1 OK typein -8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:34.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = 5/x*x strategic 2 OK typein 5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:41.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x = 5 strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = 5/-8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:06:56.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = 5/-8 strategic 2 ERROR typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -8x/-8 = 5/-8 strategic 3 OK typein 5/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9 = -5/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -5/x*x strategic 1 OK typein 9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -5/x*x strategic 2 OK typein -5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x = -5 strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:29.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = -5/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:38.0 CYCLE CYCLE ES_02 ES_02-10 EG44 9x/9 = -5/9 strategic 2 OK typein -5/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:49.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5 = -8/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:52.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = -8/x*x strategic 1 OK typein 5x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:07:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = -8/x*x strategic 2 OK typein -8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:08:14.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x = -8 strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:08:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x/5 = -8/5 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE tB4vqSxzqo session18 2005-11-09 14:08:19.0 CYCLE CYCLE ES_02 ES_02-10 EG44 5x/5 = -8/5 strategic 2 OK typein -8/5 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton 2gigk7Ci3l--Period 8--Algebra I Part 2 TE z9svx3mA4s session4 2005-09-23 08:38:52.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C1 1 OK time default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:38:58.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:09.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 1 BUG cost of scuba lessens cost of scuba lessens
Try total cost of scuba lessons. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:16.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R1C2 2 OK total cost of scuba lessons default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:20.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 1 ERROR dolas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R2C2 2 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:44.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 1 BUG x x
You entered X in the wrong row. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:48.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 1 ERROR x default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:39:51.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:40:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R3C2 1 OK 25.50x+90.75 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:40:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R4C1 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:40:17.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R5C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:40:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 1 ERROR 192 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:40:32.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C2 2 OK 192.75 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:40:39.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C2 2 OK 2385.75 default_condition Find Y, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:41:02.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 1 OK 192.75=25.5x+90.75 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:41:03.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 2 OK 192.75=25.5X+90.75 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:41:15.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 192.75 = 25.5X+90.75 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:41:28.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 7.55882353 = X+3.55882353 strategic 1 OK subtract 3.5588 default_condition [SkillRule: Isolate positive; x+a=b, positive] [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:41:31.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R6C1 1 OK 4 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:41:41.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 3 BUG 2385.75=25.5X+90.75 2385.75=25.5X+90.75
Please check to make sure that 2385.75=25.5X+90.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:42:11.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 4 BUG 2385.75=25.5x+90.75 2385.75=25.5X+90.75
Please check to make sure that 2385.75=25.5X+90.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:42:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 5 BUG 2385.75=25.5x+90.75 2385.75=25.5X+90.75
Please check to make sure that 2385.75=25.5X+90.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:42:55.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR ValidEquations 6 BUG 25.5x+90.75=2385.75 25.5X+90.75=2385.75
Please check to make sure that 25.5X+90.75=2385.75 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:42:59.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 2385.75 strategic 1 INITIAL_HINT default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:43:00.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 2385.75 strategic 2 NEXT_HINT 90.75 is the constant value on the left side. What can you do to both sides of the equation to eliminate the 90.75 (make it zero)? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:43:09.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 2 INITIAL_HINT x Read the problem statement. What information is given in question 4 about time spent taking lessons? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:43:11.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 3 NEXT_HINT Important information about time spent taking lessons is highlighted for you in question 4 of the problem statement. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:43:16.0 HINT HINT CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 4 NEXT_HINT Type time spent taking lessons, measured in hours into the selected box in the worksheet window. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:44:18.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X+90.75 = 2385.75 strategic 3 OK add -90.75 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:44:24.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR 25.5X = 2295 strategic 1 OK divide 25.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:44:26.0 CYCLE CYCLE CTA1_04 CTA1_04-1 LDEMO_WSLVR R7C1 5 OK 90 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:45:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C1 1 OK the ammount of carpet default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:45:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C1 1 OK square yards default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:45:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 1 BUG total total
Total what? BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:45:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R1C2 2 OK cost default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:45:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 1 ERROR dolas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:45:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R2C2 2 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:46:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:46:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R3C2 1 OK 13.95x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:46:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R4C1 1 OK 13 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:46:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R5C1 1 OK 30.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:46:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C2 1 OK 279 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:46:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C2 1 OK 558 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:47:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 1 OK 13.95x=279 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:48:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 2 OK 13.95X=279 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:49:18.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95X = 279 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:49:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R6C1 1 OK 20 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:49:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A ValidEquations 3 OK 13.95X=558 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:49:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A 13.95X = 558 strategic 1 OK divide 13.95 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:49:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T36A R7C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:06.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C1 1 OK the ammount of money default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 1 ERROR dolas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:13.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R2C1 2 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 1 BUG points points
The quantity is measured in points, but you should use a more complete phrase. Try total number of travel points. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R1C2 2 OK total number of points default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:47.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 BUG x X
You entered X in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:50:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 2 BUG x X
You entered X in the wrong column. BUG default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:54:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R3C2 1 OK 5000+5x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session4 2005-09-23 08:55:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R4C1 1 OK 50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:17:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 1 ERROR 27.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:18:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 2 ERROR 27.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:18:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 3 ERROR 27 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:18:33.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 4 INITIAL_HINT 27 Read the problem statement. What information is given in question 2 about the amount spent on long distance? HINT 1 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:18:36.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 5 NEXT_HINT Type the amount spent on long distance, measured in dollars into the selected box in the worksheet window. HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:18:40.0 HINT HINT CTA1_04 CTA1_04-2 REAL13B R5C1 6 NEXT_HINT In question 2, the amount spent on long distance is 330 dollars. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:18:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R5C1 7 OK 330 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:19:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C2 1 OK 46000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:19:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 1 OK 46000=5000+5x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:19:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 2 OK 46000=5000+5X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:19:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 46000 = 5000+5X strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:19:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 41000 = 5X strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:19:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R6C1 1 OK 8200 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:20:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C2 1 OK 27000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:20:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B ValidEquations 3 OK 27000=5000+5X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:20:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 27000 = 5000+5X strategic 1 OK subtract 5000 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:20:32.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B 22000 = 5X strategic 1 OK divide 5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:20:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 REAL13B R7C1 1 OK 4400 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:21:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C1 1 OK area of construction default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:21:26.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C1 1 OK square foot default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:21:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R1C2 1 OK the cost of construction default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R2C2 1 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R3C2 1 OK 46.50x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:21.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R4C1 1 OK 1500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 1 ERROR 2153 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:37.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R5C1 2 OK 215 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C2 1 OK 162750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:22:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C2 1 OK 97138.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 ValidEquations 1 OK 162750=46.5x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 ValidEquations 2 OK 162750=46.5X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:20.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 162750 = 46.5X strategic 1 OK divide 46.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R6C1 1 OK 3500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 ValidEquations 3 OK 97138.5=46.5X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 97138.5 = 46.5X strategic 1 OK divide 46.50 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:23:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T10 R7C1 1 OK 2089 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:02.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C1 1 OK time default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C1 1 BUG minutes minutes
MINUTES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C1 2 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:11.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R1C2 1 OK distance the jet has flown default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R2C2 1 OK miles default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R3C2 1 OK 250+1200x default_condition Using large numbers Using simple numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:40.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R4C1 1 OK 2.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:24:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R5C1 1 OK .25 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:25:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C2 1 OK 3500/2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:25:09.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C2 1 ERROR 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:26:59.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C2 2 OK 3500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 1 OK 1750=250+1200x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:15.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 2 OK 1750=250+1200X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:23.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1750 = 250+1200X strategic 1 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 1500 = 1200X strategic 1 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R6C1 1 OK 5/4 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A ValidEquations 3 OK 3500=250+1200X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 3500 = 250+1200X strategic 1 OK subtract 250 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A 3250 = 1200X strategic 1 OK divide 1200 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:27:54.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T31A R7C1 1 OK 65/24 default_condition Find X, positive slope Using large numbers Using simple numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:28:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C1 1 OK number of students enrolled in algebra default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:28:42.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:28:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R1C2 1 OK students recieving a or b default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:29:04.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 1 ERROR 25/100 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:29:24.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 2 ERROR .25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:31:31.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 3 BUG .25/x .25/x
Your input is interpreted as .25/x. Use parentheses to type (1/4)X+0 BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:31:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 4 BUG (.25)/x (.25)/x
Your input is interpreted as (.25)/x. Use parentheses to type (1/4)X+0 BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:32:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R3C2 5 OK (1/4)x+0 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:08.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R4C1 1 OK 440 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R5C1 1 OK 700 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C2 1 OK 1125 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C2 1 OK 40 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 1 OK 1125=(1/4)*x+0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:49.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 2 OK 1125=(1/4)*X+0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:34:55.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 1125 = (1/4)*X+0 strategic 1 ERROR subtract 0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 1125 = (1/4)*X+0 strategic 2 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:05.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R6C1 1 OK 4500 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:10.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 ValidEquations 3 OK 40=(1/4)*X+0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 40 = (1/4)*X+0 strategic 1 OK multiply 4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 PERCENT01 R7C1 1 OK 160 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:33.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C1 1 OK the number of people default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:36.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:41.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R1C2 1 OK cost of the cake default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R2C2 1 ERROR dolas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:35:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R2C2 2 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:36:07.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R3C2 1 OK 1.35x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:12.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:14.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R5C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:19.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C2 1 OK 54 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C2 1 OK 70.2 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 1 OK 1.35x=54 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 2 OK 1.35X=54 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:43.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 1.35X = 54 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:46.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R6C1 1 OK 40 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:37:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 ValidEquations 3 OK 1.35X=70.2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:01.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 1.35X = 70.2 strategic 1 OK divide 1.35 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:03.0 CYCLE CYCLE CTA1_04 CTA1_04-2 EMX03 R7C1 1 OK 52 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:25.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C1 1 OK time worked default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:30.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R1C2 1 OK total pay default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:35.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R2C2 1 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:45.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R3C2 1 OK 11.25x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:50.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R4C1 1 OK 10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:51.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R5C1 1 OK 42.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:38:56.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C2 1 OK 1000 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:00.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C2 1 OK 781.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:16.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 1 OK 1000=11.25x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:17.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 2 OK 1000=11.25X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:22.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 1000 = 11.25X strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:28.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R6C1 1 OK 88.8889 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:34.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C ValidEquations 3 OK 781.25=11.25X default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:44.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C 781.25 = 11.25X strategic 1 OK divide 11.25 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:39:48.0 CYCLE CYCLE CTA1_04 CTA1_04-2 BH1T02C R7C1 1 OK 69.4444 default_condition Find X, Simple Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:41:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C1 1 OK number of snow conessold default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:41:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:41:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R1C2 1 OK the profit default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:41:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R2C2 1 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:09.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R3C2 1 OK 1.50x-60 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:19.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R4C1 1 OK 300 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R5C1 1 OK 750 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:31.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C2 1 OK 540 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C2 1 OK 283.5 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 1 BUG 540=1.5x-160 540=1.5x-160
Please check to make sure that 540=1.5x-160 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 2 OK 540=1.5x-60 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:42:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 3 OK 540=1.5X-60 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:05.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 540 = 1.5X-60 strategic 1 OK add 60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:10.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 600 = 1.5X strategic 1 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R6C1 1 OK 400 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C ValidEquations 4 OK 283.5=1.5X-60 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 283.5 = 1.5X-60 strategic 1 OK add 60 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 343.5 = 1.5X strategic 1 BUG multiply 1.5 To remove the coefficient of 1.5X, you need to divide. Erase your last step and then divide both sides by 1.5. BUG default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C 343.5 = 1.5X strategic 2 OK divide 1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:43:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 BH1T41C R7C1 1 OK 229 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C1 1 OK length of the mobile telephone default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:25.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R1C2 1 OK total cost of the call default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:29.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R2C2 1 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R3C2 1 OK .5x+3 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R4C1 1 OK 3 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:47.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R5C1 1 OK 15 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:45:52.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C2 1 OK 7 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:46:03.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R6C1 1 OK 8 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:46:07.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C2 1 OK 23.50 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:46:40.0 CYCLE CYCLE CTA1_04 CTA1_04-3 DEC01C R7C1 1 OK 41 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 1 BUG the cost the cost
Be more specific. Can you say more about COST? BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C1 2 OK the cost of the items default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C1 1 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:33.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R1C2 1 OK total cost of the order default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R2C2 1 OK dollas default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:38.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:50.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 1 INITIAL_HINT Enter an expression to calculate the total cost of the order using the cost of the items. HINT 1 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:52.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 2 NEXT_HINT There are two parts to this. One is that you need to find an expression for the discount ("discounting each item in the order by 25%"). The other is that you need to add the flat fee of $25 . HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:55.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 3 NEXT_HINT First, work on expressing the discounted part. The discount is the cost of the items minus 25%. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:47:59.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 4 NEXT_HINT Discounting each item in the order by 25% means subtracting 0.25 times the cost of the items. So the discount is 0.25X. Since the discount is subtracted from the cost of the items, the total cost of the order will be X-0.25X. Don't forget the flat fee of $25 . HINT 4 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:48:02.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 5 NEXT_HINT Write an expression that means the cost of the items minus 0.25 times the cost of the items plus the flat fee of $25 . HINT 5 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:48:06.0 HINT HINT CTA1_04 CTA1_04-3 PERCENT14C R3C2 6 NEXT_HINT Enter X-0.25X+25 (you could also enter 0.75X + 25, which means the same thing). HINT 6 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:48:17.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R3C2 7 OK x-.25x+25 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:49:16.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R4C1 1 OK 500 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:49:21.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R5C1 1 OK 150 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:49:32.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C2 1 OK 231.25 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:49:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C2 1 OK 250 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 1 OK x-0.25x+25=231.25 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:13.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 2 OK X-0.25X+25=231.25 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 231.25 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:27.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X = 206.25 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R6C1 1 OK 275 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C ValidEquations 3 OK X-0.25X+25=250 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C X-0.25X+25 = 250 strategic 1 OK subtract 25 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:54.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C 0.75X = 225 strategic 1 OK divide .75 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:50:57.0 CYCLE CYCLE CTA1_04 CTA1_04-3 PERCENT14C R7C1 1 OK 300 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:52:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C1 1 BUG the cellular the cellular
You are close. Try "the cellular phone time used next month." BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:52:18.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C1 2 BUG the phone time the phone time
Try the cellular phone time used next month. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:52:35.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C1 3 OK the cellular phone time used next month default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:52:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R2C1 1 OK minutes default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session5 2005-09-28 08:55:44.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:17:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R1C2 1 OK the amount of the next bill default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:17:46.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R2C2 1 OK dollars default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:18:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 1 ERROR 6.79-.27 default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:18:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 2 ERROR 6.79-.27x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:18:39.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 3 BUG 6.79+.27x 6.79+.27x
Does balance on the next bill start at a positive number of dollars or a negative number of dollars? BUG default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:18:51.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R3C2 4 OK -6.79+.27x default_condition Using difficult numbers Using small numbers Write expression, positive slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:18:59.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R4C1 1 OK 100 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:19:02.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R5C1 1 OK 29 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:19:08.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R6C2 1 OK 60.71 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:19:12.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C2 1 OK 30 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:19:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 1 OK -6.79+0.27x=60.71 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:19:50.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 2 OK -6.79+0.27X=60.71 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:19:58.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C -6.79+0.27X = 60.71 strategic 1 ERROR subtract .27 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:14.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C -6.79+0.27X = 60.71 strategic 2 OK add 6.79 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:20.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C 0.27X = 67.5 strategic 1 OK divide .27 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:24.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R6C1 1 OK 250 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:30.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C ValidEquations 3 OK -6.79+0.27X=30 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:37.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C -6.79+0.27X = 30 strategic 1 OK add 6.79 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:42.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C 0.27X = 36.79 strategic 1 OK divide .27 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:20:49.0 CYCLE CYCLE CTA1_04 CTA1_04-3 L2FB15C R7C1 1 OK 136.2593 default_condition Find X, positive slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:21:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C1 1 OK the number of hours default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:21:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C1 1 OK hours default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:21:14.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:22:00.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R1C2 1 OK the temperature of the liquid default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:22:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 1 BUG degrees DEGREES
Temperature can be measured in "Degrees Celsius," "Degrees Fahrenheit" or "Kelvin". Which one do you mean? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:22:25.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R2C2 2 OK degrees celcius default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:03.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R3C2 1 OK -33-1.5x default_condition Using difficult numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R4C1 1 OK 8 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:16.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R5C1 1 OK 24 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:31.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:37.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C2 1 OK -60 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 1 OK -33-1.5x=0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:51.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 2 OK -33-1.5X=0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:23:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = 0 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:15.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5X = 33 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:17.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 1 BUG 22 22
Use parentheses. Type (0 - -33)/ -1.5 as (0 - -33)/ -1.5 BUG default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:19.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 1 ERROR 22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:24.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R6C1 2 OK -22 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 3 BUG -33-1.5X=60 -33-1.5X=60
Please check to make sure that -33-1.5X=60 is an appropriate equation to solve. BUG default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A ValidEquations 4 OK -33-1.5X=-60 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:43.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -33-1.5X = -60 strategic 1 OK add 33 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A -1.5X = -27 strategic 1 OK divide -1.5 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:24:50.0 CYCLE CYCLE CTA1_04 CTA1_04-4 L5FB04A R7C1 2 OK 18 default_condition Find X, negative slope Using difficult numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:04.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C1 1 OK the digging time default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 1 BUG hours HOURS
HOURS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:10.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 2 BUG years YEARS
YEARS is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:18.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 3 BUG decades decades
DECADES is a unit of Time, but it is not the most appropriate one for this problem. What other units measure Time? BUG default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:35.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C1 4 OK month default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:38.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C1 1 OK x default_condition Define Variable hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R1C2 1 OK the depth of the mine default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:25:59.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R2C2 1 OK feet default_condition Identifying units hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:26:12.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 1 ERROR 1375+9x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:26:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R3C2 2 OK -1375-9x default_condition Using simple numbers Using small numbers Write expression, negative slope hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:26:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 1 BUG 4 4
4 is the the digging time in years, but we want to use months. How many months are in four years? BUG default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:26:56.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R4C1 2 OK 12*4 default_condition Convert unit, standard Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:27:01.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 1 ERROR 4*10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:27:07.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 2 BUG 12*10 12*10
Think about the sign of your answer. BUG default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:27:11.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R5C1 3 OK -12*10 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:27:21.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C2 1 OK 0 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:27:28.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C2 1 OK -2068 default_condition Entering a given hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:28:40.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 1 OK -1375-9x=0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:28:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 2 OK -1375-9X=0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:28:48.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = 0 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:28:52.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = 1375 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:28:58.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R6C1 1 OK -1375/9 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:29:32.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 3 OK -1375-9x=-2068 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:29:33.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B ValidEquations 4 OK -1375-9X=-2068 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:29:41.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -1375-9X = -2068 strategic 1 OK add 1375 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:29:45.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B -9X = -693 strategic 1 OK divide -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:29:46.0 CYCLE CYCLE CTA1_04 CTA1_04-4 BH1T47B R7C1 1 OK 77 default_condition Find X, negative slope Using simple numbers Using small numbers hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:30:47.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3 = 5 strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:30:52.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y-3+3 = 5+3 strategic 1 OK clt 2y-3+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:30:54.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 5+3 strategic 1 OK clt 5+3 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:30:58.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y = 8 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:04.0 CYCLE CYCLE ES_02 ES_02-1 EG2-FIXED 2y/2 = 8/2 strategic 1 OK rf 2y/2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:12.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-6-5)*2 strategic 1 OK clt -6-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:15.0 CYCLE CYCLE ES_02 ES_02-1 EG30 -11*2 strategic 1 OK mt -11*2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:20.0 CYCLE CYCLE ES_02 ES_02-1 EG31 5(7+7) strategic 1 OK clt 7+7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:23.0 CYCLE CYCLE ES_02 ES_02-1 EG31 5*14 strategic 1 OK mt 5*14 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:30.0 CYCLE CYCLE ES_02 ES_02-1 EG29 10-6*6 strategic 1 OK mt 6*6 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:32.0 CYCLE CYCLE ES_02 ES_02-1 EG29 10-36 strategic 1 OK clt 10-36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:37.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2-1*-1 strategic 1 OK mt 1*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:39.0 CYCLE CYCLE ES_02 ES_02-1 EG28 2-(-1) strategic 1 OK clt 2-(-1) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:44.0 CYCLE CYCLE ES_02 ES_02-1 EG30 (-9+9)*-7 strategic 1 OK clt -9+9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:46.0 CYCLE CYCLE ES_02 ES_02-1 EG30 0*-7 strategic 1 OK mt 0*-7 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:52.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-9*-2 strategic 1 ERROR clt 1-9*-2 strategic default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:55.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-9*-2 strategic 2 OK mt 9*-2 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:31:57.0 CYCLE CYCLE ES_02 ES_02-1 EG28 1-(-18) strategic 1 OK clt 1-(-18) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:02.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -7-2*0 strategic 1 OK mt 2*0 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:05.0 CYCLE CYCLE ES_02 ES_02-1 EG29 -7-0 strategic 1 OK clt -7-0 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:12.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-4*-7 strategic 1 OK mt 4*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:14.0 CYCLE CYCLE ES_02 ES_02-1 EG28 -2-(-28) strategic 1 OK clt -2-(-28) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:20.0 CYCLE CYCLE ES_02 ES_02-1 EG29 5-9*-3 strategic 1 OK mt 9*-3 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:24.0 CYCLE CYCLE ES_02 ES_02-1 EG29 5-(-27) strategic 1 OK clt 5-(-27) default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:30.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (5-5)*1 strategic 1 OK clt 5-5 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:34.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK 0*1 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:38.0 CYCLE CYCLE ES_02 ES_02-2 EG30 0*1 strategic 1 OK mt 0*1 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:40.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:48.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5(1-9) strategic 1 OK clt 1-9 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:52.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 1 OK -5*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:32:59.0 CYCLE CYCLE ES_02 ES_02-2 EG31 -5*-8 strategic 1 OK mt -5*-8 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:01.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 2 ERROR -40 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:04.0 CYCLE CYCLE ES_02 ES_02-2 EG31 FinalAnswer strategic 3 OK 40 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:11.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10-9*-4 strategic 1 OK mt 9*-4 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:19.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 ERROR 10+45 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:23.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 OK 10+36 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:27.0 CYCLE CYCLE ES_02 ES_02-2 EG28 10+36 strategic 1 OK clt 10+36 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK 46 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:36.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8+7*-1 strategic 1 OK mt 7*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:43.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -8-7 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:48.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -8-7 strategic 1 OK clt -8-7 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:33:53.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -15 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:02.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -6*-8-5 strategic 1 OK mt -6*-8 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:06.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 ERROR 42-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:12.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK 48-5 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 48-5 strategic 1 OK clt 48-5 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:18.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 3 OK 43 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:28.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-4*7 strategic 1 OK mt 4*7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:31.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 1 OK -5-28 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:35.0 CYCLE CYCLE ES_02 ES_02-2 EG28 -5-28 strategic 1 OK clt -5-28 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:38.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 2 ERROR -32 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:39.0 CYCLE CYCLE ES_02 ES_02-2 EG28 FinalAnswer strategic 3 OK -33 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:45.0 CYCLE CYCLE ES_02 ES_02-2 EG30 (-5-7)*-4 strategic 1 OK clt -5-7 default_condition [SkillRule: Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; (+/-x +/-a)/b=c, mult; (+/-x +/-a)*b=c, div; [var expr]/[const expr] = [const expr], multiply; Distribute Division left; Distribute Division right; Distribute both mult left; Distribute both mult right; Distribute both divide left; Distribute both divide right; Distribute subex}] [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:51.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 1 OK -12*-4 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:34:56.0 CYCLE CYCLE ES_02 ES_02-2 EG30 -12*-4 strategic 1 OK mt -12*-4 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:02.0 CYCLE CYCLE ES_02 ES_02-2 EG30 FinalAnswer strategic 2 OK 48 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:08.0 CYCLE CYCLE ES_02 ES_02-2 EG29 9*-1+1 strategic 1 OK mt 9*-1 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:11.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 1 OK -9+1 default_condition perform-mult-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:16.0 CYCLE CYCLE ES_02 ES_02-2 EG29 -9+1 strategic 1 OK clt -9+1 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:17.0 CYCLE CYCLE ES_02 ES_02-2 EG29 FinalAnswer strategic 2 OK -8 default_condition combine-like-terms-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:26.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = (-5+2)*-9 strategic 1 OK clt -5+2 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:28.0 CYCLE CYCLE ES_02 ES_02-3 EG34 y = -3*-9 strategic 1 OK mt -3*-9 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:34.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -41(-35-40) = y strategic 1 OK clt -35-40 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:36.0 CYCLE CYCLE ES_02 ES_02-3 EG35B -41*-75 = y strategic 1 OK mt -41*-75 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:43.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -9-1*-9 strategic 1 OK mt 1*-9 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:45.0 CYCLE CYCLE ES_02 ES_02-3 EG32 y = -9-(-9) strategic 1 OK clt -9-(-9) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:50.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -8-8*-7 strategic 1 OK mt 8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:35:57.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -8-(-56) strategic 1 ERROR mt y = -8-(-56) strategic default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:02.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -8-8*-7 strategic 2 OK mt 8*-7 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:05.0 CYCLE CYCLE ES_02 ES_02-3 EG33 y = -8-(-56) strategic 2 OK clt -8-(-56) default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:11.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = (-5+30)*-19 strategic 1 OK clt -5+30 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:15.0 CYCLE CYCLE ES_02 ES_02-3 EG34A y = 25*-19 strategic 1 OK mt 25*-19 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:22.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -45+0*39 strategic 1 OK mt 0*39 default_condition [SkillRule: Select Multiply/Divide, nested; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:24.0 CYCLE CYCLE ES_02 ES_02-3 EG32C x = -45+0 strategic 1 OK clt -45+0 default_condition [SkillRule: Consolidate vars, no coeff; CLT] [SkillRule: Select Combine Terms; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:31.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-47+4)*17 = x strategic 1 OK clt -47+4 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -43*17 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:55.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -43*17 = x strategic 1 OK mt -43*17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:36:58.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -731 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:37:07.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = 10(-6-10) strategic 1 OK clt -6-10 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:37:14.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 1 ERROR 10*60 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:37:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 2 OK 10*-16 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:37:36.0 CYCLE CYCLE ES_02 ES_02-4 EG35 y = 10*-16 strategic 1 OK mt 10*-16 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:37:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35 FinalAnswer strategic 3 OK -160 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:37:50.0 CYCLE CYCLE ES_02 ES_02-4 EG34B y = (-24-39)*-21 strategic 1 OK clt -24-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:05.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 ERROR -63*-31 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 ERROR -63*-213 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:09.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 3 OK -63*-21 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:24.0 CYCLE CYCLE ES_02 ES_02-4 EG34B y = -63*-21 strategic 1 OK mt -63*-21 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:29.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 4 ERROR -1323 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:37.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 5 ERROR 3.1323 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:40.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 6 OK 1323 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:49.0 CYCLE CYCLE ES_02 ES_02-4 EG35A x = -23(-16-14) strategic 1 OK clt -16-14 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:38:59.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 1 OK -23*-30 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:04.0 CYCLE CYCLE ES_02 ES_02-4 EG35A x = -23*-30 strategic 1 OK mt -23*-30 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35A FinalAnswer strategic 2 OK 690 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:28.0 CYCLE CYCLE ES_02 ES_02-4 EG34C (1-6)*34 = x strategic 1 OK clt 1-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:32.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 1 ERROR -5 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:36.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 2 OK -5*34 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:41.0 CYCLE CYCLE ES_02 ES_02-4 EG34C -5*34 = x strategic 1 OK mt -5*34 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:46.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 3 ERROR 150 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 4 ERROR 170 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:39:55.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 5 ERROR 170 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:40:34.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 6 ERROR -070 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:40:34.0 HINT HINT ES_02 ES_02-4 EG34C FinalAnswer strategic 7 INITIAL_HINT -070 In the group above, you have [-5]*[34]. Simplify that expression. HINT 1 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:40:39.0 CYCLE CYCLE ES_02 ES_02-4 EG34C FinalAnswer strategic 8 OK -170 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:40:47.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 25(6-25) strategic 1 OK clt 6-25 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:40:57.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 25*-19 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:41:01.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 25*-19 strategic 1 OK mt 25*-19 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:41:19.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -475 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:41:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -25(-17-13) strategic 1 OK clt -17-13 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:41:35.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -25*-30 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:41:40.0 CYCLE CYCLE ES_02 ES_02-4 EG35B y = -25*-30 strategic 1 OK mt -25*-30 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:41:50.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 750 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = (-2-7)*-8 strategic 1 OK clt -2-7 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:07.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 1 OK -9*-8 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:13.0 CYCLE CYCLE ES_02 ES_02-4 EG34 y = -9*-8 strategic 1 OK mt -9*-8 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:14.0 CYCLE CYCLE ES_02 ES_02-4 EG34 FinalAnswer strategic 2 OK 72 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:23.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (-14-39)*45 = x strategic 1 OK clt -14-39 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:37.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK -53*45 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:42:43.0 CYCLE CYCLE ES_02 ES_02-4 EG34A -53*45 = x strategic 1 OK mt -53*45 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:43:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK -2385 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:43:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -23(-47-18) = x strategic 1 OK clt -47-18 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:43:23.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -23*-65 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:43:28.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -23*-65 = x strategic 1 OK mt -23*-65 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:43:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 1495 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:43:49.0 CYCLE CYCLE ES_02 ES_02-4 EG34A (49+34)*24 = x strategic 1 OK clt 49+34 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 1 OK 83*24 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:05.0 CYCLE CYCLE ES_02 ES_02-4 EG34A 83*24 = x strategic 1 OK mt 83*24 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:17.0 CYCLE CYCLE ES_02 ES_02-4 EG34A FinalAnswer strategic 2 OK 1992 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:26.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 28(41-48) strategic 1 OK clt 41-48 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:37.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 1 OK 28*-7 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:41.0 CYCLE CYCLE ES_02 ES_02-4 EG35C x = 28*-7 strategic 1 OK mt 28*-7 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:44:51.0 CYCLE CYCLE ES_02 ES_02-4 EG35C FinalAnswer strategic 2 OK -196 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:02.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 37(35-18) = y strategic 1 OK clt 35-18 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:18.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK 37*17 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:22.0 CYCLE CYCLE ES_02 ES_02-4 EG35B 37*17 = y strategic 1 OK mt 37*17 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:32.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 629 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:46.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = (43-9)*0 strategic 1 OK clt 43-9 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:53.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 1 ERROR 34 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:45:56.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 2 OK 34*0 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:00.0 CYCLE CYCLE ES_02 ES_02-4 EG34B x = 34*0 strategic 1 OK mt 34*0 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:01.0 CYCLE CYCLE ES_02 ES_02-4 EG34B FinalAnswer strategic 3 OK 0 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:08.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -34(-37-31) = x strategic 1 OK clt -37-31 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:20.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 1 OK -34*-68 default_condition combine-like-terms-whole-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:24.0 CYCLE CYCLE ES_02 ES_02-4 EG35B -34*-68 = x strategic 1 OK mt -34*-68 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:34.0 CYCLE CYCLE ES_02 ES_02-4 EG35B FinalAnswer strategic 2 OK 2312 default_condition perform-mult-sp hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:45.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 2+3y strategic 1 ERROR clt -4 = 2+3y strategic default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:50.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4 = 2+3y strategic 2 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:54.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-2 = 2+3y-2 strategic 1 OK clt 2+3y-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:46:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -4-2 = 3y strategic 1 OK clt -4-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:02.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6 = 3y strategic 1 OK divide 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:06.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -6/3 = 3y/3 strategic 1 OK rf 3y/3 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:14.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+6y = -5 strategic 1 OK subtract 6 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:19.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6+6y-6 = -5-6 strategic 1 OK clt 6+6y-6 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:24.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y = -5-6 strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:28.0 CYCLE CYCLE ES_02 ES_02-5 EG40 6y/6 = (-5-6)/6 strategic 1 OK rf 6y/6 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:34.0 CYCLE CYCLE ES_02 ES_02-5 EG40 y = (-5-6)/6 strategic 1 OK clt -5-6 default_condition [SkillRule: Select Eliminate Parens; {CLT nested; CLT nested, parens; Distribute Mult right; Distribute Mult left; Distribute subex}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:41.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -2x+9 strategic 1 OK subtract 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:46.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-9 = -2x+9-9 strategic 1 OK clt -2x+9-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:49.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4-9 = -2x strategic 1 OK clt 4-9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:47:56.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5 = -2x strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:48:00.0 CYCLE CYCLE ES_02 ES_02-5 EG40 -5/-2 = -2x/-2 strategic 1 OK rf -2x/-2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:48:20.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4 = -9+6y strategic 1 OK add 9 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:48:27.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4+9 = -9+6y+9 strategic 1 OK clt -9+6y+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:48:30.0 CYCLE CYCLE ES_02 ES_02-5 EG40 4+9 = 6y strategic 1 OK clt 4+9 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:48:35.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13 = 6y strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:48:40.0 CYCLE CYCLE ES_02 ES_02-5 EG40 13/6 = 6y/6 strategic 1 OK rf 6y/6 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:49:53.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7 = -7y+7 strategic 1 OK subtract 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:49:58.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-7 = -7y+7-7 strategic 1 OK typein -7y default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 7-7 = -7y+7-7 strategic 2 OK typein 0 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:10.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0 = -7y strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:12.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-7 = -7y/-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:14.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-7 = -7y/-7 strategic 2 ERROR typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:26.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-7 = -7y/-7 strategic 3 ERROR typein 0-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:43.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-7 = -7y/-7 strategic 4 ERROR typein -7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:50:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 0/-7 = -7y/-7 strategic 5 OK typein 0/-7 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:05.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2 = 9x-5 strategic 1 OK add 5 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:08.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+5 = 9x-5+5 strategic 1 OK typein 9x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:11.0 CYCLE CYCLE ES_02 ES_02-6 EG40 -2+5 = 9x-5+5 strategic 2 OK typein 3 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:16.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = 9x strategic 1 OK divide 9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:19.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/9 = 9x/9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:21.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3/9 = 9x/9 strategic 2 OK typein 3/9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:31.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3 = -8+6x strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] [SkillRule: ax+b=c, negative; ax+b=c, negative] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:34.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+8 = -8+6x+8 strategic 1 OK typein 6x default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:37.0 CYCLE CYCLE ES_02 ES_02-6 EG40 3+8 = -8+6x+8 strategic 2 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:46.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:49.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11/6 = 6x/6 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:51:55.0 CYCLE CYCLE ES_02 ES_02-6 EG40 11/6 = 6x/6 strategic 2 OK typein 11/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:09.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4-8 = 2 strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4-8+8 = 2+8 strategic 1 OK clt x/-4-8+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:16.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = 2+8 strategic 1 OK clt 2+8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:23.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4 = 10 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:27.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x/-4*-4 = 10*-4 strategic 1 OK mt x/-4*-4 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:32.0 CYCLE CYCLE ES_02 ES_02-7 EG41 x = 10*-4 strategic 1 OK mt 10*-4 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:40.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/6 = -2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:45.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2+y/6-2 = -2-2 strategic 1 OK clt 2+y/6-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:48.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6 = -2-2 strategic 1 OK clt -2-2 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:51.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6 = -4 strategic 1 OK multiply 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:56.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y/6*6 = -4*6 strategic 1 OK mt y/6*6 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:52:58.0 CYCLE CYCLE ES_02 ES_02-7 EG41 y = -4*6 strategic 1 OK mt -4*6 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:07.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2 = 8+x/3 strategic 1 OK subtract 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:11.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-8 = 8+x/3-8 strategic 1 OK clt 8+x/3-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:14.0 CYCLE CYCLE ES_02 ES_02-7 EG41 2-8 = x/3 strategic 1 OK clt 2-8 default_condition [SkillRule: Consolidate vars with coeff; CLT] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:19.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6 = x/3 strategic 1 OK multiply 3 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:25.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*3 = x/3*3 strategic 1 OK mt x/3*3 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:28.0 CYCLE CYCLE ES_02 ES_02-7 EG41 -6*3 = x strategic 1 OK mt -6*3 default_condition [SkillRule: Select Multiply; {MT; MT no fraction coeff}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:38.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7 = -3+(y/-4) strategic 1 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:44.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+3 = -3+(y/-4)+3 strategic 1 OK typein y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 7+3 = -3+(y/-4)+3 strategic 2 OK typein 10 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:53.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10 = y/-4 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:53:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*-4 = y/-4*-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 10*-4 = y/-4*-4 strategic 2 OK typein -40 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:17.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7 = -8+(x/-2) strategic 1 OK add 8 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:20.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+8 = -8+(x/-2)+8 strategic 1 OK typein x/-2 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:23.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -7+8 = -8+(x/-2)+8 strategic 2 OK typein 1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:27.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1 = x/-2 strategic 1 OK multiply -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:30.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-2 = x/-2*-2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:32.0 CYCLE CYCLE ES_02 ES_02-8 EG41 1*-2 = x/-2*-2 strategic 2 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:54:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -3+(x/-9) strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:01.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*-9 = (-3+(x/-9))*-9 strategic 1 ERROR typein x-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:06.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4*-9 = (-3+(x/-9))*-9 strategic 2 ERROR typein x-3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:09.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4 = -3+(x/-9) strategic 2 OK add 3 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:12.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+3 = -3+(x/-9)+3 strategic 1 OK typein -1 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:39.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -4+3 = -3+(x/-9)+3 strategic 2 OK typein x/-9 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:43.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1 = x/-9 strategic 1 OK multiply -9 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:46.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-9 = x/-9*-9 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:49.0 CYCLE CYCLE ES_02 ES_02-8 EG41 -1*-9 = x/-9*-9 strategic 2 OK typein 9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session6 2005-09-30 08:55:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 2+(y/-7) = 2 strategic 1 OK subtract 2 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:43:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-7 = 4 strategic 1 OK add 7 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:43:41.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-7+7 = 4+7 strategic 1 OK typein y/-4 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:43:45.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4-7+7 = 4+7 strategic 2 OK typein 11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:43:57.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4 = 11 strategic 1 OK multiply -4 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:43:59.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 11*-4 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:03.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-4*-4 = 11*-4 strategic 2 OK typein -44 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:18.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7) = -7 strategic 1 OK subtract 4 default_condition [SkillRule: Remove constant; {ax+b=c, positive; ax+b=c, negative; x+a=b, positive; x+a=b, negative; [var expr]+[const expr]=[const expr], positive; [var expr]+[const expr]=[const expr], negative; [var expr]+[const expr]=[const expr], all; Combine constants to right; Combine constants to left; a-x=b, positive; a/x+b=c, positive; a/x+b=c, negative}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:22.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7)-4 = -7-4 strategic 1 OK typein -11 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:29.0 CYCLE CYCLE ES_02 ES_02-8 EG41 4+(y/-7)-4 = -7-4 strategic 2 OK typein y/-7 default_condition [SkillRule: Add/Subtract; [Typein Skill: {Isolate positive; Isolate negative; Remove constant; Consolidate vars, no coeff; Consolidate vars with coeff; Consolidate vars, any}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:34.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7 = -11 strategic 1 OK multiply -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:36.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7*-7 = -11*-7 strategic 1 OK typein y default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:40.0 CYCLE CYCLE ES_02 ES_02-8 EG41 y/-7*-7 = -11*-7 strategic 2 OK typein 77 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:44:58.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 1 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:06.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 2 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 3 ERROR divide 1 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:23.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 4 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:25.0 HINT HINT ES_02 ES_02-9 EG44 8/x = -8 strategic 5 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:27.0 HINT HINT ES_02 ES_02-9 EG44 8/x = -8 strategic 6 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:35.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 7 ERROR multiply 1 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:39.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 8 BUG multiply 8 To remove the coefficient of 8/x, you need to divide. Erase your last step and then divide both sides by 8. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:45:57.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 9 BUG divide -8 Focus on the side of the equation with the variable. The variable is on the left side. BUG default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:05.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 10 ERROR divide 8 default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 11 ERROR rf 8/x = -8 strategic default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:18.0 HINT HINT ES_02 ES_02-9 EG44 8/x = -8 strategic 12 INITIAL_HINT default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:19.0 HINT HINT ES_02 ES_02-9 EG44 8/x = -8 strategic 13 NEXT_HINT 8/x is 8 divided by x. How do you undo division? HINT 2 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:23.0 HINT HINT ES_02 ES_02-9 EG44 8/x = -8 strategic 14 NEXT_HINT Multiply both sides by x. HINT 3 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:28.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x = -8 strategic 15 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:31.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/x*x = -8x strategic 1 OK mt 8/x*x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:37.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:43.0 CYCLE CYCLE ES_02 ES_02-9 EG44 8/-8 = -8x/-8 strategic 1 OK rf -8x/-8 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:50.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x = -7 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:54.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/x*x = -7x strategic 1 OK mt -6/x*x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:46:59.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = -7x strategic 1 OK divide -7 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:04.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6/-7 = -7x/-7 strategic 1 OK rf -7x/-7 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:14.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6 = 2/y strategic 1 OK multiply y default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:17.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = 2/y*y strategic 1 OK mt 2/y*y default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:22.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y = 2 strategic 1 OK divide -6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:26.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y/-6 = 2/-6 strategic 1 ERROR mt -6y/-6 = 2/-6 strategic default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:32.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -6y/-6 = 2/-6 strategic 2 OK rf -6y/-6 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:42.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x = 10 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:45.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/x*x = 10x strategic 1 OK mt -2/x*x default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:48.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2 = 10x strategic 1 OK divide 10 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:47:52.0 CYCLE CYCLE ES_02 ES_02-9 EG44 -2/10 = 10x/10 strategic 1 OK rf 10x/10 default_condition hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:03.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2 = -6/x strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:08.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = -6/x*x strategic 1 OK typein 2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:16.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = -6/x*x strategic 2 OK typein -6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:20.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x = -6 strategic 1 OK divide 2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:23.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x/2 = -6/2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 2x/2 = -6/2 strategic 2 OK typein -3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:45.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x = 6 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:48:55.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 6x strategic 1 ERROR typein -9x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:01.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 6x strategic 2 OK typein -9 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/x*x = 6x strategic 3 OK typein 6x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:10.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9 = 6x strategic 1 OK divide 6 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove positive coefficient; {ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:12.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/6 = 6x/6 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:17.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -9/6 = 6x/6 strategic 2 OK typein -9/6 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:25.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x = -8 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:28.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = -8x strategic 1 OK typein 3 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:31.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/x*x = -8x strategic 2 OK typein -8x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:37.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3 = -8x strategic 1 OK divide -8 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:39.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/-8 = -8x/-8 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:43.0 CYCLE CYCLE ES_02 ES_02-10 EG44 3/-8 = -8x/-8 strategic 2 OK typein 3/-8 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:51.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x = -2 strategic 1 OK multiply x default_condition [SkillRule: Variable in denominator; {a/x=[anything]; a/x=b; a/x=b, sophisticated}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:54.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = -2x strategic 1 OK typein -2 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:49:57.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/x*x = -2x strategic 2 OK typein -2x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:50:02.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2 = -2x strategic 1 OK divide -2 default_condition [SkillRule: Remove coefficient; {ax+b=c, divide; ax=b; [const expr]*[var fact] + [const expr] = [const expr], divide; [var expr]*[const expr] = [const expr], divide; a/b*x=c; a/b*x=c, reciprocal; ax/b=c, reciprocal; ax/b=c; x/a=b; ax=b; (+/-x +/-a)/b=c, mult; a=x*(b+c); a=x*(b-c); a=x*(b*c+d); x/a+b=c, multiply; [var expr]/[const expr] = [const expr], multiply}] [SkillRule: Remove negative coefficient; {ax/b=c, reciprocal; ax/b=c; ax=b; x/a=b}] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:50:04.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/-2 = -2x/-2 strategic 1 OK typein x default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra z9svx3mA4s session7 2005-10-05 08:50:07.0 CYCLE CYCLE ES_02 ES_02-10 EG44 -2/-2 = -2x/-2 strategic 2 OK typein 1 default_condition [SkillRule: Multiply/Divide; [Typein Skill: {Remove coefficient; Variable in denominator}]] hampton grwHb1u7Kx--1--Algebra